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Breaking of 1RSB in random MAX-NAE-SATApr 18 2019For several models of random constraint satisfaction problems, it was conjectured by physicists and later proved that a sharp satisfiability transition occurs. For random $k$-SAT and related models it happens at clause density $\alpha$ around $2^k$. Just ... More

High Entropy Alloys Mined From Phase DiagramsApr 18 2019High entropy alloys (HEA) show promise as a new type of high-performance structural material. Their vast degrees of freedom provide for extensive opportunities to design alloys with tailored properties. However, the compositional complexities of HEAs ... More

Two localization lengths in the Anderson transition on random graphsApr 18 2019We present a full description of the nonergodic properties of wavefunctions on random graphs without boundary in the localized and critical regimes of the Anderson transition. We find that they are characterized by two localization lengths: the largest ... More

Distribution of velocities in an avalanche, and related quantities: Theory and numerical verificationApr 18 2019We study several probability distributions relevant to the avalanche dynamics of elastic interfaces driven on a random substrate: The distribution of size, duration, lateral extension or area, as well as velocities. Results from the functional renormalization ... More

Radial basis function network using Lambert-Tsallis Wq functionApr 18 2019The present work brings two applications of the Lambert-Tsallis Wq function in radial basis function networks (RBFN). Initially, a RBFN is used to discriminate between entangled and disentangled bipartite of qubit states. The kernel used is based on the ... More

Maximum-energy records in glassy energy landscapesApr 17 2019We study the evolution of the maximum energy $E_\max(t)$ reached between time $0$ and time $t$ in the dynamics of simple models with glassy energy landscapes, in instant quenches from infinite temperature to a target temperature $T$. Through a detailed ... More

Dipolar Bose gas with three-body interactions in weak disorderApr 16 2019We study effects of weak disorder with Gaussian correlation function on a dipolar Bose gas with three-body interactions using the Hartree-Fock-Bogoliubov theory. Corrections due to quantum, thermal and disorder fluctuations to the condensate depletion, ... More

Learning a Gauge Symmetry with Neural NetworksApr 16 2019We explore the capacity of neural networks to detect a symmetry with complex local and non-local patterns: the gauge symmetry $Z_2$. This symmetry is present in physical problems from topological transitions to QCD, and controls the computational hardness ... More

How collective asperity detachments nucleate slip at frictional interfacesApr 16 2019Sliding at a quasi-statically loaded frictional interface occurs via macroscopic slip events, which nucleate locally before propagating as rupture fronts very similar to fracture. We introduce a novel microscopic model of a frictional interface that includes ... More

Universal relaxation dynamics of sphere packings below jammingApr 15 2019We show that non-Brownian suspensions of repulsive spheres below jamming display a slow relaxational dynamics with a characteristic time scale that diverges at jamming. This slow time scale is fully encoded in the structure of the unjammed packing and ... More

Electric Field Response In Breathing PyrochloresApr 15 2019We study the effects of a uniform electric field on the the ground state and excitations of the three-dimensional U(1) spin liquid phase of a breathing pyrochlore lattice, arising due to the coupling between the conventional (Maxwell) electric field and ... More

Anderson Localization on the Bethe Lattice using Cages and the Wegner FlowApr 15 2019Anderson localization on tree-like graphs such as the Bethe lattice, Cayley tree, or random regular graphs has attracted attention due to its apparent mathematical tractability, hypothesized connections to many-body localization, and the possibility of ... More

On non-negative solutions to large systems of random linear equationsApr 15 2019Systems of random linear equations may or may not have solutions with all components being non-negative. The question is, e.g., of relevance when the unknowns are concentrations or population sizes. In the present paper we show that if such systems are ... More

Slow dynamics in many-body localized system with random and quasi-periodic potentialApr 15 2019We investigate charge relaxation in disordered and quasi-periodic quantum-wires of spin-less fermions ($t{-}V$-model) at different inhomogeneity strength $W$ in the localized and nearly-localized regime. Our observable is the time-dependent density correlation ... More

Scrambling in strongly chaotic weakly coupled bipartite systems: Universality beyond the Ehrenfest time-scaleApr 13 2019Out-of-time-order correlators (OTOC), vigorously being explored as a measure of quantum chaos and information scrambling, is studied here in the natural and simplest multi-particle context of bipartite systems. We show that two strongly chaotic and weakly ... More

Experimental neural network enhanced quantum tomographyApr 11 2019Quantum tomography is currently ubiquitous for testing any implementation of a quantum information processing device. Various sophisticated procedures for state and process reconstruction from measured data are well developed and benefit from precise ... More

Tunable Giant Exchange Bias in an Intercalated Transition Metal DichalcogenideApr 11 2019The interplay of symmetry and quenched disorder leads to some of the most fundamentally interesting and technologically important properties of correlated materials. It also poses the most vexing of theoretical challenges. Nowhere is this more apparent ... More

Room temperature spin-ice physics in cadmium cyanideApr 11 2019Spin-ices are frustrated magnets that support a particularly rich variety of emergent physics. Typically, it is the interplay of magnetic dipole interactions, spin anisotropy, and geometric frustration on the pyrochlore lattice that drives spin-ice formation. ... More

Relational flexibility of network elements based on inconsistent community detectionApr 11 2019Community identification of network components enables us to understand the mesoscale clustering structure of networks. A number of algorithms have been developed to determine the most likely community structures in networks. Such a probabilistic or stochastic ... More

Tuning the glass-forming ability of metallic glasses through energetic frustrationApr 10 2019The design of multi-functional BMGs is limited by the lack of a quantitative understanding of the variables that control the glass-forming ability (GFA) of alloys. Both geometric frustration (e.g. differences in atomic radii) and energetic frustration ... More

Phonon localization in binary alloys with diagonal and off-diagonal disorder: A cluster Green's function approachApr 10 2019We report the development and application of a new method for carrying out computational investigations of the effects of mass and force-constant (FC) disorder on phonon spectra. The method is based on the recently developed typical medium dynamical cluster ... More

Hamilton-Jacobi equations for finite-rank matrix inferenceApr 10 2019We compute the large-scale limit of the free energy associated with the problem of inference of a finite-rank matrix. The method follows the principle put forward in arXiv:1811.01432 which consists in identifying a suitable Hamilton-Jacobi equation satisfied ... More

Dynamics of Phase Separated States in the Double Exchange ModelApr 10 2019We present extensive large-scale dynamical simulations of phase-separated states in the double exchange model. These inhomogeneous electronic states that play a crucial role in the colossal magnetoresistance phenomenon are composed of ferromagnetic metallic ... More

Compressed sensing reconstruction using Expectation PropagationApr 10 2019Many interesting problems in fields ranging from telecommunications to computational biology can be formalized in terms of large underdetermined systems of linear equations with additional constraints or regularizers. One of the most studied ones, the ... More

Shaping the Branched Flow of Light through Disordered MediaApr 10 2019Electronic matter waves traveling through the weak and smoothly varying disorder potential of a semi-conductor show branching behavior instead of a smooth spreading of flow. By transferring this phenomenon to optics, we show how the branched flow of light ... More

Eigenvalue and Eigenvector Statistics in Time Series AnalysisApr 10 2019The study of correlated time-series is ubiquitous in statistical analysis, and the matrix decomposition of the cross-correlations between time series is a universal tool to extract the principal patterns of behavior in a wide range of complex systems. ... More

Network depth: identifying median and contours in complex networksApr 10 2019Centrality descriptors are widely used to rank nodes according to specific concept(s) of importance. Despite the large number of centrality measures available nowadays, it is still poorly understood how to identify the node which can be considered as ... More

Energy level dynamics across the many-body localization transitionApr 10 2019The level dynamics across the many body localization transition is examined for XXZ-spin model with a random magnetic field. We compare different scenaria of parameter dependent motion in the system and consider measures such as level velocities, curvatures ... More

Defect-engineered, universal kinematic correlations among superconductivity and Fermi liquid transportApr 09 2019Identifying universal scaling relations between two or more variables in a complex system plays a pivotal role in understanding various phenomena in different branches of science. Examples include the allometric scaling among food webs in biology, the ... More

Mutual Information for Low-Rank Even-Order Symmetric Tensor FactorizationApr 09 2019We consider a statistical model for finite-rank symmetric tensor factorization and prove a single-letter variational expression for its mutual information when the tensor is of even order. The proof uses the adaptive interpolation method, for which rank-one ... More

Predicting synchronous firing of large neural populations from sequential recordingsApr 09 2019A major goal in neuroscience is to understand how populations of neurons code for stimuli or actions. While the number of neurons that can be recorded simultaneously is increasing at a fast pace, in most cases these recordings cannot access a complete ... More

Effective resistance of random percolating networks of stick nanowires : functional dependence on elementary physical parametersApr 08 2019We study by means of Monte-Carlo numerical simulations the resistance of two-dimensional random percolating networks of stick, widthless nanowires. We use the multi-nodal representation (MNR) to model a nanowire network as a graph. We derive numerically ... More

Real-Space Visualization of Quantum Phase Transition by Network TopologyApr 08 2019We demonstrate that with appropriate quantum correlation function, a real-space network model can be constructed to study the phase transitions in quantum systems. For the three-dimensional bosonic system, the single-particle density matrix is adopted ... More

Entanglement in non-equilibrium steady states and many-body localization breakdown through dissipative tunnelingApr 08 2019We model an electric-field or current driven interacting disorder system, coupled to environment at the boundaries, through an effective non-Hermitian Hamiltonian and study the entanglement properties of its eigenstates. In particular, we investigate ... More

Bayesian Neural Networks at Finite TemperatureApr 08 2019We recapitulate the Bayesian formulation of neural network based classifiers and show that, while sampling from the posterior does indeed lead to better generalisation than is obtained by standard optimisation of the cost function, even better performance ... More

The EntOptLayout Cytoscape plug-in for the efficient visualization of major protein complexes in protein-protein interaction and signalling networksApr 08 2019Motivation: Network visualizations of complex biological datasets usually result in 'hairball' images, which do not discriminate network modules. Results: We present the EntOptLayout Cytoscape plug-in based on a recently developed network representation ... More

Flat-band many-body localization in the Creutz ladderApr 06 2019Apr 15 2019Study on a disorder-free many-body localization is reported for the flat-band Creutz ladder, which was recently realized in cold-atoms in an optical lattice. In a non-interacting case, the flat-band structure leads to a Wannier wavefunction localized ... More

Flat-band many-body localization in the Creutz ladderApr 06 2019Study on disorder-free many-body localization is reported for the flat-band Creutz ladder, which was recently realized in cold-atoms in an optical lattice. In non-interacting case, the flat-band structure leads to a Wannier wave function localized on ... More

Functional Geometry of Human Connectome and Robustness of Gender DifferencesApr 06 2019Mapping the brain imaging data to networks, where each node represents a specific area of the brain, has enabled an objective graph-theoretic analysis of human connectome. However, the latent structure on higher-order connections remains unexplored, where ... More

The matrix product approximation for the dynamic cavity methodApr 05 2019Stochastic dynamics of classical degrees of freedom, defined on vertices of locally tree-like graphs, can be studied in the framework of the dynamic cavity method which is exact for tree graphs. Such models correspond for example to spin-glass systems, ... More

Locally self-consistent multiple scattering approach for disordered electronic systemsApr 05 2019We present a new embedding scheme for the locally self-consistent multiple scattering method to study the disordered electron systems. We test this method in the tight-binding basis and apply it on the single band Anderson model. We demonstrate that embedding ... More

Quantum quenches in isolated quantum glasses out of equilibriumApr 05 2019In this work, we address the question of how a closed quantum system thermalises in the presence of a random external potential. By investigating the quench dynamics of the isolated quantum spherical $p$-spin model, a paradigmatic model of a mean-field ... More

The system of correlation kinetic equations and the generalized equivalent circuit for hopping transportApr 05 2019We derive the system of equations that allows to include non-equilibrium correlations of filling numbers into the theory of the hopping transport. The system includes the correlations of arbitrary order in a universal way and can be cut at any place relevant ... More

Shape instability, depinning, and creep motion of magnetic domain walls driven by electrical currentApr 05 2019We explore the dynamics and self-affinity of magnetic domain wall driven by electrical current, in a ferromagnetic (Ga,Mn)(As,P) thin film with perpendicular magnetic anisotropy. We show that common universal behaviors corresponding to the so-called quenched ... More

Conductance distribution in 1D systems: dependence on the Fermi level and the ideal leadsApr 05 2019The correct definition of the conductance of finite systems implies a connection to the system of the massive ideal leads. Influence of the latter on the properties of the system appears to be rather essential and is studied below on the simplest example ... More

Overlap matrix concentration in optimal Bayesian inferenceApr 04 2019We consider models of Bayesian inference of signals with vectorial components of finite dimensionality. We show that, under a proper perturbation, these models are replica symmetric in the sense that the overlap matrix concentrates. The overlap matrix ... More

From ergodic to non-ergodic chaos in Rosenzweig-Porter modelApr 04 2019The Rosenzweig-Porter model is a one-parameter family of random matrices with three different phases: ergodic, extended non-ergodic and localized. We characterize numerically each of these phases and the transitions between them. We show that the distribution ... More

Neural network agent playing spin Hamiltonian games on a quantum computerApr 04 2019We develop an autonomous agent intended for interacting with dynamic environment that is a noisy quantum computer and to approximate a ground state of a spin Hamiltonian. During reinforcement learning on quantum simulator including a noise generator our ... More

Monte Carlo algorithms are very effective in finding the largest independent set in sparse random graphsApr 03 2019The effectiveness of stochastic algorithms based on Monte Carlo dynamics in solving hard optimization problems is mostly unknown. Beyond the basic statement that at a dynamical phase transition the ergodicity breaks and a Monte Carlo dynamics cannot sample ... More

Transport and chaos in lattice Sachdev-Ye-Kitaev modelsApr 03 2019We compute the transport and chaos properties of lattices of quantum Sachdev-Ye-Kitaev islands coupled by single fermion hopping, and with the islands coupled to a large number of local, low energy phonons. We find two distinct regimes of linear-in-temperature ... More

Transport of light through a dense ensemble of cold atoms in a static electric fieldApr 03 2019We demonstrate that the transport of coherent quasiresonant light through a dense cloud of immobile two-level atoms subjected to a static external electric field can be described by a simple diffusion process up to atomic number densities of the order ... More

Large deviations for the largest eigenvalues and eigenvectors of spiked random matricesApr 03 2019We consider matrices formed by a random $N\times N$ matrix drawn from the Gaussian Orthogonal Ensemble (or Gaussian Unitary Ensemble) plus a rank-one perturbation of strength $\theta$, and focus on the largest eigenvalue, $x$, and the component, $u$, ... More

Intermediate deviation regime for the full eigenvalue statistics in the complex Ginibre ensembleApr 03 2019We study the Ginibre ensemble of $N \times N$ complex random matrices and compute exactly, for any finite $N$, the full distribution as well as all the cumulants of the number $N_r$ of eigenvalues within a disk of radius $r$ centered at the origin. In ... More

The Fractal X-Ray Edge ProblemApr 02 2019We study the Anderson orthogonality catastrophe, and the corresponding X-ray edge problem, in systems that are at a localization transition driven by a deterministic quasiperiodic potential. Specifically, we address how the ground state of the Aubry-Andre ... More

Avalanches in an excitable networkApr 02 2019We study propagation of avalanches in a certain excitable network. The model is a particular case of the one introduced in [23], and is mathematically equivalent to an endemic variation of the Reed-Frost epidemic model introduced in [27]. Two types of ... More

Benchmarking the nonperturbative functional renormalization group approach on the random elastic manifold model in and out of equilibriumApr 01 2019Criticality in the class of disordered systems comprising the random-field Ising model (RFIM) and elastic manifolds in a random environment is controlled by zero-temperature fixed points that must be treated through a functional renormalization group. ... More

State-dependent effective interactions in oscillator networks through coupling functions with dead zonesApr 01 2019The dynamics of networks of interacting dynamical systems depend on the nature of the coupling between individual units. We explore networks of oscillatory units with coupling functions that have "dead zones", that is, the coupling functions are zero ... More

The phase diagram of a two-dimensional dirty tilted Dirac semimetalApr 01 2019We investigate the effects of quenched disorder on a non-interacting tilted Dirac semimetal in two dimensions. Depending on the magnitude of the tilting parameter, the system can have either Fermi points (type-I) or Fermi lines (type-II). In general, ... More

Self-starting nonlinear mode-locking in random lasersMar 31 2019In ultra-fast multi-mode lasers, mode-locking is implemented by means of ad hoc devices, like saturable absorbers or modulators, allowing for very short pulses. This comes about because of nonlinear interactions induced among modes at different, well ... More

Emergence of magnetism in bulk amorphous palladiumMar 29 2019Magnetism is a macro-manifestation of quantum phenomena due mainly to the spin and the orbital momentum of the electrons. In materials science magnetism can exhibit short- and long-range behavior giving rise to different properties in the bulk: paramagnetism, ... More

PAC Learnability of nuclear massesMar 29 2019After more than 80 years from the seminal work of Weizs\"acker and the liquid drop model of the atomic nucleus, theoretical errors over nuclear masses ($\sim$ MeV) are order of magnitudes larger than experimental ones ($\lesssim$ keV). Predicting the ... More

PAC Learnability of nuclear massesMar 29 2019Apr 09 2019After more than 80 years from the seminal work of Weizs\"acker and the liquid drop model of the atomic nucleus, theoretical errors over nuclear masses ($\sim$ MeV) are order of magnitudes larger than experimental ones ($\lesssim$ keV). Predicting the ... More

NetKet: A Machine Learning Toolkit for Many-Body Quantum SystemsMar 29 2019We introduce NetKet, a comprehensive open source framework for the study of many-body quantum systems using machine learning techniques. The framework is built around a general and flexible implementation of neural-network quantum states, which are used ... More

Critical excitation/inhibition balance in dense neural networksMar 29 2019The "edge of chaos" phase transition in artificial neural networks is of renewed interest in the light of recent evidence for criticality in brain dynamics. Statistical mechanics traditionally studied this transition with connectivity $k$ as control parameter ... More

Out-of-equilibrium dynamical equations of infinite-dimensional particle systems. II. The anisotropic case under shear strainMar 29 2019As an extension of the isotropic setting presented in the companion paper [J. Phys. A 52, 144002 (2019)], we consider the Langevin dynamics of a many-body system of pairwise interacting particles in $d$ dimensions, submitted to an external shear strain. ... More

Counting the learnable functions of structured dataMar 28 2019Cover's function counting theorem is a milestone in the theory of artificial neural networks. It provides an answer to the fundamental question of determining how many binary assignments (dichotomies) of $p$ points in $n$ dimensions can be linearly realized. ... More

Unitary circuits of finite depth and infinite width from quantum channelsMar 27 2019We introduce an approach to compute reduced density matrices for local quantum unitary circuits of finite depth and infinite width. Suppose the time-evolved state under the circuit is a matrix-product state with bond dimension $D$; then the reduced density ... More

Materials Physics and Spin GlassesMar 27 2019Comparisons and analogies are drawn between materials ferroic glasses and conventional spin glasses, in terms of both experiment and theoretical modelling, with inter-system conceptual transfers leading to suggestions of further issues to investigate. ... More

Criticality Across the Energy Spectrum from Random, Artificial Gravitational Lensing in Two-Dimensional Dirac MaterialsMar 26 2019We numerically study weak, random, spatial velocity modulation in two-dimensional (2D) massless Dirac materials. The fermions propagate as though lensing through a static, randomly gravitating spacetime. Although low-energy states are unaffected, we find ... More

Spike-based primitives for graph algorithmsMar 25 2019In this paper we consider graph algorithms and graphical analysis as a new application for neuromorphic computing platforms. We demonstrate how the nonlinear dynamics of spiking neurons can be used to implement low-level graph operations. Our results ... More

Machine learning and the physical sciencesMar 25 2019Machine learning encompasses a broad range of algorithms and modeling tools used for a vast array of data processing tasks, which has entered most scientific disciplines in recent years. We review in a selective way the recent research on the interface ... More

Active Learning of Spin Network ModelsMar 25 2019Complex networks can be modeled as a probabilistic graphical model, where the interactions between binary variables, "spins", on nodes are described by a coupling matrix that is inferred from observations. The inverse statistical problem of finding direct ... More

Self-consistent-field ensembles of disordered Hamiltonians: Efficient solver and application to superconducting filmsMar 25 2019Our general interest is in self-consistent-field (scf) theories of disordered fermions. They generate physically relevant sub-ensembles (``scf-ensembles'') within a given Altland-Zirnbauer class. We are motivated to investigate such ensembles (i) by the ... More

Noise Amplification in Frictional Systems: Oscillatory InstabilitiesMar 25 2019It was discovered recently that frictional granular materials can exhibit an important mechanism for instabilities, i.e the appearance of pairs of complex eigenvalues in their stability matrix. The consequence is an oscillatory exponential growth of small ... More

Effect of resonance impurities on Drude peak broadening in uniaxially strained grapheneMar 25 2019A recent experimental study of the far-infrared transmission spectrum of monolayer graphene has shown that the Drude peak width increases by more than 10% per 1% of applied mechanical strain, while the Drude weight and the Fermi energy remain unchanged. ... More

Active topolectrical circuitsMar 25 2019We develop design principles for active topolectrical circuits (ATCs) by exploiting a mathematical correspondence between active mechanical metamaterials and nonlinear electronic circuits. Building on a generic nonlinear oscillator representation of active ... More

Top Eigenpair Statistics for Weighted Sparse GraphsMar 23 2019We develop a formalism to compute the statistics of the top eigenpair of weighted sparse graphs with finite mean connectivity and bounded maximal degree. Framing the problem in terms of optimisation of a quadratic form on the sphere and introducing a ... More

Principal Component Analysis of collective flow in Relativistic Heavy-Ion CollisionsMar 23 2019In this paper, we implement Principal Component Analysis (PCA) to study the single particle distributions generated from thousands of {\tt VISH2+1} hydrodynamic simulations with an aim to explore if a machine could directly discover flow from the huge ... More

Conventional superconductivity in quasicrystalsMar 22 2019Motivated by a recent experimental observation of superconductivity in the Al-Zn-Mg quasicrystal, we study the low-temperature behavior of electrons moving in the quasiperiodic potential of the Ammann-Beenker tiling in the presence of a local attraction. ... More

Regularization dependence of the OTOC. Which Lyapunov spectrum is the physical one?Mar 22 2019We study the contour dependence of the out-of-time-ordered correlation function (OTOC) both in weakly coupled field theory and in the Sachdev-Ye-Kitaev (SYK) model. We show that its value, including its Lyapunov spectrum, depends sensitively on the shape ... More

Thermalization of isotopically disordered chainMar 22 2019Recently, the equipartition hypothesis in statistical physics has been verified in the case of one-dimensional lattices based on the wave turbulence theory. It has been shown that thermalization should occur for arbitrarily small nonlinearity. Particularly, ... More

Structure and Morphology of Crystalline Nuclei arising in a Crystallizing Liquid Metallic FilmMar 22 2019Control of the crystallization process at the microscopic level makes it possible to generate the nanocrystalline samples with the desired structural and morphological properties, that is of great importance for modern industry. In the present work, we ... More

Fast learning synapses with molecular spin valves via selective magnetic potentiationMar 20 2019Mar 22 2019We studied LSMO/Alq3/AlOx/Co molecular spin valves in view of their use as synapses in neuromorphic computing. In neuromorphic computing, the learning ability is embodied in specific changes of the synaptic weight. In this perspective, the relevant parameter ... More

Fast learning synapses with molecular spin valves via selective magnetic potentiationMar 20 2019We studied LSMO/Alq3/AlOx/Co molecular spin valves in view of their use as synapses in neuromorphic computing. In neuromorphic computing, the learning ability is embodied in specific changes of the synaptic weight. In this perspective, the relevant parameter ... More

Exact Distributions of Currents and Frenesy for Markov BridgesMar 19 2019We consider discrete-time Markov bridges, chains whose initial and final states coincide. We derive an exact finite-time formula for the full probability distribution of additive functionals of trajectories. We apply our theory to time-integrated currents ... More

Few-shot machine learning in the three-dimensional Ising modelMar 19 2019We investigate theoretically the phase transition in three dimensional cubic Ising model utilizing state-of-the-art machine learning algorithms. Supervised machine learning models show high accuracies (~99\%) in phase classification and very small relative ... More

Few-shot machine learning in the three-dimensional Ising modelMar 19 2019Mar 20 2019We investigate theoretically the phase transition in three dimensional cubic Ising model utilizing state-of-the-art machine learning algorithms. Supervised machine learning models show high accuracies (~99\%) in phase classification and very small relative ... More

Dynamical Decoupling of Quantum Two-Level Systems by Coherent Multiple Landau-Zener TransitionsMar 19 2019Increasing and stabilizing the coherence of superconducting quantum circuits and resonators is of utmost importance for various technologies ranging from quantum information processors to highly sensitive detectors of low-temperature radiation in astrophysics. ... More

Critical behavior at the localization transition on random regular graphsMar 19 2019Mar 26 2019We study numerically the critical behavior at the localization transition in the Anderson model on infinite Bethe lattice and on random regular graphs. The focus is on the case of coordination number $m+1 = 3$, with a box distribution of disorder and ... More

Critical behavior at the localization transition on random regular graphsMar 19 2019We study numerically the critical behavior at the localization transition in the Anderson model on infinite Bethe lattice and on random regular graphs. The focus is on the case of coordination number $m+1 = 3$, with a box distribution of disorder and ... More

Do tensor renormalization group methods work for frustrated spin systems?Mar 18 2019No. To illustrate that tensor renormalization group methods are poorly suited for frustrated magnetic systems, we study the thermodynamic properties of the two-dimensional Edwards-Anderson Ising spin-glass model on a square lattice. We show that the limited ... More

Fair sampling of ground-state configurations of binary optimization problemsMar 18 2019Although many efficient heuristics have been developed to solve binary optimization problems, these typically produce correlated solutions for degenerate problems. Most notably, transverse-field quantum annealing - the heuristic employed in current commercially-available ... More

On-line learning dynamics of ReLU neural networks using statistical physics techniquesMar 18 2019We introduce exact macroscopic on-line learning dynamics of two-layer neural networks with ReLU units in the form of a system of differential equations, using techniques borrowed from statistical physics. For the first experiments, numerical solutions ... More

Can many-body localization persist in the presence of long-range interactions or long-range hopping?Mar 18 2019Mar 19 2019We study many-body localization (MBL) in a one-dimensional system of spinless fermions with a deterministic aperiodic potential in the presence of long-range interactions or long-range hopping. Based on perturbative arguments there is a common belief ... More

Many-body localization in continuum systems: two-dimensional bosonsMar 18 2019We demonstrate that many-body localization of two-dimensional weakly interacting bosons in disorder remains stable in the thermodynamic limit at sufficiently low temperatures. Highly energetic particles destroy the localized state only above a critical ... More

Bath-induced decay of Stark many-body localizationMar 18 2019We investigate the relaxation dynamics of an interacting Stark-localized system coupled to a dephasing bath, and compare its behavior to the conventional disorder-induced many body localized system. Specifically, we study the dynamics of population imbalance ... More

Prototype-based classifiers in the presence of concept drift: A modelling frameworkMar 18 2019We present a modelling framework for the investigation of prototype-based classifiers in non-stationary environments. Specifically, we study Learning Vector Quantization (LVQ) systems trained from a stream of high-dimensional, clustered data.We consider ... More

Manifolds pinned by a high-dimensional random landscape: Hessian at the global energy minimumMar 17 2019We consider an elastic manifold of internal dimension $d$ and length $L$ pinned in a $N$ dimensional random potential and confined by an additional parabolic potential of curvature $\mu$. We are interested in the mean spectral density $\rho(\lambda)$ ... More

Learning to find order in disorderMar 16 2019We introduce the use of neural networks as classifiers on classical disordered systems with no spatial ordering. In this study, we implement a convolutional neural network trained to identify the spin-glass state in the three-dimensional Edwards-Anderson ... More

Generalization from correlated sets of patterns in the perceptronMar 15 2019Generalization is a central aspect of learning theory. Here, we propose a framework that explores an auxiliary task-dependent notion of generalization, and attempts to quantitatively answer the following question: given two sets of patterns with a given ... More