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Time resolved transport properties of a $Y$-junction of Tomonaga-Luttinger liquidsJun 30 2014Nov 05 2014We study time resolved transport properties of a $Y$-junction composed of interacting one-dimensional quantum wires using a bosonization approach. In particular, we investigate the AC conductivity of the $Y$-junction formed from finite length Tomonaga-Luttinger ... More

Electric-field tunable Dirac semimetal state in phosphorene thin filmsSep 12 2016Nov 10 2016We study the electric-field tunable electronic properties of phosphorene thin films, using the framework of density functional theory. We show that phosphorene thin films offer a versatile material platform to study two dimensional Dirac fermions on application ... More

Line junction in a quantum Hall system with two filling fractionsMar 10 2008We present a microscopic model for a line junction formed by counter or co-propagating single mode quantum Hall edges corresponding to different filling factors. The ends of the line junction can be described by two possible current splitting matrices ... More

Charge transport in a Tomonaga-Luttinger liquid: effects of pumping and biasFeb 19 2007Jul 07 2007We study the current produced in a Tomonaga-Luttinger liquid by an applied bias and by weak, point-like impurity potentials which are oscillating in time. We use bosonization to perturbatively calculate the current up to second order in the impurity potentials. ... More

Enhancement of tunneling density of states at a Y junction of spin-1/2 Tomonaga Luttinger liquid wiresFeb 10 2015Jul 21 2015We calculate the tunneling density of states (TDOS) in a three wire junction of interacting spin-1/2 electrons, and find an anomalous enhancement of the TDOS in the zero bias limit, even for repulsive interactions for several bosonic fixed points. This ... More

Equation of motion approach to non-adiabatic quantum charge pumpingMar 22 2006Jan 18 2007We use the equations of motion of non-interacting electrons in a one-dimensional system to numerically study different aspects of charge pumping. We study the effects of the pumping frequency, amplitude, band filling and finite bias on the charge pumped ... More

Linear magneto-chiral transport in tilted type-I and type-II Weyl SemimetalsAug 10 2018Jan 28 2019Berry curvature in Weyl semimetals results in very intriguing magneto-electric and magneto-thermal transport properties. In this paper, we explore the impact of the tilting of the Weyl nodes, which breaks the time-reversal symmetry, on the magneto-electric ... More

Nonadiabatic charge pumping in a one-dimensional system of noninteracting electrons by an oscillating potentialAug 27 2007Dec 24 2007Using a tight-binding model, we study one-parameter charge pumping in a one-dimensional system of non-interacting electrons. An oscillating potential is applied at one site while a static potential is applied in a different region. Using Floquet scattering ... More

Berry curvature induced thermopower in type-I and type-II Weyl SemimetalsMar 04 2019Mar 14 2019Berry curvature acts analogous to a magnetic field in the momentum-space, and it modifies the flow of charge carriers and entropy. This induces several intriguing magnetoelectric and magnetothermal transport phenomena in Weyl semimetals. %, including ... More

Plasmons in spin polarized graphene: a new way to measure spin polarizationMay 05 2015Jun 14 2015We study the collective charge excitations (plasmons) in spin polarized graphene, and derive explicit expressions for their dispersion in the undamped regime. From this, we are able to calculate the critical wave vector beyond which the plasmon enters ... More

Berry curvature induced thermopower in type-I and type-II Weyl SemimetalsMar 04 2019Berry curvature acts analogous to a magnetic field in the momentum-space, and it modifies the flow of charge carriers and entropy. This induces several intriguing magnetoelectric and magnetothermal transport phenomena in Weyl semimetals. Here, we explore ... More

AC conductivity of a quantum Hall line junctionSep 08 2008Aug 14 2009We present a microscopic model for calculating the AC conductivity of a finite length line junction made up of two counter or co-propagating single mode quantum Hall edges with possibly different filling fractions. The effect of density-density interactions ... More

Conductance of quantum wires: a numerical study of the effects of an impurity and interactionsJul 05 2005Mar 02 2006We use the non-equilibrium Green's function formalism along with a self-consistent Hartree-Fock approximation to numerically study the effects of a single impurity and interactions between the electrons (with and without spin) on the conductance of a ... More

Possibility of Coherent Phenomena like Bloch Oscillations with Single Photons via W-StatesFeb 09 2009Nov 30 2009We examine the behavior of single photons at multiport devices and inquire if coherent effects are possible. In particular we study how single photons need to be manipulated in order to study coherent phenomena. We show that single photons need to be ... More

A Quantum Optical SpringJan 24 2008We study the dynamics of the quantum optical spring, i.e., a spring whose spring constant undergoes discreet jumps depending on the quantum state of another system. We show the existence of revivals and fractional revivals in the quantum dynamics reminiscent ... More

Efficient Optimal Algorithm of Task Scheduling in Cloud Computing EnvironmentApr 08 2014Cloud computing is an emerging technology in distributed computing which facilitates pay per model as per user demand and requirement.Cloud consist of a collection of virtual machine which includes both computational and storage facility. The primary ... More

Achievable Rate Region of the Zero-Forcing Precoder in a 2 X 2 MU-MISO Broadcast VLC Channel with Per-LED Peak Power Constraint and Dimming ControlJan 12 2017In this paper, we consider the 2 X 2 multi-user multiple-input-single-output (MU-MISO) broadcast visible light communication (VLC) channel with two light emitting diodes (LEDs) at the transmitter and a single photo diode (PD) at each of the two users. ... More

Dynamical polarizability, screening, and plasmons in one, two, and three dimensional massive Dirac systemsApr 04 2016Nov 10 2016We study the density-density response function of a collection of charged massive Dirac particles and present analytical expressions for the dynamical polarization function in one, two and three dimensions. The polarization function is then used to find ... More

Negative longitudinal magnetoresistance in the density wave phase of Y$_2$Ir$_2$O$_7$Feb 08 2018The ground state of nanowires of single crystalline Pyrochlore Y$_2$Ir$_2$O$_7$ is a density wave. Application of a {\it transverse} magnetic field increases the threshold electric field for the collective de-pinning of the density wave state at low temperature, ... More

Power dissipation for systems with junctions of multiple quantum wiresJul 29 2009Jan 16 2010We study power dissipation for systems of multiple quantum wires meeting at a junction, in terms of a current splitting matrix (M) describing the junction. We present a unified framework for studying dissipation for wires with either interacting electrons ... More

Terahertz modulated optical sideband generation in grapheneNov 06 2018Mar 04 2019Exploration of optical non-linear response of graphene predominantly relies on ultra-short time domain measurements. Here we propose an alternate technique that uses frequency modulated continuous wavefront optical fields, thereby probing graphene's steady ... More

Nonlinear and anisotropic polarization rotation in two dimensional Dirac materialsFeb 01 2018We predict nonlinear optical polarization rotation in two dimensional massless Dirac systems including graphene and 8-$Pmmn$ borophene. When illuminated, a continuous wave optical field leads to a nonlinear steady state of photo-excited carriers in the ... More

Giant optical activity and Kerr effect in type-I and type-II Weyl semimetalsMar 20 2019We explore optical activity in thin films and bulk of type-I and type II Weyl semimetals (WSM), and demonstrate the existence of a giant Kerr effect in both. In time-reversal symmetry broken WSM thin films, the polarization rotation is caused by the optical ... More

Finite time interaction quench in a Luttinger modelNov 08 2013Jun 28 2014We analyze the dynamics of a Luttinger model following a quench in the electron-electron interaction strength, where the change in the interaction strength occurs over a finite time scale $\tau$. We study the Loschmidt echo (the overlap between the initial ... More

Evidence of density waves in single crystalline nanowires of Pyrochlore IridatesMar 03 2017We present experimental evidence of emergent density wave instability in single crystalline low dimensional wires of Yittrium based Pyrochlore Iridates. We demonstrate electric field induced nonlinear hysteretic switching of the density wave at low temperature, ... More

Dynamical polarizability, screening, and plasmons in one, two, and three dimensional massive Dirac systemsApr 04 2016We study the density-density response function of a collection of charged massive Dirac particles and present analytical expressions for the dynamical polarization function in one, two and three dimensions. The polarization function is then used to find ... More

Anisotropic transport of normal metal-barrier-normal metal junctions in monolayer phosphoreneOct 07 2016We study transport properties of a phosphorene monolayer in the presence of single and multiple potential barriers of height $U_0$ and width $d$, using both continuum and microscopic lattice models, and show that the nature of electron transport along ... More

Non-Gaussian and Gaussian Entanglement in Coupled Leaky WaveguidesJul 14 2009Mar 07 2013We investigate the viability of coupled waveguides as basic units of quantum circuits. In particular, we study the dynamics of entanglement for the single photon state, and single mode squeezed vacuum state. We further consider the case of entangled inputs ... More

Impact of Underlaid Multi-antenna D2D on Cellular Downlink in Massive MIMO SystemsNov 03 2015Mar 30 2016In this paper, we consider a massive multiple-input multiple-output (MIMO) downlink system underlaid with a network of multi-antenna D2D user equipments (UEs). Each D2D transmitter (Tx) uses all its antennas to beamform information towards its desired ... More

A novel undamped gapless plasmon mode in tilted type-II Dirac semimetalApr 23 2019We predict the existence of a novel long-lived gapless plasmon mode in a type-II Dirac semimetal (DSM). This gapless mode arises from the out-of-phase oscillations of the density fluctuations in the electron and the hole pockets of a type-II DSM. It originates ... More

Amplification of NOON StatesDec 28 2009We examine the behavior of a Non Gaussian state like NOON state under phase insensitive amplification. We derive analytical result for the density matrix of the NOON state for arbitrary gain of the amplifier. We consider cases of both symmetric and antisymmetric ... More

Casimir effect for a Bose-Einstein condensate inside a cylindrical tubeAug 25 2014Nov 08 2015We explore Casimir effect on an interacting Bose-Einstein condensate (BEC) inside a cylindrical tube. The Casimir force for the confined BEC comprises of (i) a mean-field part arising from the spatial inhomogeneity of the condensate order parameter, and ... More

Mass Deformations of Super Yang-Mills Theories in D= 2+1, and Super-Membranes: A NoteJun 26 2008Mass deformations of supersymmetric Yang-Mills theories in three spacetime dimensions are considered. The gluons of the theories are made massive by the inclusion of a non-local gauge and Poincare invariant mass term due to Alexanian and Nair, while the ... More

Open Spin Chains in Super Yang-Mills at Higher Loops: Some Potential Problems with IntegrabilityMar 09 2006May 14 2006The super Yang-Mills duals of open strings attached to maximal giant gravitons are studied in perturbation theory. It is shown that non-BPS baryonic excitations of the gauge theory can be studied within the paradigm of open quantum spin chains even beyond ... More

Evaluation Function Approximation for ScrabbleJan 25 2019The current state-of-the-art Scrabble agents are not learning-based but depend on truncated Monte Carlo simulations and the quality of such agents is contingent upon the time available for running the simulations. This thesis takes steps towards building ... More

In-plane hole density in Ca(0.1)La(0.9)Ba(1.65)La(0.35)Cu(3)O(y) ; nuclear resonance study over the full doping rangeJun 18 2006We report in-plane Cu(63) Nuclear Magnetic Resonance measurements for a series of fully enriched Ca(0.1)La(0.9)Ba(1.65)La(0.35)Cu(3)O(y) powder samples, which belong to the YBCO family, but the doping could vary from very underdoped to extremely overdoped. ... More

Aspects of Integrability in N =4 SYMAug 21 2007Various recently developed connections between supersymmetric Yang-Mills theories in four dimensions and two dimensional integrable systems serve as crucial ingredients in improving our understanding of the AdS/CFT correspondence. In this review, we highlight ... More

Mass-Gaps and Spin Chains for (Super) MembranesOct 01 2006We present a method for computing the non-perturbative mass-gap in the theory of Bosonic membranes in flat background spacetimes with or without background fluxes. The computation of mass-gaps is carried out using a matrix regularization of the membrane ... More

Stabilizing Graph-dependent Switched systems with all Unstable SubsystemsOct 08 2018We give sufficient conditions for stability of a continuous-time linear switched system with all unstable subsystems where switchings between subsystems are governed by an underlying graph. We also present a slow-fast switching mechanism on subsystems ... More

Evaluation of Semantic ClustersMay 04 1995Semantic clusters of a domain form an important feature that can be useful for performing syntactic and semantic disambiguation. Several attempts have been made to extract the semantic clusters of a domain by probabilistic or taxonomic techniques. However, ... More

Comments on Higher Loop Integrability in the $su(1|1)$ Sector of $\cal N$=4 $SYM$: Lessons From the $su(2)$ SectorJun 13 2005An analysis of two loop integrability in the $su(1|1)$ sector of $\cal{N}$=4$SYM$ is presented from the point of view of Yangian symmetries. The analysis is carried out in the scaling limit of the dilatation operator which is shown to have a manifest ... More

A Supersymmetry Preserving Mass-Deformation of N=1 Super Yang-Mills in D=2+1Sep 04 2009Sep 18 2009We construct a massive non-abelian N= 1 SYM theory on R^3. This is achieved by using a non-local gauge and Poincare invariant mass term for gluons due to Nair. The underlying supersymmetry algebra is shown to be a non-central extension of the Poincare ... More

Text Steganographic Approaches: A ComparisonFeb 12 2013Feb 14 2013This paper presents three novel approaches of text steganography. The first approach uses the theme of missing letter puzzle where each character of message is hidden by missing one or more letters in a word of cover. The average Jaro score was found ... More

A Datamining Approach for Emotions Extraction and Discovering Cricketers performance from Stadium to SensexSep 02 2018Microblogging sites are the direct platform for the users to express their views. It has been observed from previous studies that people are viable to flaunt their emotions for events (eg. natural catastrophes, sports, academics etc.), for persons (actor/actress, ... More

Wave packet dynamics in various two-dimensional systems: a unified descriptionOct 14 2014In this article we present an exact and unified description of wave-packet dynamics in various 2D systems in presence of a transverse magnetic field. We consider an initial minimum-uncertainty Gaussian wave-packet, and find that its long term dynamics ... More

Wave packet dynamics in monolayer MoS$_2$ with and without a magnetic fieldApr 17 2014May 01 2014We study the dynamics of electrons in monolayer Molybdenum Disulfide (MoS$_2$), in the absence as well as presence of a transverse magnetic field. Considering the initial electronic wave function to be a Gaussian wave packet, we calculate the time dependent ... More

Electric-field tunable Dirac semimetal state in phosphorene thin filmsSep 12 2016We study the electric-field tunable electronic properties of phosphorene thin films, using the framework of density functional theory. We show that phosphorene thin films offer a versatile material platform to study two dimensional Dirac fermions on application ... More

Plasmon modes of a massive Dirac plasma, and their superlatticesFeb 26 2015May 20 2015We explore the collective density oscillations of a collection of charged massive Dirac particles, in one, two and three dimensions and their one dimensional superlattice. We calculate the long wavelength limit of the dynamical polarization function analytically, ... More

Enhancement of tunneling density of states at a junction of three Luttinger liquid wiresOct 20 2008Jul 31 2009We study the tunneling density of states (TDOS) for a junction of three Tomonaga-Luttinger liquid wires. We show that there are fixed points which allow for the enhancement of the TDOS, which is unusual for Luttinger liquids. The distance from the junction ... More

Long-lived spin plasmons in a spin-polarized two-dimensional electron gasJun 04 2014Oct 10 2014Collective charge-density modes (plasmons) of the clean two-dimensional unpolarized electron gas are stable, for momentum conservation prevents them from decaying into single-particle excitations. Collective spin-density modes (spin plasmons) possess ... More

Persistent spin oscillations in a spin-orbit-coupled superconductorMay 23 2011Aug 17 2011Quasi-two-dimensional superconductors with tunable spin-orbit coupling are very interesting systems with properties that are also potentially useful for applications. In this manuscript we demonstrate that these systems exhibit undamped collective spin ... More

Electric field induced gap modification in ultrathin blue phosphorousDec 02 2014Mar 18 2015We investigate the possibility of band structure engineering in the recently predicted 2D layered form of blue phosphorus via an electric field (E$_z$) applied perpendicular to the layer(s). Using density functional theory, we study the effect of a transverse ... More

Four allotropes of semiconducting layered Arsenic which switch into a topological insulator via an electric field: A computational studyApr 11 2016Jun 29 2016We propose four different thermodynamically stable structural phases of arsenic monolayers based on ab-initio density functional theory calculations all of which undergo a topological phase transition on application of a perpendicular electric field. ... More

New ground states of fluorinated and oxidized phosphorene: structural and electronic propertiesJul 26 2015Mar 24 2016We systematically explore chemical functionalization of monolayer black phosphorene via chemisorption of oxygen and fluorine atoms. Using the cluster expansion technique, with vary- ing concentration of the adsorbate, we determine the ground states considering ... More

Transport and Quantum Walk of Nonclassical Light in Coupled WaveguidesJul 19 2008We study the transport and quantum walk of nonclassical light in an array of coupled waveguides which have novel properties like very low decoherence and thus making them ideal for storage of quantum information. We show how squeezing gets turned over ... More

Dual conformal transformations of smooth holographic Wilson loopsOct 23 2016We study dual conformal transformations of minimal area surfaces in $AdS_5 \times S^5$ corresponding to holographic smooth Wilson loops and some other related observables. To act with dual conformal transformations we map the string solutions to the dual ... More

On the choice of coarse variables for dynamicsApr 07 2007Apr 09 2007Two ideas for the choice of an adequate set of coarse variables allowing approximate autonomous dynamics for practical applications are presented. The coarse variables are meant to represent averaged behavior of a fine-scale autonomous dynamics.

LBV Eruptions Triggered and Powered by Binary InteractionSep 22 2010We suggest that major Luminous Blue Variable (LBV) eruptions are a result of a periastron passage interaction with the secondary star. The interaction must take place when the primary envelope is in an unstable phase. In our model the mass transferred ... More

Simultaneous communication in noisy channelsMay 09 2010Dec 24 2011A sender wishes to broadcast a message of length $n$ over an alphabet to $r$ users, where each user $i$, $1 \leq i \leq r$ should be able to receive one of $m_i$ possible messages. The broadcast channel has noise for each of the users (possibly different ... More

A Continuous Theory of Persistence for Mappings Between ManifoldsFeb 16 2011Oct 08 2013Using sheaf theory, I introduce a continuous theory of persistence for mappings between compact manifolds. In the case both manifolds are orientable, the theory holds for integer coefficients. The sheaf introduced here is stable to homotopic perturbations ... More

Evidence of magnetic mechanism for cuprate superconductivitySep 05 2009A proper understanding of the mechanism for cuprate superconductivity can emerge only by comparing materials in which physical parameters vary one at a time. Here we present a variety of bulk, resonance, and scattering measurements on the (Ca_xLa_{1-x})(Ba_{1.75-x}La_{0.25+x})Cu_3O_y ... More

Simulating the Response of the Secondary Star of Eta Carinae to Mass Accretion at Periastron PassageMay 07 2018We use high resolution 3D hydrodynamical simulations to quantify the amount of mass accreted onto the secondary star of the binary system Eta Carinae, exploring two sets of stellar masses which had been proposed for the system, the conventional mass model ... More

Rotational Doppler EffectAug 08 2002A monochromatic linear source of light is rotated with certain angular frequency and when such light is analysed after reflection then a change of frequency or wavelength may be observed depending on the location of the observer. This change of frequency ... More

Radically filtered quasi-hereditary algebras and rigidity of tilting modulesJan 28 2015Jun 08 2015Let $A$ be a quasi-hereditary algebra. We prove that in many cases, a tilting module is rigid (i.e. has identical radical and socle series) if it does not have certain subquotients whose composition factors extend more than one layer in the radical series ... More

Quasi-abelian hearts of twin cotorsion pairs on triangulated categoriesJul 14 2018We prove that, under a mild assumption, the heart H of a twin cotorsion pair ((S,T),(U,V)) on a triangulated category C is a quasi-abelian category. If C is also Krull-Schmidt and T=U, we show that the heart of the cotorsion pair (S,T) is equivalent to ... More

Accretion at the periastron passage of Eta CarinaeSep 11 2016We present high resolution numerical simulations of the colliding wind system $\eta$ Carinae, showing accretion onto the secondary star close to periastron passage. Our hydrodynamical simulations include self gravity and radiative cooling. The smooth ... More

Survey of reasoning using Neural networksFeb 14 2017Mar 02 2017Reason and inference require process as well as memory skills by humans. Neural networks are able to process tasks like image recognition (better than humans) but in memory aspects are still limited (by attention mechanism, size). Recurrent Neural Network ... More

Generalized Persistence DiagramsJan 13 2016Jul 09 2017We generalize the persistence diagram of Cohen-Steiner, Edelsbrunner, and Harer to the setting of constructible persistence modules valued in a symmetric monoidal category. We call this the type A persistence diagram of a persistence module. If the category ... More

A Few Ways to Destroy Entropic Chaoticity on Kac's SphereAug 31 2012In this work we discuss a few ways to create chaotic families that are not entropically chaotic on Kac's Sphere. We present two types of examples: limiting convex combination of an entropically chaotic family with a particularly 'bad' non-entropic family, ... More

On Villani's Conjecture Concerning Entropy Production for the Kac Master EquationSep 16 2010Apr 08 2014In this paper we take an idea presented in recent paper by Carlen, Carvalho, Le Roux, Loss, and Villani and push it one step forward to find an exact estimation on the entropy production. The new estimation essentially proves that Villani's conjecture ... More

Driving Forces and Boundary Conditions in Continuum Dislocation MechanicsMay 20 2002As a guide to constitutive specification, driving forces for dislocation velocity and nucleation rates are derived for a field theory of dislocation mechanics. A condition of closure for the theory in the form of a boundary condition for dislocation density ... More

On Non-Perturbative Results in Supersymmetric Gauge Theories - A LectureNov 20 1996Some notions in non-perturbative dynamics of supersymmetric gauge theories are being reviewed. This is done by touring through a few examples.

Simulations and Modeling of Intermediate Luminosity Optical Transients and Supernova ImpostorsJul 31 2018More luminous than classical novae, but less luminous than Supernovae, lies the exotic stellar eruptions known as Intermediate luminosity optical transients (ILOTs). They are divided into a number of sub-groups depending on the erupting progenitor and ... More

A Counter Example to Cercignani's Conjecture for the $d$ Dimensional Kac ModelApr 26 2012Kac's $d$ dimensional model gives a linear, many particle, binary collision model from which, under suitable conditions, the celebrated Boltzmann equation, in its spatially homogeneous form, arise as a mean field limit. The ergodicity of the evolution ... More

On the Subadditivity of the Entropy on the SphereApr 05 2014Apr 01 2015We present a refinement of a known entropic inequality on the sphere, finding suitable conditions under which the uniform probability measure on the sphere behaves asymptomatically like the Gaussian measure on $\mathbb{R}^N$ with respect to the entropy. ... More

Angular Synchronization by Eigenvectors and Semidefinite ProgrammingMay 20 2009Nov 20 2009The angular synchronization problem is to obtain an accurate estimation (up to a constant additive phase) for a set of unknown angles $\theta_1,...,\theta_n$ from $m$ noisy measurements of their offsets $\theta_i-\theta_j \mod 2\pi$. Of particular interest ... More

Non-local symmetries for Yang-Mills theories and their massive counterparts in two and three dimensionsDec 05 2011We identify a non-local symmetry for Yang-Mills theories in 1+1 and 2+1 spacetime dimensions. The symmetry mixes a vector current with the gauge field. The current involved in the symmetry is required to satisfy certain constraints. The explicit solution ... More

Anisotropy-Induced Quantum Interference Between Orthogonal Quantum Dot Exciton States in Semiconductor Cavity SystemsAug 23 2016We describe how quantum dot semiconductor cavity systems can be engineered to exploit anisotropy-induced dipole-dipole coupling between orthogonal dipole states in a single quantum dot. Quantum dots in single-mode cavity structures with spin exciton states, ... More

Power and efficiency analysis of a realistic resonant tunneling diode thermoelectricMar 04 2014Jul 01 2014Low-dimensional systems with sharp features in the density of states have been proposed as a means to improving the efficiency of thermoelectric devices. Quantum dot systems, which offer the sharpest density of states achievable, however, suffer from ... More

New type integral inequalities for convex functions with applications IIMar 25 2017We have recently established some integral inequalities for convex functions via the Hermite-Hadamard's inequalities. In continuation here, we also establish some interesting new integral inequalities for convex functions via the Hermite--Hadamard's inequalities ... More

Local Partial Clique Covers for Index CodingMar 08 2016Apr 29 2016Index coding, or broadcasting with side information, is a network coding problem of most fundamental importance. In this problem, given a directed graph, each vertex represents a user with a need of information, and the neighborhood of each vertex represents ... More

Auto Spell Suggestion for High Quality Speech Synthesis in HindiFeb 15 2014The goal of Text-to-Speech (TTS) synthesis in a particular language is to convert arbitrary input text to intelligible and natural sounding speech. However, for a particular language like Hindi, which is a highly confusing language (due to very close ... More

Higher Charges in Dynamical Spin Chains for SYM TheoryAug 19 2005Aug 30 2005We construct, to the first two non-trivial orders, the next conserved charge in the su(2|3) sector of N=4 Super Yang-Mills theory. This represents a test of integrability in a sector where the interactions change the number of sites of the chain. The ... More

Anisotropy-Induced Quantum Interference and Population Trapping Between Orthogonal Quantum Dot Exciton States in Semiconductor Cavity SystemsAug 23 2016Nov 23 2016We describe how quantum dot semiconductor cavity systems can be engineered to realize anisotropy-induced dipole-dipole coupling between orthogonal dipole states in a single quantum dot. Quantum dots in single-mode cavity structures as well as photonic ... More

Adaptive Resolution Simulation in Equilibrium and BeyondDec 07 2014In this paper, we investigate the equilibrium statistical properties of both the force and potential interpolations of adaptive resolution simulation (AdResS) under the theoretical framework of grand-canonical like AdResS (GC-AdResS). The thermodynamic ... More

Stochastic Control of Tidal Dynamics Equation with Levy NoiseJan 03 2015In this work we first present the existence, uniqueness and regularity of the strong solution of the tidal dynamics model perturbed by Levy noise. Monotonicity arguments have been exploited in the proofs. We then formulate a martingale problem of Stroock ... More

Characterizing Linguistic Attributes for Automatic Classification of Intent Based Racist/Radicalized Posts on Tumblr Micro-Blogging WebsiteJan 18 2017Research shows that many like-minded people use popular microblogging websites for posting hateful speech against various religions and race. Automatic identification of racist and hate promoting posts is required for building social media intelligence ... More

$2^{\aleph_0}$ pairwise non-isomorphic maximal-closed subgroups of Sym$(\mathbb{N})$ via the classification of the reducts of the Henson digraphsSep 25 2015Given two structures $\mathcal{M}$ and $\mathcal{N}$ on the same domain, we say that $\mathcal{N}$ is a reduct of $\mathcal{M}$ if all $\emptyset$-definable relations of $\mathcal{N}$ are $\emptyset$-definable in $\mathcal{M}$. In this article the reducts ... More

A Lower Bound for the Optimization of Finite SumsOct 02 2014Oct 04 2015This paper presents a lower bound for optimizing a finite sum of $n$ functions, where each function is $L$-smooth and the sum is $\mu$-strongly convex. We show that no algorithm can reach an error $\epsilon$ in minimizing all functions from this class ... More

Thermal Tachyacoustic CosmologyJun 03 2014An intriguing possibility that can address pathologies in both early universe cosmology (i.e. the horizon problem) and quantum gravity (i.e. non-renormalizability), is that particles at very high energies and/or temperatures could propagate arbitrarily ... More

A randomized covering-packing duality between source-coding and channel-codingMay 22 2015A randomized covering-packing duality between source and channel coding will be discussed by considering the source coding problem of coding a source with a certain distortion level and by considering a channel which communicates the source within a certain ... More

Regret Bounds for Stochastic Combinatorial Multi-Armed Bandits with Linear Space ComplexityNov 29 2018Many real-world problems face the dilemma of choosing best $K$ out of $N$ options at a given time instant. This setup can be modelled as combinatorial bandit which chooses $K$ out of $N$ arms at each time, with an aim to achieve an efficient tradeoff ... More

Certain composition formulae for the fractional integral operatorsMar 11 2017In this paper we establish some (presumably new) interesting expressions for the composition of some well known fractional integral operators $ I^{\mu}_{a+}, D^{\mu}_{a+} $,$ I^{\gamma , \mu}_{a+}$ and also derive an integral operator $\mathcal{H}^{w;m,n;\alpha}_{a+;p,q;\beta}$ ... More

On some new inequalities involving generalized Erdélyi-Kober fractional $q$-integral operatorMay 27 2014In the present investigation, we aim to establish some inequalities involving generalized Erd\'elyi-Kober fractional $q$-integral operator of the two parameters of deformation $q_{1}$ and $q_{2}$ due to Gaulu\'e, by following the same lines used by Baleanu ... More

Nonlinear optical conductivity of a generic two band systems, with application to doped and gapped grapheneJun 16 2016We present a general formulation to calculate the dynamic optical conductivity, beyond the linear response regime, of any electronic system whose quasiparticle dispersion is described by a two band model. Our phenomenological model is based on the optical ... More

Interlayer decoupling in twisted bilayers of $β$-phosphorus and arsenic: a computational studyMay 15 2019We investigate magnetism and band structure engineering in Moir\'e superlattice of blue phosphorus ($\beta$-P) and grey arsenene ($\beta$-As) bilayers, using \textit{ab initio} calculations. The electronic states near the valence and conduction band edges ... More

Starfruit-like nodal semimetal to Dirac and Weyl semimetal state in CaAuAsJun 05 2018Band-crossings occurring on a mirror plane are compelled to form a nodal loop in the momentum space without spin-orbit coupling (SOC). In the presence of other equivalent mirror planes, multiple such nodal loops can combine to form interesting nodal-link ... More

Topological Hourglass Dirac Semimetal in the Nonpolar Phase of Ag$_2$BiO$_3$Nov 27 2018Materials with tunable charge and lattice degrees of freedom provide excellent platforms for investigating multiple phases that can be controlled via external stimuli. We show how the charge-ordered ferroelectric oxide Ag$_2$BiO$_3$, which has been realized ... More

Beyond the Singularity of the 2-D Charged Black HoleMay 16 2003Jul 23 2003Two dimensional charged black holes in string theory can be obtained as exact (SL(2,R)xU(1))/U(1) quotient CFTs. The geometry of the quotient is induced from that of the group, and in particular includes regions beyond the black hole singularities. Moreover, ... More

Thickness and electric field dependent polarizability and dielectric constant in phosphoreneFeb 29 2016Mar 23 2016Based on extensive first principle calculations, we explore the thickness dependent effective di- electric constant and slab polarizability of few layer black phosphorene. We find that the dielectric constant in ultra-thin phosphorene is thickness dependent ... More