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On mean-field theories of dynamics in supercooled liquidsJun 13 2019We develop a hybrid numerical approach to extract the exact memory function K(t) of a tagged particle in three-dimensional glass-forming liquids. We compare the behavior of the exact memory kernel to two mean-field approaches, namely the standard mode-coupling ... More

Hilbert Space Fragmentation and Many-Body LocalizationJun 13 2019Investigating many-body localization (MBL) using exact numerical methods is limited by the exponential growth of the Hilbert space. However, localized eigenstates display multifractality and only extend over a vanishing fraction of the Hilbert space. ... More

Information capacity of a network of spiking neuronsJun 13 2019We study a model of spiking neurons, with recurrent connections that result from learning a set of spatio-temporal patterns with a spike-timing dependent plasticity rule and a global inhibition. We investigate the ability of the network to store and selectively ... More

Modeling functional resting-state brain networks through neural message passing on the human connectomeJun 12 2019Understanding the relationship between the structure and function of the human brain is one of the most important open questions in Neurosciences. In particular, Resting State Networks (RSN) and more specifically the Default Mode Network (DMN) of the ... More

Hysteresis, neural avalanches and critical behaviour near a first-order transition of a spiking neural networkJun 12 2019Many experimental results, both in-vivo and in-vitro, support the idea that the brain cortex operates near a critical point, and at the same time works as a reservoir of precise spatio-temporal patterns. However the mechanism at the basis of these observations ... More

Cooper pairing of incoherent electrons: an electron-phonon version of the Sachdev-Ye-Kitaev modelJun 11 2019We introduce and solve a model of interacting electrons and phonons that is a natural generalization of the Sachdev-Ye-Kitaev-model and that becomes superconducting at low temperatures. In the normal state two Non-Fermi liquid fixed points with distinct ... More

Off-equilibrium computation of the dynamic critical exponent of the three-dimensional Heisenberg modelJun 11 2019Working in the out of equilibrium regime and using state-of-the-art techniques we have computed the dynamic critical exponent of the three dimensional Heisenberg model. We have run very large lattices ($L\le 250$) in CPUs and GPUs obtaining $z=2.041(16)$ ... More

New loop expansion for the Random Magnetic Field Ising Ferromagnets at zero temperatureJun 11 2019We apply to the Random Field Ising Model at zero temperature (T= 0) the perturbative loop expansion around the Bethe solution. A comparison with the standard epsilon-expansion is made, highlighting the key differences that make the new expansion much ... More

The shape of shortest paths in random spatial networksJun 10 2019In the classic model of first passage percolation, for pairs of vertices separated by a Euclidean distance $L$, geodesics exhibit deviations from their mean length $L$ that are of order $L^\chi$, while the transversal fluctuations, known as wandering, ... More

Topological Anderson Insulator in electric circuitsJun 10 2019Although topological Anderson insulator has been predicted in 2009, the lasting investigations of this disorder established nontrivial state results in only two experimental observations in cold atoms [Science, {\bf 362 },929 (2018)] and in photonic crystals ... More

Active glassesJun 09 2019Active glassy matter has recently emerged as a novel class of non-equilibrium soft matter, combining energy-driven, active particle movement with dense and disordered glass-like behavior. Here we review the state-of-the-art in this field from an experimental, ... More

Logarithmic entanglement growth in two-dimensional disordered fermionic systemsJun 08 2019We investigate the growth of the entanglement entropy $S_{\textrm{ent}}$ following global quenches in two-dimensional free fermion models with potential and bond disorder. For the potential disorder case we show that an intermediate weak localization ... More

Theory of a Planckian metalJun 07 2019We present a lattice model of fermions with $N$ flavors and random interactions which describes a Planckian metal at low temperatures, $T \rightarrow 0$, in the solvable limit of large $N$. We begin with quasiparticles around a Fermi surface with effective ... More

The Normalization Method for Alleviating Pathological Sharpness in Wide Neural NetworksJun 07 2019Normalization methods play an important role in enhancing the performance of deep learning while their theoretical understandings have been limited. To theoretically elucidate the effectiveness of normalization, we quantify the geometry of the parameter ... More

Random sequential adsorption of Platonic and Archimedean solidsJun 05 2019The aim of the study presented here was the analysis of packings generated according to random sequential adsorption protocol consisting of identical Platonic and Archimedean solids. The computer simulations performed showed, that the highest saturated ... More

Memories of initial states and density imbalance in dynamics of interacting disordered systemsJun 05 2019We study the dynamics of one and two dimensional disordered lattice bosons/fermions initialized to a Fock state with a pattern of $1$ and $0$ particles on $A$ and ${\bar A}$ sites. For non-interacting systems we establish a universal relation between ... More

Dimensional crossover in the aging dynamics of spin glasses in a film geometryJun 04 2019Motivated by recent experiments of exceptional accuracy, we study numerically the spin-glass dynamics in a film geometry. We cover all the relevant time regimes, from picoseconds to equilibrium, at temperatures at and below the 3D critical point. The ... More

Self-planting: digging holes in rough landscapesJun 04 2019Motivated by a potential application in economics, we investigate a simple dynamical scheme to produce planted solutions in optimization problems with continuous variables. We consider the perceptron model as a prototypical model. Starting from random ... More

The $Λ$-invariant and topological pathways to influence sub-micron strength and crystal plasticityJun 04 2019In small volumes, sample dimensions are known to strongly influence mechanical behavior, especially strength and crystal plasticity. This correlation fades away at the so-called mesoscale, loosely defined at several micrometers in both experiments and ... More

Attractive vs. truncated repulsive supercooled liquids : dynamics is encoded in the pair correlation functionJun 03 2019We compare glassy dynamics in two liquids that differ in the form of their interaction potentials. Both systems have the same repulsive interactions but one has also an attractive part in the potential. These two systems exhibit very different dynamics ... More

Strong and Weak Many-Body LocalizationsJun 03 2019Many aspects of many-body localization (MBL), including dynamic classification of MBL phases, remain elusive. Here, by performing real-space renormalization group (RSRG) analysis we propose that there are two distinct types of MBL phases: "strong MBL" ... More

Current fluctuations in a stochastic system of classical particles with next-nearest-neighbor interactionsJun 03 2019A 1D totally asymmetric exclusion process consisting of classical particles with next-nearest-neighbor interactions has been considered on a discrete lattice with a ring geometry. Using large deviation techniques, we have investigated fluctuations of ... More

How does active participation effect consensus: Adaptive network model of opinion dynamics and influence maximizing rewiringJun 03 2019In this paper we study the impact of active participation -- or deliberately seeking out other agents with an aim to convince them -- on the dynamics of consensus formation. For this purpose, we propose an adaptive network model in which two processes ... More

State-dependent effects of electrical stimulation on populations of excitatory and inhibitory neuronsJun 03 2019Electrical stimulation of neural populations is a key tool for understanding neural dynamics and developing treatments. To investigate the effects of external stimulation on a basic cortical motif, we analyse the dynamical properties of an efficient mean-field ... More

An XMCD study of magnetism and valence state in iron-substituted strontium titanateJun 03 2019Room temperature ferromagnetism was characterized for thin films of SrTi$_{0.6}$Fe$_{0.4}$O$_{3-{\delta}}$ grown by pulsed laser deposition on SrTiO$_{3}$ and Si substrates under different oxygen pressures and after annealing under oxygen and vacuum conditions. ... More

Neural Gutzwiller-projected variational wave functionsJun 02 2019Variational wave functions have enabled exceptional scientific breakthroughs related to the understanding of novel phases of matter. Examples include the Bardeen-Cooper-Schrieffer theory of superconductivity, the description of the fractional quantum ... More

Analytical theory of enhanced logarithmic Rayleigh scattering in amorphous solidsJun 02 2019The damping or attenuation coefficient of sound waves in solids due to impurities scales with the wavevector to the fourth power, also known as Rayleigh scattering. In amorphous solids, Rayleigh scattering may be enhanced by a logarithmic factor although ... More

The Wishart planted ensemble: A tunably-rugged pairwise Ising model with a first-order phase transitionJun 01 2019We propose the Wishart planted ensemble, a class of zero-field Ising models with tunable algorithmic hardness and specifiable (or planted) ground state. The problem class arises from a simple procedure for generating a family of random integer programming ... More

A mean-field limit for certain deep neural networksJun 01 2019Understanding deep neural networks (DNNs) is a key challenge in the theory of machine learning, with potential applications to the many fields where DNNs have been successfully used. This article presents a scaling limit for a DNN being trained by stochastic ... More

Random sequential adsorption of particles with tetrahedral symmetryMay 31 2019We study random sequential adsorption (RSA) of a class of solids that can be obtained from a cube by specific cutting of its vertices, in order to find out how the transition from tetrahedral to octahedral symmetry affects the densities of the resulting ... More

Disorder-immune photonics based on Mie-resonant dielectric metamaterialsMay 31 2019Modern nanotechnology provides tools for realizing unique photonic structures with the feature size comparable or even smaller than the wavelength of light. However, the fabrication imperfections at the nanoscale inevitably introduce disorder that affects ... More

Low-frequency excitations and their localization properties in glassesMay 31 2019Besides the dynamical slowing down signaled by an enormous increase of the viscosity approaching the glass transition, structural glasses show also interesting anomalous thermodynamic features at low temperatures that hint peculiar deviations from Debye's ... More

Study of counterintuitive transport properties in the Aubry-André-Harper model via entanglement entropy and persistent currentMay 30 2019The single particle eigenstates of the Aubry-Andr\'e-Harper model are known to show a delocalization-localization transition at a finite strength of the quasi-periodic disorder. In this work, we point out that an intimate relationship exists between the ... More

Discrete Time CrystalsMay 30 2019Experimental advances have allowed for the exploration of nearly isolated quantum many-body systems whose coupling to an external bath is very weak. A particularly interesting class of such systems is those which do not thermalize under their own isolated ... More

Dimensional crossover of the integer quantum Hall plateau transition and disordered topological pumpingMay 30 2019We study the quantum Hall plateau transition on rectangular tori. As the aspect ratio of the torus is increased, the two-dimensional critical behavior, characterized by a subthermodynamic number of topological states in a vanishing energy window around ... More

Disorder and interaction in chiral chains: Majoranas vs complex fermionsMay 29 2019We study the low-energy physics of a chain of Majorana fermions in the presence of interaction and disorder, emphasizing the difference between Majoranas and conventional (complex) fermions. While in the non-interacting limit both models are equivalent ... More

Enhancement in performance of quantum battery by ordered and disordered interactionsMay 29 2019Considering ground state of a quantum spin model as the initial state of the quantum battery, we show that both ordered and disordered interaction strengths play a crucial role to increase the extraction of power from it. In particular, we demonstrate ... More

How to iron out rough landscapes and get optimal performances: Replicated Gradient Descent and its application to tensor PCAMay 29 2019In many high-dimensional estimation problems the main task consists in minimizing a cost function, which is often strongly non-convex when scanned in the space of parameters to be estimated. A standard solution to flatten the corresponding rough landscape ... More

Quantum entropic self-localization with ultracold fermionsMay 28 2019We study a driven, spin-orbit coupled fermionic system in a lattice at the resonant regime where the drive frequency equals the Hubbard repulsion, for which non-trivial constrained dynamics emerge at fast timescales. An effective density-dependent tunneling ... More

Zero mode protection at particle-hole symmetry: a geometric interpretationMay 28 2019The properties of zero modes in particle-hole symmetric systems are analyzed in the presence of strong random scattering by a disordered environment. The study is based on the calculation of the time-averaged density distribution on a lattice. In particular, ... More

Disorder-induced Chern insulator in Harper-Hofstadter-Hatsugai modelMay 28 2019In this paper we study effects of disorder for topological Chern insulating phase in the Harper-Hofstadter-Hatsugai model. The model with half flux has bulk-band gap and thus exhibit non-trivial topological phase. We consider two typical types of disorder: ... More

Collective-variable selection and generative Hopfield-Potts models for protein-sequence familiesMay 28 2019Statistical models for families of evolutionary related proteins have recently gained interest: in particular pairwise Potts models, as those inferred by the Direct-Coupling Analysis, have been able to extract information about the three-dimensional structure ... More

Optimized White Reflectance in Photonic Network StructuresMay 28 2019Three-dimensional disordered networks are receiving increasing attention as versatile architectures for highly scattering materials. However, due to their complex morphology, little is still known about the interplay between their structural and optical ... More

Controlling a complex system near its critical point via temporal correlationsMay 28 2019A wide variety of complex systems exhibit large fluctuations both in space and time that often can be attributed to the presence of some kind of critical phenomena. Under such critical scenario it is well known that the properties of the correlation functions ... More

Large-scale photonic Ising machine by spatial light modulationMay 28 2019Quantum and classical physics can be used for mathematical computations that are hard to tackle by conventional electronics. Very recently, optical Ising machines have been demonstrated for computing the minima of spin Hamiltonians, paving the way to ... More

Emergent Quasi-Spin Anisotropy in Highly Frustrated Pseudobrookite $Fe_2TiO_5$May 27 2019Anisotropy in spin space originates from the combined effects of orbital occupation and spin-orbit coupling. The highly frustrated and disordered pseudobrookite $Fe_2TiO_5$, demonstrates purely Ising-like spin glass freezing at $T_f$ = 55K, despite its ... More

Localization and interactions in topological and non-topological bands in two dimensionsMay 27 2019May 29 2019A two-dimensional electron gas in a high magnetic field displays macroscopically degenerate Landau levels, which can be split into Hofstadter subbands by means of a weak periodic potential. By carefully engineering such a potential, one can precisely ... More

Localization and interactions in topological and non-topological bands in two dimensionsMay 27 2019A two-dimensional electron gas in a high magnetic field displays macroscopically degenerate Landau levels, which can be split into Hofstadter subbands by means of a weak periodic potential. By carefully engineering such a potential, one can precisely ... More

Topological chiral modes in random scattering networksMay 27 2019Using graph theory, we show the existence of interface chiral modes in random oriented scattering networks and discuss their topological nature. For particular regular networks (e.g. L-lattice, Kagome and triangular networks), an explicit mapping with ... More

Proximity Effect in Superconducting Heterostructures with Strong Spin-Orbit Coupling and Spin SplittingMay 27 2019It has been shown that singlet Cooper pairs can be converted into triplet ones and diffuse into a ferromagnet over a long distance in a phenomenon known as the long-range proximity effect (LRPE). This happens in materials with inhomogeneous magnetism ... More

Neural-network Quantum State of Transverse-field Ising ModelMay 27 2019Along the way initiated by Carleo and Troyer [1], we construct the neural-network quantum state of transverse-field Ising model(TFIM) by an unsupervised machine learning method. Such a wave function is a map from the spin-configuration space to the complex ... More

Interpretable deep Gaussian processesMay 27 2019We propose interpretable deep Gaussian Processes (GPs) that combine the expressiveness of deep Neural Networks (NNs) with quantified uncertainty of deep GPs. Our approach is based on approximating deep GP as a GP, which allows explicit, analytic forms ... More

Asymptotic learning curves of kernel methods: empirical data v.s. Teacher-Student paradigmMay 26 2019Jun 06 2019How many training data are needed to learn a supervised task? It is often observed that the generalization error decreases as $n^{-\beta}$ where $n$ is the number of training examples and $\beta$ an exponent that depends on both data and algorithm. In ... More

Deep Learning-Enhanced Variational Monte Carlo Method for Quantum Many-Body PhysicsMay 26 2019Artificial neural networks have been successfully incorporated into variational Monte Carlo method (VMC) to study quantum many-body systems. However, there have been few systematic studies of exploring quantum many-body physics using deep neural networks ... More

Description of spreading dynamics by microscopic network models and macroscopic branching processes can differ due to coalescenceMay 24 2019Spreading processes are conventionally monitored on a macroscopic level by counting the number of incidences over time. The spreading process can then be modeled either on the microscopic level, assuming an underlying interaction network, or directly ... More

Tailored ensembles of neural networks optimize sensitivity to stimulus statisticsMay 24 2019The dynamic range of stimulus processing in living organisms is much larger than a single neural network can explain. For a generic, tunable spiking network we derive that while the dynamic range is maximal at criticality, the interval of discriminable ... More

Sound damping in glasses: interplay between anharmonicities and elastic heterogeneitiesMay 24 2019Some facets of the way sound waves travel through glasses are still unclear. Recent works have shown that in the low temperature, harmonic limit a crucial role in controlling the sound damping is played by local elastic heterogeneity. Sound waves propagation ... More

Stabilization of direct numerical simulation for finite truncations of circular cumulant expansionsMay 24 2019We study a numerical instability of direct simulations with truncated equation chains for the "circular cumulant" representation and two approaches to its suppression. The approaches are tested for a chimera-bearing hierarchical population of coupled ... More

Real-Space Renormalization for disordered systems at the level of Large DeviationsMay 23 2019The real-space renormalization procedures on hierarchical lattices have been much studied for many disordered systems in the past at the level of their typical fluctuations. In the present paper, the goal is to analyze instead the renormalization flows ... More

Replicated Vector Approximate Message Passing For Resampling ProblemMay 23 2019Resampling techniques are widely used in statistical inference and ensemble learning, in which estimators' statistical properties are essential. However, existing methods are computationally demanding, because repetitions of estimation/learning via numerical ... More

Symmetry-protected localized states at defects in non-Hermitian systemsMay 22 2019Understanding how local potentials affect system eigenmodes is crucial for experimental studies of nontrivial bulk topology. Recent studies have discovered many exotic and highly non-trivial topological states in non-Hermitian systems. As such, it would ... More

Networks and Hierarchies: How Amorphous Materials Learn to RememberMay 22 2019We show how amorphous solids such as colloidal glasses and granular materials can remember complex shear deformation histories. The slow deformation of these systems is described through a sequence of discrete plastic rearrangements which we map onto ... More

Renormalization group for link percolation on planar hyperbolic manifoldsMay 21 2019Network geometry is currently a topic of growing scientific interest as it opens the possibility to explore and interpret the interplay between structure and dynamics of complex networks using geometrical arguments. However the field is still in its infancy. ... More

Elastic interfaces on disordered substrates: From mean-field depinning to yieldingMay 21 2019We consider a model of an elastic manifold driven on a disordered energy landscape, with generalized long range elasticity. Varying the form of the elastic kernel by progressively allowing for the existence of zero-modes, the model interpolates smoothly ... More

Fluctuations in the random-link matching problemMay 21 2019Using the replica approach and the cavity method, we study the fluctuations of the optimal cost in the random-link matching problem. By means of replica arguments, we derive the exact expression of its variance. Moreover, we study the large deviation ... More

The realizable solutions of the TAP equationsMay 21 2019We show that the only solutions of the TAP equations for the Sherrington-Kirkpatrick model of Ising spin glasses which can be found by iteration are those whose free energy lies on the border between replica symmetric and broken replica symmetric states, ... More

Non-crossing Brownian paths and Dyson Brownian motion under a moving boundaryMay 20 2019We compute analytically the probability $S(t)$ that a set of $N$ Brownian paths do not cross each other and stay below a moving boundary $g(\tau)= W \sqrt{\tau}$ up to time $t$. We show that for large $t$ it decays as a power law $S(t) \sim t^{- \beta(N,W)}$. ... More

Persistent Threshold Dynamics with Recovery in Complex NetworksMay 20 2019Threshold rules of spreading in binary-state networks lead to cascades. We study persistent cascade-recovery dynamics on quasi-robust networks, i.e., networks which are robust against small trigger but may collapse for larger one. It is observed that ... More

Moire Localization in Two Dimensional Quasi-Periodic SystemsMay 20 2019We discuss a two-dimensional system under the perturbation of a Moire potential, which takes the same geometry and lattice constant as the underlying lattices but mismatches up to relative rotation. Such a self-dual model belongs to the orthogonal class ... More

Reservoir Computing on Spin-Torque Oscillator ArrayMay 20 2019We numerically study reservoir computing on a spin-torque oscillator (STO) array, describing magnetization dynamics of the STO array by a nonlinear oscillator model. The STOs exhibit synchronized oscillation due to coupling by magnetic dipolar fields. ... More

Multifractality of the kicked rotor at the critical point of the Anderson transitionMay 20 2019We show that quantum wavepackets exhibit a sharp macroscopic peak as they spread in the vicinity of the critical point of the Anderson transition. The peak gives a direct access to the mutifractal properties of the wavefunctions and specifically to the ... More

Shaping the learning landscape in neural networks around wide flat minimaMay 20 2019Learning in Deep Neural Networks (DNN) takes place by minimizing a non-convex high-dimensional loss function, typically by a stochastic gradient descent (SGD) strategy. The learning process is observed to be able to find good minimizers without getting ... More

Shaping the learning landscape in neural networks around wide flat minimaMay 20 2019May 21 2019Learning in Deep Neural Networks (DNN) takes place by minimizing a non-convex high-dimensional loss function, typically by a stochastic gradient descent (SGD) strategy. The learning process is observed to be able to find good minimizers without getting ... More

Theoretical model for the structural relaxation time in co-amorphous drugsMay 17 2019We propose a simple approach to investigate the structural relaxation time and glass transition of amorphous drugs. Amorphous materials are modeled as a set of equal sized hard spheres. The structural relaxation time over many decades in hard sphere fluids ... More

Plastic-crystalline solid-state electrolytes: Ionic conductivity and orientational dynamics in nitrile mixturesMay 16 2019Many plastic crystals, molecular solids with long-range, center-of-mass crystalline order but dynamic disorder of the molecular orientations, are known to exhibit exceptionally high ionic conductivity. This makes them promising candidates for applications ... More

Crack formation and self-closing in shrinkable, granular packingsMay 15 2019Many clays, soils, biological tissues, foods, and coatings are shrinkable, granular materials: they are composed of packed, hydrated grains that shrink when dried. In many cases, these packings crack during drying, critically hindering applications. However, ... More

Roadmap on Material-Function Mapping for Photonic-Electronic Hybrid Neural NetworksMay 15 2019Driven by machine-learning tasks neural networks have demonstrated useful capabilities as nonlinear hypothesis classifiers. The underlying technologies performing the dot product multiplication, the summation, and the nonlinear thresholding on the input ... More

Quantum chaos challenges many-body localizationMay 15 2019Characterizing states of matter through the lens of their ergodic properties is a fascinating new direction of research. In the quantum realm, the many-body localization (MBL) was proposed to be the paradigmatic nonergodic phenomenon, which extends the ... More

Quantum chaos challenges many-body localizationMay 15 2019Jun 06 2019Characterizing states of matter through the lens of their ergodic properties is a fascinating new direction of research. In the quantum realm, the many-body localization (MBL) was proposed to be the paradigmatic nonergodic phenomenon, which extends the ... More

Bulk-boundary correspondence in soft matterMay 15 2019Bulk-boundary correspondence is the emergence of features at the boundary of a material that are dependent on and yet distinct from the properties of the bulk of the material. The diverse applications of this idea in topological insulators as well as ... More

Restricted Boltzmann Machines for Quantum States with Nonabelian or Anyonic SymmetriesMay 15 2019Although artificial neural networks have recently been proven to provide a promising new framework for constructing quantum many-body wave functions, the parameterization of a quantum wavefunction with nonabelian symmetries in terms of a Boltzmann machine ... More

Prediction on Elastic Properties of Nb-doped Ni SystemsMay 15 2019On the basis of the first principles simulation, the structure, formation enthalpy, and mechanical properties (elastic constant, bulk, and shear modulus and hardness) of five Nb-doped Ni systems are systematically studied. The calculated equilibrium volume ... More

Replica Bethe Ansatz solution to the Kardar-Parisi-Zhang equation on the half-lineMay 14 2019We consider the Kardar-Parisi-Zhang (KPZ) for the stochastic growth of an interface of height $h(x,t)$ on the positive half line with boundary condition $\partial_x h(x,t)|_{x=0}=A$. It is equivalent to a continuum directed polymer (DP) in a random potential ... More

Replica Bethe Ansatz solution to the Kardar-Parisi-Zhang equation on the half-lineMay 14 2019May 17 2019We consider the Kardar-Parisi-Zhang (KPZ) for the stochastic growth of an interface of height $h(x,t)$ on the positive half line with boundary condition $\partial_x h(x,t)|_{x=0}=A$. It is equivalent to a continuum directed polymer (DP) in a random potential ... More

Static and dynamic critical exponents in elastoplastic models of amorphous solidsMay 14 2019We analyze the behavior or different elastoplastic models approaching the yielding transition. We establish a family of static universal critical exponents which do not seem to depend on the dynamic details of the model rules. On the other hand, we discuss ... More

Generalized Approximate Survey Propagation for High-Dimensional EstimationMay 13 2019In Generalized Linear Estimation (GLE) problems, we seek to estimate a signal that is observed through a linear transform followed by a component-wise, possibly nonlinear and noisy, channel. In the Bayesian optimal setting, Generalized Approximate Message ... More

Universal and non-universal neural dynamics on small world connectomes: a finite size scaling analysisMay 13 2019Evidence of critical dynamics has been recently found in both experiments and models of large scale brain dynamics. The understanding of the nature and features of such critical regime is hampered by the relatively small size of the available connectome, ... More

Universal and non-universal neural dynamics on small world connectomes: a finite size scaling analysisMay 13 2019Jun 06 2019Evidence of critical dynamics has been recently found in both experiments and models of large scale brain dynamics. The understanding of the nature and features of such critical regime is hampered by the relatively small size of the available connectome, ... More

Disorder effects on the Origin of High-Order Harmonic Generation in SolidsMay 13 2019We consider the noninteracting electrons coupled to laser, and study perturbatively the effects of the lattice potential involving disorder on the harmonic components of the electric current, which are sources of high-order harmonic generation (HHG). ... More

Disorder Effects on the Origin of High-Order Harmonic Generation in SolidsMay 13 2019Jun 10 2019We consider noninteracting electrons coupled to laser fields, and study perturbatively the effects of the lattice potential involving disorder on the harmonic components of the electric current, which are sources of high-order harmonic generation (HHG). ... More

Machine learning quantum states in the NISQ eraMay 10 2019We review the development of generative modeling techniques in machine learning for the purpose of reconstructing real, noisy, many-qubit quantum states. Motivated by its interpretability and utility, we discuss in detail the theory of the restricted ... More

Mutual Information Scaling and Expressive Power of Sequence ModelsMay 10 2019Sequence models assign probabilities to variable-length sequences such as natural language texts. The ability of sequence models to capture temporal dependence can be characterized by the temporal scaling of correlation and mutual information. In this ... More

Percolation of Fortuin-Kasteleyn clusters for the random-bond Ising modelMay 10 2019We apply generalisations of the Swendson-Wang and Wolff cluster algorithms, which are based on the construction of Fortuin-Kasteleyn clusters, to the three-dimensional $\pm 1$ random-bond Ising model. The behaviour of the model is determined by the temperature ... More

Parrondo games as disordered systemsMay 10 2019Parrondo's paradox refers to the counter-intuitive situation where a winning strategy results from a suitable combination of losing ones. Simple stochastic games exhibiting this paradox have been introduced around the turn of the millennium. The common ... More

Global Robustness vs. Local Vulnerabilities in Complex Synchronous NetworksMay 09 2019In complex network-coupled dynamical systems, two questions of central importance are how to identify the most vulnerable components and how to devise a network making the overall system more robust to external perturbations. To address these two questions, ... More

Phase domain boundary motion and memristance in gradient-doped FeRh nanopillars induced by spin injectionMay 09 2019The B2-ordered alloy FeRh shows a metamagnetic phase transition, transforming from antiferromagnetic (AF) to ferromagnetic (FM) order at a temperature $T_\mathrm{t} \sim 380$ K in bulk. As well as temperature, the phase transition can be triggered by ... More

Finite-size effects in exponential random graphs and cluster evaporationMay 08 2019In this Letter we find numerically the strong finite-size effects in the critical behavior of Erd\H{o}s-R\'enyi (ER) networks supplemented with chemical potentials for some motifs, in particular 2-stars and triangles. For the 2-star model above the critical ... More

Hydrodynamics of disordered marginally-stable matterMay 08 2019We study the vibrational spectra and the specific heat of disordered systems using an effective hydrodynamic framework. We consider the contribution of diffusive modes, i.e. the 'diffusons', to the density of states and the specific heat. We prove analytically ... More

Machine Learning Topological Phases with a Solid-state Quantum SimulatorMay 08 2019We report an experimental demonstration of a machine learning approach to identify exotic topological phases, with a focus on the three-dimensional chiral topological insulators. We show that the convolutional neural networks---a class of deep feed-forward ... More

Diffusive transport in a quasiperiodic Fibonacci chain: absence of many-body localization at small interactionsMay 08 2019We study high-temperature magnetization transport in a many-body spin-1/2 chain with on-site quasiperiodic potential governed by the Fibonacci rule. In the absence of interactions it is known that the system is critical with the transport described by ... More