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Atomic Vibrations in GlassesAug 22 2019In glasses, atomic disorder combined with atomic connectivity makes understanding of the nature of the vibrations much more complex than in crystals or molecules. With a simple model, however, it is possible to show how disorder generates quasi-local ... More

Modelling zoonotic diseases, cooperation between spreading and spontaneous infectionAug 22 2019Many infectious processes, such as human diseases or computer viruses, spread across complex networks following directed links. While in some cases there exists a clear separation of timescales between the propagation of one outbreak and the initiation ... More

The Jamming Energy Landscape is Hierarchical and UltrametricAug 22 2019The free energy landscape of mean field marginal glasses is ultrametric. We demonstrate that this feature remains in finite 3 dimensional systems by finding sets of minima which are nearby in configuration space. By calculating the distance between these ... More

Memristive Networks: from Graph Theory to Statistical PhysicsAug 21 2019We provide an introduction to a very specific toy model of memristive networks, for which an exact differential equation for the internal memory which contains the Kirchhoff laws is known. In particular, we highlight how the circuit topology enters the ... More

Dynamic disorder induced memristance in amorphous solidsAug 21 2019Motivated by the recent discovery of several amorphous oxides exhibiting remarkable threshold switching and hysteresis in the current-voltage response, we outline a purely quantum mechanism of memristance based on Anderson localization. Concerting first ... More

On a "continuum" formulation of the Ising model partition functionAug 21 2019We derive an exact path integral formulation for the partition function for the Ising model using a mapping between spins and poles of a Laurent expansion for a field on the complex plane. The advantage in using this formulation for the evaluation of ... More

Measurement-induced criticality in random quantum circuitsAug 21 2019We investigate the critical behavior of the entanglement transition induced by projective measurements in (Haar) random unitary quantum circuits. Using a replica approach, we map the calculation of the entanglement entropies in such circuits onto a two-dimensional ... More

Virtual clusters model on branching random graphs for confined fluid thermodynamics in heterogeneous solid geometryAug 21 2019Fluid properties near rough surfaces are crucial in both a description of fundamental surface phenomena and modern industrial material design implementations. One of the most powerful approach to model real rough materials is based on the surface representation ... More

Cross frequency coupling in next generation inhibitory neural mass modelsAug 21 2019Coupling among neural rhythms is one of the most important mechanisms at the basis of cognitive processes in the brain. In this study we consider a neural mass model, rigorously obtained from the microscopic dynamics of an inhibitory spiking network with ... More

Effective transport properties of conformal Voronoi-bounded columns via recurrent boundary element expansionsAug 21 2019Effective transport properties of heterogeneous structures are predicted by geometric microstructural parameters, but these can be difficult to calculate. Here, a boundary element code with a recurrent series method accurately and efficiently determines ... More

Chaotic wave packet spreading in two-dimensional disordered nonlinear latticesAug 20 2019We reveal the generic characteristics of wave packet delocalization in two-dimensional nonlinear disordered lattices by performing extensive numerical simulations in two basic disordered models: the Klein-Gordon system and the discrete nonlinear Schr\"{o}dinger ... More

Prethermal Phases of Non-equilibrium Matter in Long-range Interacting SystemsAug 20 2019We prove the existence of non-equilibrium phases of matter in the prethermal regime of periodically-driven, long-range interacting systems, with power-law exponent $\alpha > d$, where $d$ is the dimensionality of the system. In this context, we predict ... More

Statistical mechanics of the minimum vertex cover problem in stochastic block modelsAug 20 2019The minimum vertex cover (Min-VC) problem is a well-known NP-hard problem. Earlier studies illustrate that the problem defined over the Erd\"{o}s-R\'{e}nyi random graph with a mean degree $c$ exhibits computational difficulty in searching the Min-VC set ... More

Spin-selective Aharonov-Casher caging in a topological quantum networkAug 20 2019A periodic network of connected rhombii, mimicking a spintronic device, is shown to exhibit an intriguing spin selective extreme localization, when submerged in a uniform out of plane electric field. The topological Aharonov Casher phase acquired by a ... More

Spectral theory for the stability of dynamical systems on large oriented locally tree-like graphsAug 19 2019We develop a mathematical theory for the linear stability of stationary states in large dynamical systems modelled by a set of randomly coupled differential equations on a locally tree-like network. Our approach provides analytical expressions for the ... More

Power-law entanglement growth from typical product statesAug 19 2019Generic quantum many-body systems typically show a linear growth of the entanglement entropy after a quench from a product state. While entanglement is a property of the wave function, it is generated by the unitary time evolution operator and is therefore ... More

Reflection Time Difference as a probe of S-matrix Zeroes in Chaotic Resonance ScatteringAug 19 2019Motivated by recent interest in the zeroes of S-matrix entries in the complex energy plane, I use the Heidelberg model of resonance scattering to introduce the notion of Reflection Time Difference which is shown to play the same role for the {\it zeroes} ... More

Disorder driven multifractality transition in Weyl nodal loopsAug 19 2019The effect of short-range disorder in nodal line semimetals is studied by numerically exact means. For arbitrary small disorder, a novel semimetallic phase is unveiled for which the momentum-space amplitude of the ground-state wave function is concentrated ... More

Isomorph invariance of dynamics of sheared glassy systemsAug 19 2019We study hidden scale invariance in the glassy phase of the Kob-Andersen binary Lennard-Jones system. After cooling below the glass transition, we generate a so-called isomorph from the fluctuations of potential energy and virial in the NVT ensemble -- ... More

Taming two interacting particles with disorderAug 19 2019We compute the scaling properties of the localization length $\xi_2$ of two interacting particles in a one-dimensional chain with diagonal disorder, and the connectivity properties of the Fock states. We analyze record large system sizes (up to $N=20000$) ... More

Two-photon absorption in a two-level system enabled by noiseAug 18 2019We address the textbook problem of dynamics of a spin placed in a dc magnetic field and subjected to an ac drive. If the drive is polarized in the plane perpendicular to the dc field, the drive photons are resonantly absorbed when the spacing between ... More

Time dynamics with matrix product states: Many-body localization transition of large systems revisitedAug 18 2019We compare accuracy of two prime time evolution algorithms involving Matrix Product States - tDMRG (time-dependent density matrix renormalization group) and TDVP (time-dependent variational principle). The latter is supposed to be superior within a limited ... More

On the multifractal dimensions and statistical properties of critical ensembles characterized by the three classical Wigner-Dyson symmetry classesAug 18 2019We introduce a power-law banded random matrix model for the third of the three classical Wigner-Dyson ensembles, i.e., the symplectic ensemble. A detailed analysis of the statistical properties of its eigenvectors and eigenvalues, at criticality, is presented. ... More

Screening the Coulomb interaction and thermalization of Anderson insulatorsAug 18 2019Long range interactions are relevant for a wide range of phenomena in physics where they often present a challenge to theory. In condensed matter, the interplay of Coulomb interaction and disorder remains largely an unsolved problem. In two dimensional ... More

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplicationAug 16 2019We present exact analytical results for the distribution of shortest path lengths (DSPL) in a directed network model that grows by node duplication. Such models are useful in the study of the structure and growth dynamics of gene regulatory networks and ... More

An exploratory study of the glassy landscape near jammingAug 16 2019We present the study of the landscape structure of athermal soft spheres both as a function of the packing fraction and of the energy. We find that, on approaching the jamming transition, the number of different configurations available to the system ... More

Organization of fast and slow chromatin revealed by single-nucleosome dynamicsAug 16 2019Understanding chromatin organization and dynamics is important since they crucially affect DNA functions. In this study, we investigate chromatin dynamics by statistically analyzing single-nucleosome movement in living human cells. Bi-modal nature of ... More

Machine learning magnetic parameters from spin configurationsAug 16 2019Estimation of Hamiltonian is key to our understanding of everything in quantum mechanics. For magnetic systems, in particular, the task can be daunting due to the exponentially large Hilbert space. Here, we show that modern machine learning architectures, ... More

Neural network for phase diagrams of polymer-containing liquid mixturesAug 15 2019Polymer-containing liquid mixtures can exhibit macroscopic phase separation and microphase separation. The diversity of the phase behavior exponentially increases when altering the polymer architecture or adding salt ions, yet exploring and modeling this ... More

Many-Body Localization LandscapeAug 14 2019We generalize the notion of "localization landscape," introduced by M. Filoche and S. Mayboroda [Proc. Natl. Acad. Sci. USA 109, 14761 (2012)] for the single-particle Schrodinger operator, to a wide class of interacting many-body Hamiltonians. The many-body ... More

Quasi-periodic quantum thermal machinesAug 14 2019Steady-state thermoelectric machines convert heat into work by driving a thermally-generated charge current against a voltage gradient. In this work, we propose a new class of steady-state heat engines operating in the quantum regime, where a quasi-periodic ... More

Spin-orbital glass transition in a model frustrated pyrochlore magnet without quenched disorderAug 14 2019We show theoretically that spin and orbital degrees of freedom in the pyrochlore oxide Y2Mo2O7, which is free of quenched disorder, can exhibit a simultaneous glass transition, working as dynamical randomness to each other. The interplay of spins and ... More

Boolean constraint satisfaction problems for reaction networksAug 13 2019This Thesis presents research at the boundary between Statistical Physics and Biology. First, we have devised a class of Boolean constraint satisfaction problems (CSP) whose solutions describe the feasible operational states of a chemical reaction network. ... More

Classification and prediction of wave chaotic systems with machine learning techniquesAug 13 2019The wave properties of complex scattering systems that are large compared to the wavelength, and show chaos in the classical limit, are extremely sensitive to system details. A solution to the wave equation for a specific configuration can change substantially ... More

Valley notch filter in a graphene strain superlattice: a Green's function and machine learning approachAug 13 2019The valley transport properties of a superlattice of out-of-plane Gaussians deformations are calculated using a Green's function and a Machine Learning approach. Our results show that periodicity significantly improves the valley filter capabilities of ... More

End-to-End Machine Learning for Experimental Physics: Using Simulated Data to Train a Neural Network for Object Detection in Video MicroscopyAug 13 2019We demonstrate a method for training a convolutional neural network with simulated images for usage on real-world experimental data. Modern machine learning methods require large, robust training data sets to generate accurate predictions. Generating ... More

Thermal conductance of one dimensional disordered harmonic chainsAug 12 2019We study heat conduction mediated by longitudinal phonons in one dimensional disordered harmonic chains. Using scaling properties of the phonon density of states and localization in disordered systems, we find non-trivial scaling of the thermal conductance ... More

Theory of the Phase Transition in Random Unitary Circuits with MeasurementsAug 12 2019We present a theory of the entanglement transition tuned by measurement strength in one dimensional qudit arrays evolved by random unitary circuits and subject to either weak or random projective measurements. The transition can be understood as a nonanalytic ... More

Critical behaviors of the entanglement and participation entropy near the many-body localization transition in a disordered quantum spin chainAug 12 2019The transition between many-body localized states and the delocalized thermal states is an eigen-state phase transition at finite energy density outside the scope of conventional quantum statistical mechanics. In this work we investigate the properties ... More

Many-body localization in XY spin chains with long-range interactions: An exact diagonalization studyAug 12 2019Aug 19 2019We investigate the transition from the many-body localized phase to the ergodic thermalized phase at an infinite temperature in an $XY$ spin chain with $L$ spins, which experiences power-law decaying interactions in the form of $V_{ij}\propto1/\left|i-j\right|^{\alpha}$ ... More

Many-body localization in XY spin chains with random long-range interactions: An exact diagonalization studyAug 12 2019We investigate the transition from many-body localization phase to ergodic thermalized phase at an infinite temperature in an $XY$ spin chain with $L$ spins, which experiences random power-law decaying interactions in the form of $V_{ij}\propto1/\ |i-j\ ... More

Al-Cu-Fe alloys: the relationship between the quasicrystal and its meltAug 11 2019Understanding the mechanisms which relate properties of liquid and solid phases is crucial for fabricating new advanced solid materials, such as glasses, quasicrystals and high-entropy alloys. Here we address this issue for quasicrystal-forming Al-Cu-Fe ... More

Classification of symmetry-protected topological phases in two-dimensional many body-localized systemsAug 11 2019We use low-depth quantum circuits, a specific type of tensor networks, to classify two-dimensional symmetry-protected topological many-body localized (MBL) phases. The existence of strict MBL in strongly disordered two-dimensional systems is currently ... More

Classical Information Theory of NetworksAug 10 2019Heterogeneity is among the most important features characterizing real-world networks. Empirical evidence in support of this fact is unquestionable. Existing theoretical frameworks justify heterogeneity in networks as a convenient way to enhance desirable ... More

Generalized random matrix model with additional interactionsAug 10 2019We introduce a generalized form of the random matrix ensemble with additional interaction, the strength of which depends on a parameter $\gamma$. The equilibrium density is computed by numerically solving the Riemann-Hilbert problem associated with the ... More

An elementary renormalization-group approach to the Generalized Central Limit Theorem and Extreme Value DistributionsAug 09 2019The Generalized Central Limit Theorem is a remarkable generalization of the Central Limit Theorem, showing that the sum of a large number of independent, identically-distributed (i.i.d) random variables with infinite variance may converge under appropriate ... More

Unsupervised detection of topological quantum state equivalencesAug 09 2019We present an unsupervised computational scheme for detecting topological quantum state equivalences. The proposed procedure consists of two separate stages: Exploration and Prediction. In the exploration stage, inspired by data augmentation techniques ... More

Disordered Quantum Transport in Quantum Anomalous Hall Insulator-Superconductor JunctionsAug 09 2019In this communication, we numerically studied disordered quantum transport in a quantum anomalous Hall insulator-superconductor junction based on the effective edge model approach. In particular, we focus on the parameter regime with the free mean path ... More

Out of Time Order Correlations in the Quasi-Periodic Aubry-André modelAug 09 2019Aug 20 2019We study out of time ordered correlators (OTOC) in a free fermionic model with a quasi-periodic potential. This model is equivalent to the Aubry-Andr\'e model and features a phase transition from an extended phase to a localized phase at a non-zero value ... More

Out of Time Order Correlations in the Quasi-Periodic Aubry-André modelAug 09 2019We study out of time ordered correlators (OTOC) in a free fermionic model with a quasi-periodic potential. This model is equivalent to the Aubry-Andr\'e model and features a phase transition from an extended phase to a localized phase at a non-zero value ... More

Quantum percolation in quasicrystals using continuous-time quantum walkAug 08 2019We study the percolation of a quantum particle on quasicrystal lattices and compare it with the square lattice. For our study, we have considered quasicrystal lattices modelled on the pentagonally symmetric Penrose tiling and the octagonally symmetric ... More

Universality and Quantum Criticality in Quasiperiodic Spin ChainsAug 07 2019Quasiperiodic systems are aperiodic but deterministic, so their critical behavior differs from that of clean systems as well as disordered ones. Quasiperiodic criticality was previously understood only in the special limit where the couplings follow discrete ... More

Scale Invariant Entanglement Negativity at the Many-Body Localization TransitionAug 07 2019The exact nature of the many-body localization transition remains an open question. An aspect which has been posited in various studies is the emergence of scale invariance around this point, however the direct observation of this phenomenon is still ... More

Disorder in Twisted Bilayer GrapheneAug 07 2019We develop a theory for a qualitatively new type of disorder in condensed matter systems arising from local twist-angle fluctuations in two strongly coupled van der Waals monolayers twisted with respect to each other to create a flat band moir\'e superlattice. ... More

Disentangling activity-aware human flows reveals the hidden functional organization of urban systemsAug 07 2019Increasing evidence supports the fact that cities are complex systems, with a broad spectrum of structural and dynamical features which lead to unexpected and emerging phenomena. Understanding urban dynamics at individual level -- but also as the outcome ... More

BoltzmaNN: Deriving effective pair potentials and equations of state using neural networksAug 07 2019In this work we investigate the use of neural networks (NNs) to devise effective equations of state from a given isotropic pair potential using the virial expansion of the pressure. We train the NNs with data from molecular dynamics simulations, sampled ... More

Goldstone Modes in the Emergent Gauge Fields of a Frustrated MagnetAug 06 2019We consider magnon excitations in the spin-glass phase of geometrically frustrated antiferromagnets with weak exchange disorder, focussing on the nearest-neighbour pyrochlore-lattice Heisenberg model at large spin. The low-energy degrees of freedom in ... More

Three-dimensional universality class of Ising model with power-law-correlated critical disorderAug 05 2019We use large-scale Monte Carlo simulations to test the Weinrib-Halperin criterion that predicts new universality classes in the presence of sufficiently slowly decaying power-law-correlated quenched disorder. While new universality classes are reasonably ... More

Observation of the algebraic localization-delocalization transition in a 1D disordered potential with a bias forceAug 05 2019In a one-dimensional (1D) disordered potential, quantum interferences leading to Anderson lo-calization are ubiquitous, such that all wave-functions are exponentially localized. Moreover, no phase transition toward delocalization is expected in 1D. This ... More

Characterizing the mesh size of polymer solutions via the pore size distributionAug 05 2019In order to characterize the geometrical mesh size $\xi$, we simulate a solution of coarse-grained polymers with densities ranging from the dilute to the concentrated regime and for different chain lengths. Conventional ways to estimate $\xi$ rely either ... More

Non-Hermitian Topological Anderson InsulatorsAug 03 2019Non-Hermitian systems can exhibit unique topological and localization properties. Here we elucidate the non-Hermitian effects on disordered topological systems by studying a non-Hermitian disordered Su-Schrieffer-Heeger model with nonreciprocal hoppings. ... More

Residual stress distributions in athermally deformed amorphous solids from atomistic simulationsAug 02 2019By combining atomistic simulations with the frozen matrix approach, we reveal the evolution of the local residual stress distribution, $P(x)$, in an amorphous packing upon deformation. We find a pseudogap form $P(x) \sim x^{\theta}$ in the freshly quenched ... More

Supersymmetry in the nonsupersymmetric Sachdev-Ye-Kitaev modelAug 02 2019Supersymmetry is a powerful concept in quantum many-body physics. It helps to illuminate ground state properties of complex quantum systems and gives relations between correlation functions. In this work, we show that the Sachdev-Ye-Kitaev model, in its ... More

Scattering Theory of Transport Through Disordered MagnetsAug 02 2019We present a scattering theory of transport through noncollinear disordered magnetic insulators. For concreteness, we study and compare the random field model (RFM) and the random anisotropy model (RAM). We utilize the Landauer-B{\"u}ttiker formalism ... More

Scattering Theory of Transport Through Disordered MagnetsAug 02 2019Aug 05 2019We present a scattering theory of transport through noncollinear disordered magnetic insulators. For concreteness, we study and compare the random field model (RFM) and the random anisotropy model (RAM). We utilize the Landauer-B{\"u}ttiker formalism ... More

Quantum chaos in the Brownian SYK model with large finite $N$: OTOCs and tripartite informationAug 02 2019We consider the Brownian SYK model of $N$ interacting Majorana fermions, with random couplings that are taken to vary independently at each time. We study the out-of-time-ordered correlators (OTOCs) of arbitrary observables and the R\'enyi-$2$ tripartite ... More

Diversity enhanced synchronization in a small-world network of phase oscillatorsAug 01 2019In this work, we study the synchronization of a group of phase oscillators (rotors) in the small-world (SW) networks. The distribution of intrinsic angular frequency of the rotors are given by a Lorenz probability density function with zero mean and the ... More

Many-body-localization induced protection of symmetry-protected topological order in a XXZ spin modelAug 01 2019There is a qualitative conjecture by Huse et al. [Phys. Rev. B 88, 014206 (2013)], and Chandran et al. [Phys. Rev. B 89,144201 (2014)]: Localization protects quantum order of groundstate even in high excited eigenstates. In this work, we show a concrete ... More

Ott-Antonsen ansatz is the only admissible truncation of a circular cumulant seriesAug 01 2019The cumulant representation is common in classical statistical physics for variables on the real line and the issue of closures of cumulant expansions is well elaborated. The case of phase variables significantly differs from the case of linear ones; ... More

Hidden Anderson Localization in Disorder-Free Ising-Kondo LatticeJul 31 2019Anderson localization (AL) phenomena usually exists in systems with random potential. However, disorder-free quantum many-body systems with local conservation can also exhibit AL or even many-body localization transition. In this work, we show that the ... More

Instability of disorder-free localizationJul 31 2019The phenomenon of localization is usually accompanied with the presence of quenched disorder. To what extent disorder is necessary for localization is a well-known open problem. In this paper, we prove the instability of disorder-free localization. For ... More

Electron transport and electron density inside quasi-one-dimensional disordered conductorsJul 30 2019We consider the problem of electron transport across a quasi-one-dimensional disordered multiply-scattering medium, and study the statistical properties of the electron density inside the system. Electrons of a given energy feed the disordered conductor ... More

Many-body localization in long range model: Real space renormalization group studyJul 30 2019We develop a real space renormalization group (RSRG) scheme by appropriately inserting the long range hopping $t\sim r^{-\alpha}$ to study the entanglement entropy (EE) and maximum block size (MBS) for many-body localization transition. We show that for ... More

Simulating complex quantum networks with time crystalsJul 30 2019Crystals arise as a result of the breaking of a spatial translation symmetry. Similarly, periodically-driven systems host non-equilibrium states when discrete symmetries in time are broken. These exotic phases are often referred to as time crystals. Here ... More

Sampling scheme for neuromorphic simulation of entangled quantum systemsJul 30 2019Due to the complexity of the space of quantum many-body states the computation of expectation values by statistical sampling is, in general, a hard task. Neural network representations of such quantum states which can be physically implemented by neuromorphic ... More

On the delta function broadening in the Kubo-Greenwood equationJul 30 2019Understanding DC electrical conductivity is crucial for the study of materials. Macroscopic DC conductivity can be calculated from first principles using the Kubo-Greenwood equation. The procedure involves finding the thermodynamic limit of the current ... More

Analog Errors in Quantum Annealing: Doom and HopeJul 29 2019Quantum annealing has the potential to provide a speedup over classical algorithms in solving optimization problems. Just as for any other quantum device, suppressing Hamiltonian control errors will be necessary before quantum annealers can achieve speedups. ... More

Local Spectroscopies Reveal Percolative Metal in Disordered Mott InsulatorsJul 29 2019We elucidate the mechanism by which a Mott insulator transforms into a non-Fermi liquid metal upon increasing disorder at half filling. By correlating maps of the local density of states, the local magnetization and the local bond conductivity, we find ... More

Anomalous diffusion and localization in a positionally disordered quantum spin arrayJul 29 2019Disorder in quantum systems can lead to the disruption of long-range order in the ground state and to the localization of the elementary excitations - famous examples thereof being the Bose glass of interacting bosons in a disordered or quasi-periodic ... More

Universality of continuous phase transitions on random Voronoi graphsJul 29 2019The Voronoi construction is ubiquitous across the natural sciences and engineering. In statistical mechanics, though, critical phenomena have so far been only investigated on the Delaunay triangulation, the dual of a Voronoi graph. In this paper we set ... More

Universality of continuous phase transitions on random Voronoi graphsJul 29 2019Aug 02 2019The Voronoi construction is ubiquitous across the natural sciences and engineering. In statistical mechanics, though, critical phenomena have so far been only investigated on the Delaunay triangulation, the dual of a Voronoi graph. In this paper we set ... More

Addition to Structure and dynamics of a polymer-nanoparticle composite: Effect of nanoparticle size and volume fractionJul 29 2019In our previous publication (Ref. 1) we have shown that the data for the normalized diffusion coefficient of the polymers, $D_p/D_{p0}$, falls on a master curve when plotted as a function of $h/\lambda_d$, where $h$ is the mean interparticle distance ... More

Does the boson peak survive in an ultrathin oxide glass?Jul 29 2019Bulk glasses exhibit extra vibrational modes at low energies, known as the boson peak. The microscopic dynamics in nanoscale alumina impact the performance of qubits and other superconducting devices, however the existence of the boson peak in these glasses ... More

From eigenstate to Hamiltonian: new prospects for ergodicity and localizationJul 28 2019This work addresses the so-called inverse problem which consists in searching for (possibly multiple) parent target Hamiltonian(s), given a single quantum state as input. Starting from $\Psi_0$, an eigenstate of a given local Hamiltonian $\mathcal{H}_0$, ... More

Collective dynamics of random Janus oscillator networksJul 28 2019Janus oscillators have been recently introduced as a remarkably simple phase oscillator model that exhibits non-trivial dynamical patterns -- such as chimeras, explosive transitions, and asymmetry-induced synchronization -- that once were only observed ... More

Gumbel statistics for entanglement spectra of many-body localized eigenstatesJul 26 2019An entanglement spectrum encodes statistics beyond the entanglement entropy, of which several have been studied in the context of many-body localization. We numerically study the extreme value statistics of entanglement spectra of many-body localized ... More

Pseudo-gaps for random hopping modelsJul 26 2019For one-dimensional random Schr\"odinger operators, the integrated density of states is known to be given in terms of the (averaged) rotation number of the Pr\"ufer phase dynamics. This paper develops a controlled perturbation theory for the rotation ... More

Athermal Fracture of Elastic Networks: How Rigidity Challenges the Unavoidable Size-Induced BrittlenessJul 26 2019By performing extensive simulations with unprecedentedly large system sizes, we unveil how rigidity influences the fracture of disordered materials. The largest damage is observed close to rigidity points when the rupture thresholds are small. Fewer bonds ... More

Vortex phase diagram and the normal state of cuprates with charge and spin ordersJul 25 2019The phase diagram of underdoped cuprates in a magnetic field ($H$) is the key ingredient in understanding the anomalous normal state of these high-temperature superconductors. However, the upper critical field ($H_{c2}$) or the extent of superconducting ... More

Richardson diffusion in neuronsJul 25 2019The dynamics of an initial wave packed affected by random noise is considered in the framework of a comb model. The model is relevant to a diffusion problem in neurons where the transport of ions can be accelerated by an external random field due to synapse ... More

Computational hardness of spin-glass problems with tile-planted solutionsJul 25 2019We investigate the computational hardness of spin-glass instances on a square lattice, generated via a recently introduced tunable and scalable approach for planting solutions. The method relies on partitioning the problem graph into edge-disjoint subgraphs, ... More

Generalized Aubry-André-Harper model with modulated hopping and $p$-wave pairingJul 24 2019We study an extended Aubry-Andr{\'e}-Harper model with simultaneous modulation of hopping, on-site potential, and $p$-wave superconducting pairing. For the case of commensurate modulation of $\beta = 1/2$ it is shown that the model hosts four different ... More

Model of level statistics for disordered interacting quantum many-body systemsJul 24 2019We numerically study level statistics of disordered interacting quantum many-body systems. A two-parameter plasma model which controls level repulsion exponent $\beta$ and range $h$ of interactions between eigenvalues is shown to reproduce accurately ... More

Circles of equal radii randomly placed on a plane: some rigorous results, asymptotic behavior, and application to transparent electrodesJul 24 2019We consider $N$ circles of equal radii, $r$, having their centers randomly placed within a square domain $\mathcal{D}$ of size $L \times L$ with periodic boundary conditions ($\mathcal{D} \in \mathbb{R}^2$). When two or more circles intersect each other, ... More

Basis Glass States: New Insights from the Potential Energy LandscapeJul 24 2019Using the potential energy landscape formalism we show that, in the temperature range in which the dynamics of a glass forming system is thermally activated, there exists a unique set of "basis glass states" each of which is confined to a single metabasin ... More

Topological and conventional phases of a three dimensional electron glassJul 23 2019We investigate a symmetry protected $Z_2$ topological electron glass -- a glassy equivalent of the $Z_2$ topological band insulator in crystalline systems -- and uncover associated quantum phase transitions in this three dimensional amorphous network ... More

Quantum Metrology with Strongly Interacting Spin SystemsJul 23 2019Quantum metrology makes use of coherent superpositions to detect weak signals. While in principle the sensitivity can be improved by increasing the density of sensing particles, in practice this improvement is severely hindered by interactions between ... More

Explosive Phenomena in Complex NetworksJul 23 2019The emergence of large-scale connectivity and synchronization are crucial to the structure, function and failure of many complex socio-technical networks. Thus, there is great interest in analyzing phase transitions to large-scale connectivity and to ... More

Autonomous Probabilistic Coprocessing with Petaflips per SecondJul 23 2019In this paper we present a concrete design for a probabilistic (p-) computer based on a network of p-bits, robust classical entities fluctuating between -1 and +1, with probabilities that are controlled through an input constructed from the outputs of ... More

Experimental proof of Quantum Zeno-assisted Noise SensingJul 22 2019In the ideal quantum Zeno effect, repeated quantum projective measurements can protect the coherent dynamics of a quantum system. However, in the weak quantum Zeno regime, measurement back-actions can allow the sensing of semi-classical field fluctuations. ... More