Latest in cond-mat.dis-nn
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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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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