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A Mean Field Theory of Batch NormalizationFeb 21 2019We develop a mean field theory for batch normalization in fully-connected feedforward neural networks. In so doing, we provide a precise characterization of signal propagation and gradient backpropagation in wide batch-normalized networks at initialization. ... More

Structural origins of electronic conduction in amorphous copper-doped aluminaFeb 20 2019We perform an {\it ab initio} modeling of amorphous copper-doped alumina (a-Al$_2$O$_3$:Cu), a prospective memory material based on resistance switching, and study the structural origin of electronic conduction in this material. We generate molecular ... More

Why replica symmetry breaking does not occur below six dimensions in Ising spin glassesFeb 19 2019The leading term for the average height of the barriers which could separate pure states in Ising spin glasses is calculated using instanton methods. It is finite in dimensions $d < 6$. Replica symmetry breaking requires that the barriers between pure ... More

Stochastic bursting in unidirectionally delay-coupled noisy excitable systemsFeb 19 2019We show that \emph{stochastic bursting} is observed in a ring of unidirectional delay-coupled noisy excitable systems, thanks to the combinational action of time-delayed coupling and noise. Under the approximation of timescale separation, i.e., when the ... More

Helical transport in coupled resonator waveguidesFeb 18 2019We show that a synthetic pseudospin-momentum coupling can be used to design quasi-one-dimensional disorder-resistant coupled resonator optical waveguides (CROW). In this structure, the propagating Bloch waves exhibit a pseudospin-momentum locking at specific ... More

Efficiency and shrinking in evolving networksFeb 16 2019Characterizing the spatio-temporal evolution of networks is a central topic in many disciplines. While network expansion has been studied thoroughly, less is known about how empirical networks behave when shrinking. For transportation networks, this is ... More

Controlled charge and spin current rectifications in a spin polarized device: Effect of dephasingFeb 14 2019Quasicrystals have been the subject of intense research in the discipline of condensed matter physics due to their non-trivial characteristic features. We find surprisingly high degree of charge and spin current rectifications in a one-dimensional system ... More

Neural-Network Approach to Dissipative Quantum Many-Body DynamicsFeb 13 2019In experimentally realistic situations, quantum systems are never perfectly isolated and the coupling to their environment needs to be taken into account. Often, the effect of the environment can be well approximated by a Markovian master equation. However, ... More

Stabilizing a discrete time crystal against dissipationFeb 13 2019Eigenstate phases such as the discrete time crystal exhibit an inherent instability upon the coupling to an environment, which restores equipartition of energy and therefore acts against the protecting nonergodicity. Here, we demonstrate that a discrete ... More

Scaling Limits of Wide Neural Networks with Weight Sharing: Gaussian Process Behavior, Gradient Independence, and Neural Tangent Kernel DerivationFeb 13 2019Several recent trends in machine learning theory and practice, from the design of state-of-the-art Gaussian Process to the convergence analysis of deep neural nets (DNNs) under stochastic gradient descent (SGD), have found it fruitful to study wide random ... More

Are many-body localized systems stable in the presence of a small bath?Feb 12 2019When pushed out of equilibrium, generic interacting quantum systems equilibrate locally and are expected to evolve towards a locally thermal description despite their unitary time evolution. Systems in which disorder competes with interactions and transport ... More

Many-body localization transition in a two-dimensional disordered quantum dimer modelFeb 11 2019Many-body localization is a unique physical phenomenon driven by interactions and disorder for which a quantum system can evade thermalization. While the existence of a many-body localized phase is now well-established in one-dimensional systems, its ... More

Multi-faceted machine learning of competing orders in disordered interacting systemsFeb 11 2019While the non-perturbative interaction effects in the fractional quantum Hall regime can be readily simulated through exact diagonalization, it has been challenging to establish a suitable diagnostic that can label different phases in the presence of ... More

Deep autoregressive models for the efficient variational simulation of many-body quantum systemsFeb 11 2019Artificial Neural Networks were recently shown to be an efficient representation of highly-entangled many-body quantum states. In practical applications, neural-network states inherit numerical schemes used in Variational Monte Carlo, most notably the ... More

Neural Activity of Heterogeneous Inhibitory Spiking Networks with DelayFeb 11 2019We study a network of spiking neurons with heterogeneous excitabilities connected via inhibitory delayed pulses. For globally coupled systems the increase of the inhibitory coupling reduces the number of firing neurons by following a Winner Takes All ... More

Electrical conductance of two-dimensional composites with embedded rodlike fillers: an analytical consideration and comparison of two computational approachesFeb 11 2019Using Monte Carlo simulation, we studied the electrical conductance of two-dimensional films. The films consisted of a poorly conductive host matrix and highly conductive rodlike fillers (rods). The rods were of various lengths, obeying a log-normal distribution. ... More

Faster calculation of the percolation correlation length on spatial networksFeb 11 2019The divergence of the correlation length $\xi$ at criticality is an important phenomenon of percolation in two-dimensional systems. Substantial speed-ups to the calculation of the percolation threshold and component distribution have been achieved by ... More

Faster calculation of the percolation correlation length on spatial networksFeb 11 2019Feb 13 2019The divergence of the correlation length $\xi$ at criticality is an important phenomenon of percolation in two-dimensional systems. Substantial speed-ups to the calculation of the percolation threshold and component distribution have been achieved by ... More

Machine Learning Forcefield for Silicate GlassesFeb 09 2019Developing accurate, transferable, and computationally-efficient interatomic forcefields is key to facilitate the modeling of silicate glasses. However, the high number of forcefield parameters that need to be optimized render traditional parameterization ... More

Topological Control of Synchronization Patterns: Trading Symmetry for StabilityFeb 08 2019Symmetries are ubiquitous in network systems and have profound impacts on the observable dynamics. At the most fundamental level, many synchronization patterns are induced by underlying network symmetry, and a high degree of symmetry is believed to enhance ... More

Anomalous diffusion: A basic mechanism for the evolution of inhomogeneous systemsFeb 08 2019In this article we review classical and recent results in anomalous diffusion and provide mechanisms useful for the study of the fundamentals of certain processes, mainly in condensed matter physics, chemistry and biology. Emphasis will be given to some ... More

Asymptotic behavior of the solution of the space dependent variable order fractional diffusion equation: ultra-slow anomalous aggregationFeb 08 2019We find for the first time the asymptotic representation of the solution to the space dependent variable order fractional diffusion and Fokker-Planck equations. We identify a new advection term that causes ultra-slow spatial aggregation of subdiffusive ... More

Mean Field Limit of the Learning Dynamics of Multilayer Neural NetworksFeb 07 2019Can multilayer neural networks -- typically constructed as highly complex structures with many nonlinearly activated neurons across layers -- behave in a non-trivial way that yet simplifies away a major part of their complexities? In this work, we uncover ... More

Eshelby ensemble of highly viscous flow out of equilibriumFeb 07 2019The recent description of the highly viscous flow in terms of irreversible structural Eshelby rearrangements is extended to calculate the heat capacity of a glass former at a constant cooling rate through the glass transition. The result is compared to ... More

Engineering magnetoresistance: A new perspectiveFeb 07 2019A new proposal is given to achieve high degree of magnetoresistance (MR) in a magnetic quantum device where two magnetic layers are separated by a non-magnetic (NM) quasiperiodic layer that acts as a spacer. The NM spacer is chosen in the form of well-known ... More

Strong frequency dependence of transport in the driven Fano-Anderson modelFeb 07 2019We study a periodically driven central site coupled to a disordered environment. In comparison to the static model, transport features are either enhanced or reduced, depending on the frequency of the drive. We demonstrate this by analyzing the statistics ... More

The role of a layer in deep neural networks: a Gaussian Process perspectiveFeb 06 2019A fundamental question in deep learning concerns the role played by individual layers in a deep neural network (DNN) and the transferable properties of the data representations which they learn. To the extent that layers have clear roles one should be ... More

Entanglement and spectra in topological many-body localized phasesFeb 06 2019Many-body localized systems in which interactions and disorder come together defy the expectations of quantum statistical mechanics: In contrast to ergodic systems, they do not thermalize when undergoing non-equilibrium dynamics. What is less clear, however, ... More

(Fe,Sn)4N alloy as a model spin-glass system with short-range competing interactions on a nonfrustrated simple cubic latticeFeb 06 2019The origin of the spin-glass state in (Fe,Sn)4N alloys is studied on the basis of a Heisenberg Hamiltonian with parameters derived from first principles within the magnetic force theorem applied in the framework of the disordered local moments method ... More

Ionic conductivity of deep eutectic solvents: The role of orientational dynamics and glassy freezingFeb 06 2019We have performed a thorough examination of the reorientational relaxation dynamics and the ionic charge transport of three typical deep eutectic solvents, ethaline, glyceline and reline by broadband dielectric spectroscopy. Our experiments cover a broad ... More

Phononic Topological States in 1D QuasicrystalsFeb 06 2019We theoretically analyze the spectrum of phonons of a one-dimensional quasiperiodic lattice. We simulate the quasicrystal from the classic system of spring-bound atoms with a force constant modulated by the Aubry-Andr\'e model so that its value is slightly ... More

Probing topological properties of 3D lattice dimer model with neural networksFeb 05 2019Here, we consider a simple problem, demonstrating that neural networks can be successfully used to give new insights in statistical physics. Specifically, we consider 3D lattice dimer model, which consists of sites forming a lattice and bonds connecting ... More

Helicity-protected Transport in Magnetically Doped One-Dimensional WiresFeb 05 2019We study the phase diagram and transport properties of one-dimensional quantum wires functionalized by magnetic ad-atoms with a high density. The appropriate theoretical model for these systems is a one-dimensional Kondo Lattice (KL) which consists of ... More

Hope4Genes: a Hopfield-like class prediction algorithm for transcriptomic dataFeb 05 2019After its introduction in 1982, the Hopfield model has been extensively applied for classification and pattern recognition. Recently, its great potential in gene expression patterns retrieval has also been shown. Following this line, we develop Hope4Genes ... More

From Parisi to Boltzmann. The replica symmetry phaseFeb 03 2019We sketch a new framework for the analysis of disordered systems, and in particular of mean field spin glasses. The ensuing treatment is from first principles, within the formalism of classical thermodynamics, and variational in nature. For the sake of ... More

Glass-induced enhancement of superconducting $T_c$: Pairing via dissipative mediatorsFeb 01 2019With substantial evidence of glassy behavior in the phase diagram of high $T_c$ superconductors and its co-existence with superconductivity, we attempt to answer the question: what are the properties of a superconducting state where the force driving ... More

Ensembles, Dynamics, and Cell Types: Revisiting the Statistical Mechanics Perspective on Cellular RegulationFeb 01 2019Genetic regulatory networks control ontogeny. For fifty years Boolean networks have served as models of such systems, ranging from ensembles of random Boolean networks as models for generic properties of gene regulation to working dynamical models of ... More

Random Combinatorial Optimization Problems: Mean Field and Finite-Dimensional ResultsFeb 01 2019This PhD thesis is organized as follows. In the first two chapters I will review some basic notions of statistical physics of disordered systems, such as random graph theory, the mean-field approximation, spin glasses and combinatorial optimization. The ... More

Optically Controlled Entangling Gates in Randomly Doped SiliconFeb 01 2019Randomly-doped silicon has many competitive advantages for quantum computation; not only is it fast to fabricate but it could naturally contain high numbers of qubits and logic gates as a function of doping densities. We determine the densities of entangling ... More

Localization as an entanglement phase transition in boundary-driven Anderson modelsJan 31 2019The Anderson localization transition is one of the most well studied examples of a zero temperature quantum phase transition. On the other hand, many open questions remain about the phenomenology of disordered systems driven far out of equilibrium. Here ... More

Detecting Nematic Order in STM/STS Data with Artificial IntelligenceJan 30 2019Detecting the subtle yet phase defining features in Scanning Tunneling Microscopy and Spectroscopy data remains an important challenge in quantum materials. We meet the challenge of detecting nematic order from local density of states data with supervised ... More

Using Floating Gate Memory to Train Ideal Accuracy Neural NetworksJan 29 2019Floating gate SONOS (Silicon-Oxygen-Nitrogen-Oxygen-Silicon) transistors can be used to train neural networks to ideal accuracies that match those of floating point digital weights on the MNIST dataset when using multiple devices to represent a weight ... More

Chaos in a quantum rotor modelJan 29 2019We study scrambling in a model consisting of a number $N$ of $M$-component quantum rotors coupled by random infinite-range interactions. This model is known to have both a paramagnetic phase and a spin glass phase separated by second order phase transition. ... More

Statistical field theory for neural networksJan 29 2019These notes attempt a self-contained introduction into statistical field theory applied to neural networks of rate units and binary spins. The presentation consists of three parts: First, the introduction of fundamental notions of probabilities, moments, ... More

Construction of Many-Body Eigenstates with Displacement TransformationsJan 29 2019Many-body eigenstates beyond the gaussian approximation can be constructed in terms of local integrals of motion (IOM), although their actual computation has been until now a daunting task. We present a new practical computation of IOMS based on displacement ... More

Tracking the connection between disorder and energy landscape in glasses using geologically hyperaged amberJan 29 2019Fossil amber offers the unique opportunity of investigating an amorphous material which has been exploring its energy landscape for more than 110 Myears of natural aging. By applying different x-ray scattering methods to amber before and after annealing ... More

Numerical implementation of dynamical mean field theory for disordered systems: application to the Lotka-Volterra model of ecosystemsJan 28 2019Dynamical mean field theory (DMFT) is a tool that allows to analyze the stochastic dynamics of $N$ interacting degrees of freedom in terms of a self-consistent $1$-body problem. In this work, focusing on models of ecosystems, we present the derivation ... More

Relation between heterogeneous frozen regions in supercooled liquids and non-Debye spectrum in the corresponding glassesJan 28 2019Recent molecular dynamics simulation of glasses brought compelling evidenced of the existence -- besides the phonons that are Goldstone (G) vibrational modes-- of non-Goldstone (nG) modes. Different strategies have been exploited to modify the relative ... More

Theory of elastic constants of athermal amorphous solids with internal stressesJan 28 2019A new microscopic derivation of the elastic constants of amorphous solids is presented within the framework of nonaffine lattice dynamics, which makes use of a perturbative form of the low-frequency eigenvectors of the dynamical matrix introduced in [V. ... More

Many-body dynamical localisation of coupled quantum kicked rotorsJan 27 2019The quantum motion of $N$ coupled kicked rotors is mapped to an interacting $N$-particle Anderson-Aubry-Andr$\'e$ tight-binding problem supporting many-body localised (MBL) phases. Interactions in configuration space are known to be insufficient for destroying ... More

Bipartitioning of directed and mixed random graphsJan 27 2019We show that an intricate relation of cluster properties and optimal bipartitions, which takes place in undirected random graphs, extends to directed and mixed random graphs. In particular, the satisfability threshold coincides with the relative size ... More

Generalisation dynamics of online learning in over-parameterised neural networksJan 25 2019Deep neural networks achieve stellar generalisation on a variety of problems, despite often being large enough to easily fit all their training data. Here we study the generalisation dynamics of two-layer neural networks in a teacher-student setup, where ... More

Parylene Based Memristive Devices with Multilevel Resistive Switching for Neuromorphic ApplicationsJan 24 2019In this paper, the resistive switching and neuromorphic behavior of memristive devices based on parylene, a biocompatible and low-cost polymer, is comprehensively studied. The Metal/Parylene/ITO sandwich structures were prepared by means of the standard ... More

Atomistic simulation of nearly defect-free models of amorphous silicon: An information-based approachJan 24 2019We present an information-based total-energy optimization method to produce nearly defect-free structural models of amorphous silicon. Using geometrical, structural and topological information from disordered tetrahedral networks, we have shown that it ... More

Approximating power of machine-learning ansatz for quantum many-body statesJan 24 2019An artificial neural network (ANN) with the restricted Boltzmann machine (RBM) architecture was recently proposed as a versatile variational quantum many-body wave function. In this work we provide physical insights into the performance of this ansatz. ... More

Dilute magnetism in grapheneJan 24 2019The phase diagram of graphene decorated with magnetic adatoms distributed either on a single sublattice, or evenly over the two sublattices, is computed for adatom concentrations as low as $\sim1\%$. Within the framework of the $s$-$d$ interaction, we ... More

Convergent Dynamics for Solving the TAP Equations of Ising Models with Arbitrary Rotation Invariant Coupling MatricesJan 24 2019We propose an iterative algorithm for solving the Thouless-Anderson-Palmer (TAP) equations of Ising models with arbitrary rotation invariant (random) coupling matrices. In the large-system limit, as the number of iterations tends to infinity we prove ... More

Evidence for Supersymmetry in the Random-Field Ising Model at D = 5Jan 24 2019We provide a non-trivial test of supersymmetry in the random-field Ising model at five spatial dimensions, by means of extensive zero-temperature numerical simulations. Indeed, supersymmetry relates correlation functions in a D-dimensional disordered ... More

Jensen's force and the statistical mechanics of cortical asynchronous statesJan 24 2019The cortex exhibits self-sustained highly-irregular activity even under resting conditions, whose origin and function need to be fully understood. It is believed that this can be described as an "asynchronous state" stemming from the balance between excitation ... More

Measurement-driven entanglement transition in hybrid quantum circuitsJan 23 2019In this paper we continue to explore "hybrid" quantum circuit models in one-dimension with both unitary and measurement gates, focussing on the entanglement properties of wavefunction trajectories at long times, in the steady state. We simulate a large ... More

Self-avoiding walks and connective constants in clustered scale-free networksJan 23 2019Various types of walks on complex networks have been used in recent years to model search and navigation in several kinds of systems, with particular emphasis on random walks. This gives valuable information on network properties, but self-avoiding walks ... More

Collective learning from individual experiences and information transfer during group foragingJan 22 2019Living in groups brings benefits to many animals, such as a protection against predators and an improved capacity for sensing and making decisions while searching for resources in uncertain environments. A body of studies has shown how collective behaviors ... More

Many-body delocalization dynamics in long Aubry-André quasiperiodic chainsJan 21 2019We theoretically study quench dynamics in an interacting one-dimensional spin chain with a quasi-periodic on-site field, also known as the interacting Aubry-Andr\'e model of many-body localization. Using the time-dependent variational principle we assess ... More

Message-passing algorithm of quantum annealing with nonstoquastic HamiltonianJan 21 2019Jan 24 2019Quantum annealing (QA) is a generic method for solving optimization problems using fictitious quantum fluctuation. The current device performing QA involves controlling the transverse field; it is classically simulatable by using the standard technique ... More

Concentration of multi-overlaps for random ferromagnetic spin modelsJan 19 2019We consider ferromagnetic spin models on dilute random graphs and prove that, with suitable one-body infinitesimal perturbations added to the Hamiltonian, the multi-overlaps concentrate for all temperatures, both with respect to the thermal Gibbs average ... More

The adaptive interpolation method for proving replica formulas. Applications to the Curie-Weiss and Wigner spike modelsJan 19 2019In this contribution we give a pedagogic introduction to the newly introduced adaptive interpolation method to prove in a simple and unified way replica formulas for Bayesian optimal inference problems. Many aspects of this method can already be explained ... More

Unfolding of phases and multicritical points in the Classical Anisotropic van Hemmen Spin Glass Model with Random FieldJan 17 2019We study magnetic properties of the 3-state spin ($S_{i}=0$ and $\pm 1$) spin glass (SG) van Hemmen model with ferromagnetic interaction $J_0$ under a random field (RF). The RF follows a bimodal distribution The combined effect of the crystal field $D$ ... More

Localized surfaces of three dimensional topological insulatorsJan 16 2019We study the surface of a three-dimensional spin chiral $\mathrm{Z}_2$ topological insulator (class CII), demonstrating the possibility of its localization. This arises through an interplay of interaction and statistically-symmetric disorder, that confines ... More

Large deviations of the length of the longest increasing subsequence of random permutations and random walksJan 16 2019We study numerically the distributions of the length $L$ of the longest increasing subsequence (LIS) for the two cases of random permutations and of one-dimensional random walks. Using sophisticated large-deviation algorithms, we are able to obtain very ... More

Search for Anderson localization of light by cold atoms in a static electric fieldJan 15 2019We explore the potential of a static electric field to induce Anderson localization of light in a large cloud of randomly distributed, immobile atoms with a nondegenarate ground state (total angular momentum $J_g = 0$) and a three-fold degenerate excited ... More

Resonant Excitation of Oscillator with Randomly Shifted LevelsJan 14 2019The problem of resonant excitation of a harmonic oscillator the energy levels of which are slightly shifted under the action of a random potential is solved. It is shown that, in this case, there exists a threshold magnitude of the exciting resonance ... More

Electronic conduction mechanisms in GeSe$_3$:Ag and Al$_2$O$_3$:CuJan 14 2019In this paper, we discuss the atomistic structure of two conducting bridge computer memory materials, including Cu-doped alumina and silver-doped GeSe$_3$. We show that the Ag is rather uniformly distributed through the chalcogenide glass, whereas the ... More

Anderson localization and delocalization of massless two-dimensional Dirac electrons in random one-dimensional scalar and vector potentialsJan 12 2019We study Anderson localization of massless Dirac electrons in two dimensions in one-dimensional random scalar and vector potentials theoretically for two different cases, in which the scalar and vector potentials are either uncorrelated or correlated. ... More

Machine learning assisted measurement of local topological invariantsJan 10 2019Jan 23 2019The continuous effort towards topological quantum devices calls for an efficient and non-invasive method to assess the conformity of components in different topological phases. Here, we show that machine learning paves the way towards non-invasive topological ... More

Edge mode locality in perturbed symmetry protected topological orderJan 09 2019Spin chains with a symmetry-protected edge zero modes can be seen as prototypical systems for exploring topological signatures in quantum systems. However in an experimental realization of such a system, spurious interactions may cause the edge zero modes ... More

Emergence of glassy features in halomethane crystalsJan 08 2019Both structural glasses and disordered crystals are known to exhibit anomalous thermal, vibrational, and acoustic properties at low temperatures or low energies, what is still a matter of lively debate. To shed light on this issue, we studied the halomethane ... More

Non-ergodic extended states in the SYK modelJan 08 2019Jan 09 2019We analytically study spectral correlations and many body wave functions of an SYK-model deformed by a one body contribution to the Hamiltonian. Our main result is the identification of a wide range of intermediate coupling strengths where the spectral ... More

Synchronization transitions through metastable state on structured networksJan 08 2019Recently, we considered the fully connected competing Kuramoto model with uniform intrinsic frequency distribution $g(\omega)$. This competing Kuramoto model assigns two opposite-sign coupling constants $K_1 < 0$ and $K_2 > 0$ to $1-p$ and $p$ fractions ... More

Specific heat and non-linear susceptibility in spin glasses with random fieldsJan 07 2019We study magnetic properties of spin glass SG systems under a random field (RF), beased on the suggestion that RFs can be induced by a weak transverse field in the compound LiHo$_x$Y$_{1-x}$F$_4$. We consider a cluster spin model that allows long-range ... More

Critical factors for mitigating car traffic in citiesJan 05 2019Car traffic in urban systems has been studied intensely in past decades but its analysis is often limited to empirical observations and agent-based modelling, and despite the importance and urgency of the problem we have a poor theoretical understanding ... More

Optimal local estimates of visual motion in a natural environmentDec 31 2018Many organisms, from flies to humans, use visual signals to estimate their motion through the world. To explore the motion estimation problem, we have constructed a camera/gyroscope system that allows us to sample, at high temporal resolution, the joint ... More

Physics of Arbitrary Doped Kondo Lattices: from a Commensurate Insulator to a Heavy Luttinger Liquid and a Protected Helical MetalDec 30 2018We study one-dimensional Kondo Lattices (KL) which consist of itinerant electrons interacting with Kondo impurities (KI) - localized quantum magnetic moments. We focus on KL with isotropic exchange interaction between electrons and KI and with a high ... More

A General Deep Learning Framework for Structure and Dynamics Reconstruction from Time Series DataDec 30 2018In this work, we present Gumbel Graph Network, a model-free deep learning framework for dynamics learning and network reconstruction from the observed time series data. Our method requires no prior knowledge about underlying dynamics and has shown the ... More

Training dynamically balanced excitatory-inhibitory networksDec 29 2018The construction of biologically plausible models of neural circuits is crucial for understanding the computational properties of the nervous system. Constructing functional networks composed of separate excitatory and inhibitory neurons obeying Dale's ... More

The tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev modelDec 28 2018The Sachdev-Ye-Kitaev (SYK) model, in its simplest form, describes $k$ Majorana fermions with random all-to-all four-body interactions. We consider the SYK model in the framework of a many-body Altland-Zirnbauer classification that sees the system as ... More

Numerical study of degree of light scattering strength versus fractal dimension in optical fractal disordered media: Applications in strong to weak disordered mediaDec 27 2018We numerically study effective disorder properties of optical fractal disordered systems of varying fractal dimension. The fractal media are generated using diffusion limited aggregation (DLA) technique. The degree of structural disorder or disorder strength ... More

First-order transitions in glasses and melts induced by solid superclusters nucleated and melted by homogeneous nucleation instead of surface meltingDec 27 2018Jan 10 2019Supercooled liquids give rise, by homogeneous nucleation, to solid superclusters acting as building blocks of glass, ultrastable glass, and glacial glass phases before being crystallized. Liquid-to-liquid phase transitions begin to be observed above the ... More

Roughening of the anharmonic Larkin modelDec 26 2018Dec 27 2018We study the roughening of $d$-dimensional directed elastic interfaces subject to quenched random forces. As in the Larkin model, random forces are considered constant in the displacement direction and uncorrelated in the perpendicular direction. The ... More

Multifractal Scalings across the Many-Body Localization TransitionDec 26 2018In contrast with Anderson localization where a genuine localization is observed in real space, the many-body localization (MBL) problem is much less understood in the Hilbert space, support of the eigenstates. In this work, using exact diagonalization ... More

Synaptic dynamics in complex self-assembled nanoparticle networksDec 24 2018We report a detailed study of neuromorphic switching behaviour in inherently complex percolating networks of self-assembled metal nanoparticles. We show that variation of the strength and duration of the electric field applied to this network of synapse-like ... More

The Coherence Temperature in the Diluted Periodic Anderson ModelDec 22 2018The Kondo and Periodic Anderson Model (PAM) are known to provide a microscopic picture of many of the fundamental properties of heavy fermion materials and, more generally, a variety of strong correlation phenomena in $4f$ and $5f$ systems. In this paper, ... More

Statistical models of neural activity, criticality, and Zipf's lawDec 21 2018In this overview, we discuss the connections between the observations of critical dynamics in neuronal networks and the maximum entropy models that are often used as statistical models of neural activity, focusing in particular on the relation between ... More

Dreaming neural networks: rigorous resultsDec 21 2018Recently a daily routine for associative neural networks has been proposed: the network Hebbian-learns during the awake state (thus behaving as a standard Hopfield model), then, during its sleep state, optimizing information storage, it consolidates pure ... More

`Muhammad Ali effect' and incoherent destruction of Wannier-Stark localization in a stochastic fieldDec 21 2018We calculate an exact expression for the probability propagator for a noisy electric field driven tight-binding lattice. The noise considered is a two-level jump process or a telegraph process (TP) which jumps randomly between two values $\pm\mu$. In ... More

Strong area-law violation in long range XY quantum spin glass realisable using trapped ionsDec 21 2018Jan 29 2019Ground states of local Hamiltonians are known to obey the entanglement entropy area law. While area law violation of a mild kind (logarithmic) is commonly encountered, strong area-law violation (more than logarithmic) is rare. In this paper, we study ... More

Chaotic dynamics in a quantum Fermi-Pasta-Ulam problemDec 20 2018We investigate the emergence of chaotic dynamics in a quantum Fermi - Pasta - Ulam problem for anharmonic vibrations in atomic chains applying semi-quantitative analysis of resonant interactions complemented by exact diagonalization numerical studies. ... More

Optimal stochastic unraveling of disordered open quantum systemsDec 20 2018We propose an efficient numerical method to compute configuration averages of observables in disordered open quantum systems whose dynamics can be unraveled via stochastic trajectories. We prove that the optimal sampling of trajectories and disorder configurations ... More

Forecasting failure locations in two-dimensional disordered latticesDec 19 2018Dec 21 2018Forecasting fracture locations in a progressively failing disordered structure is of paramount importance when considering structural materials. We explore this issue for gradual deterioration via beam breakage of two-dimensional disordered lattices, ... More

Quantum critical behavior at the many-body-localization transitionDec 17 2018Phase transitions are driven by collective fluctuations of a system's constituents that emerge at a critical point. This mechanism has been extensively explored for classical and quantum systems in equilibrium, whose critical behavior is described by ... More

Local spectroscopies across the superconductor-insulator transitionDec 17 2018Dec 20 2018We explore the manifestation of quantum fluctuations across the superconductor-insulator transition (SIT) in three different local measurements: the two-particle density of states $P(\mathbf{r},\omega)$, compressibility $\kappa(\mathbf{r})$, and diamagnetic ... More