Emergence of quantum chaos in finite interacting Fermi systems

Abstract

We study the level spacing statistics P(s) in many-body Fermi systems and determine a critical two-body interaction strength Uc at which a crossover from Poisson to Wigner-Dyson statistics takes place. Near the Fermi level the results allow to find a critical temperature Tch above which quantum chaos and thermalization set in.

revtex, 4 pages, 4 figures

Cited by in corpus (161)

• Many-body localization edge in the random-field Heisenberg chain
• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Chaos and the Quantum Phase Transition in the Dicke Model
• Quantum entanglement in condensed matter systems
• The Statistical Theory of Quantum Dots
• Many-body localization: an introduction and selected topics
• The approach to thermal equilibrium in quantized chaotic systems
• Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
• Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization
• The Ergodic Side of the Many-Body Localization Transition
• A strongly correlated metal built from Sachdev-Ye-Kitaev models
• Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
• Anderson localization on random regular graphs
• Quantum Chaos Border for Quantum Computing
• Quantum Quenches, Thermalization and Many-Body Localization
• Integrability of a disordered Heisenberg spin-1/2 chain
• Scaling theory of the Anderson transition in random graphs: ergodicity and universality
• Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model
• Fractality of wave functions on a Cayley tree: Difference between a tree and a locally tree-like graph without boundary
• Emergence of Quantum Chaos in Quantum Computer Core and How to Manage It
• From Anderson localization on Random Regular Graphs to Many-Body localization
• Extended nonergodic states in disordered many-body quantum systems
• Scrambling of Quantum Information in Quantum Many-Body Systems
• Entanglement versus chaos in disordered spin chains
• Nature of Many-Body Localization and Transitions by Density Matrix Renormaliztion Group and Exact Diagonalization Studies
• Local quenches with global effects in interacting quantum systems
• Delocalized Glassy Dynamics and Many Body Localization
• The Many-Body localization transition in the Hilbert space
• Bimodal entanglement entropy distribution in the many-body localization transition
• Localization and fluctuations of local spectral density on tree-like structures with large connectivity: Application to the quasiparticle line shape in quantum dots
• Critical properties of the Anderson localization transition and the high dimensional limit
• Integrability and Quantum Chaos in Spin Glass Shards
• Many-body level statistics of single-particle quantum chaos
• Multifractality of wave functions on a Cayley tree: From root to leaves
• Breit-Wigner width and participation ratio in finite interacting Fermi systems
• Thermalization and ergodicity in many-body open quantum systems
• Quantum Chaos, Delocalization, and Entanglement in Disordered Heisenberg Models
• Excited Eigenstates and Strength Functions for Isolated Systems of Interacting Particles
• Chain breaking and Kosterlitz-Thouless scaling at the many-body localization transition in the random field Heisenberg spin chain
• Spectral Properties of the k-Body Embedded Gaussian Ensembles of Random Matrices
• Tripartite mutual information, entanglement, and scrambling in permutation symmetric systems with an application to quantum chaos
• Integrability vs Quantum Thermalization
• Energy transport in the Anderson insulator
• Unconventional decay law for excited states in closed many-body systems
• Entropy production and wave packet dynamics in the Fock space of closed chaotic many-body systems
• Many-body localization in a quasiperiodic Fibonacci chain
• Suppression of Ground-State Magnetization in Finite-Sized Systems Due to Off-Diagonal Interaction Fluctuations
• Spectral statistics of chaotic many-body systems
• Spectral diffusion and scaling of many-body delocalization transitions
• Many-body localization and mobility edge in a disordered Heisenberg spin ladder
• Weak integrability breaking: chaos with integrability signature in coherent diffusion
• Threshold for Chaos and Thermalization in One-Dimensional Mean-Field Bose-Hubbard Model
• Interplay between interaction and (un)correlated disorder in one-dimensional many-particle systems: delocalization and global entanglement
• Localization in Fock space: A finite size scaling hypothesis for many particle excitation statistics
• Incoherent transport induced by a single static impurity in a Heisenberg chain
• Wave Function Structure in Two-Body Random Matrix Ensembles
• Anomalous dynamics in the ergodic side of the Many-Body Localization transition and the glassy phase of Directed Polymers in Random Media
• Electron recombination with multicharged ions via chaotic many-electron states
• Critical spectral statistics in two-dimensional interacting disordered systems
• Structure of wavefunctions in (1+2)-body random matrix ensembles
• Spectral Properties of the k-Body Embedded Gaussian Ensembles of Random Matrices for Bosons
• Random matrix model for quantum dots with interactions and the conductance peak spacing distribution
• Properties of low-lying states in a diffusive quantum dot and Fock-space localization
• Statistics of electromagnetic transitions as a signature of chaos in many-electron atoms
• Duality Between the Weak and Strong Interaction Limits for Randomly Interacting Fermions
• Ground-State Magnetization for Interacting Fermions in a Disordered Potential : Kinetic Energy, Exchange Interaction and Off-Diagonal Fluctuations
• Many-body delocalization transition and relaxation in a quantum dot
• Hilbert-space fragmentation, multifractality, and many-body localization
• Induced Delocalization by Correlation and Interaction in the one-dimensional Anderson Model
• Spin Structure of Many-Body Systems with Two-Body Random Interactions
• Delocalization border and onset of chaos in a model of quantum computation
• Critical behavior of the Anderson model on the Bethe lattice via a large-deviation approach
• Non-Cayley-tree model for quasiparticle decay in a quantum dot
• Statistics of energy spectra of a strongly disordered system of interacting electrons
• Relaxation, chaos, and thermalization in a three-mode model of a BEC
• The Loschmidt Echo as a robust decoherence quantifier for many-body systems
• Many-body localization and thermalization in the full probability distribution function of observables
• Chaos and Thermalization in the Spin-Boson Dicke Model
• Interaction-Driven Instabilities in the Random-Field XXZ Chain
• Thermalization in the Two-Body Random Ensemble
• Topological order in random interacting Ising-Majorana chains stabilized by many-body localization
• Random Matrices with Correlated Elements: A Model for Disorder with Interactions
• Probing Many-Body Localization by Spin Noise Spectroscopy
• Many-Body Localization in a finite-range Sachdev-Ye-Kitaev model
• Scaling at the chaos threshold in an interacting quantum dot
• GOE statistics in graphene billiards with the shape of classically integrable billiards
• Out of equilibrium Phase Diagram of the Quantum Random Energy Model
• Transport Control in Low-Dimensional Spin-1/2 Heisenberg Systems
• Strength functions, entropies and duality in weakly to strongly interacting fermionic systems
• Role of Fock-space correlations in many-body localization
• Disordered XYZ Spin Chain Simulations using the Spectrum Bifurcation Renormalization Group
• Out-of-equilibrium dynamics and thermalization of string order
• Emergence of many-body quantum chaos via spontaneous breaking of unitarity
• Proposal for many-body quantum chaos detection
• Low energy transition in spectral statistics of 2D interactingfermions
• Dynamical thermalization in isolated quantum dots and black holes
• From eigenstate to Hamiltonian: Prospects for ergodicity and localization
• Ergodicity-to-localization transition on random regular graphs with large connectivity and in many-body quantum dots
• Many-body localization transition from flatband fine-tuning
• Fully localized and partially delocalized states in the tails of Erdös-Rényi graphs in the critical regime
• Chaos and localization in the wavefunctions of complex atoms NdI, PmI and SmI
• Multifractal phase in the weighted adjacency matrices of random Erdös-Rényi graphs
• Numerical study of quasiparticle lifetime in quantum dots
• Chaos due to symmetry-breaking in deformed Poisson ensemble
• Spectral form factors of clean and random quantum Ising chains
• Many-body Quantum Chaos and Entanglement in a Quantum Ratchet
• Quantum Chaos at Finite Temperature
• Full density matrix dynamics for large quantum systems: Interactions, Decoherence and Inelastic effects
• Interaction-Driven Equilibrium and Statistical Laws in Small Systems. The Cerium Atom
• Phase-space characterization of complexity in quantum many-body dynamics
• Probing Quantum Chaos in many-body quantum systems by the induced dissipation
• Collectivity Embedded in Complex Spectra of Finite Interacting Fermi Systems: Nuclear Example
• Quantum Chaos in the Extended Dicke Model
• Chaotic dynamics in a quantum Fermi-Pasta-Ulam problem
• Ground State Properties of Many-Body Systems in the Two-Body Random Ensemble and Random Matrix Theory
• Signatures of an intermediate 2d Coulomb phase at low temperatures
• Shallow Coulomb Gap and Weak Level-Level Correlations in a Deeply Insulating Electron System with Interactions
• Breaking the chains: extreme value statistics and localization in random spin chains
• Dynamical thermalization in Bose-Hubbard systems
• Fundamental aspects of steady state heat to work conversion
• Bivariate $t$-distribution for transition matrix elements in Breit-Wigner to Gaussian domains of interacting particle systems
• Scaling near Quantum Chaos Border in Interacting Fermi Systems
• Statistics of systemwide correlations in the random-field XXZ chain: Importance of rare events in the many-body localized phase
• Suppression of quantum chaos in a quantum computer hardware
• Dirty bosons on the Cayley tree: Bose-Einstein condensation versus ergodicity breaking
• Statistics of level spacing of geometric resonances in random binary composites
• Typical, finite baths as a means of exact simulation of open quantum systems
• Random Matrix Ensembles For Many-Body Quantum Systems
• Electron Interaction Effects in Periodically Driven Kitaev Model: Topology Breaking and Enhancement of Quantum Chaos
• Chaos in fermionic many-body systems and the metal-insulator transition
• On the Emergence of the Microcanonical Description from a Pure State
• Investigating finite-size effects in random matrices by counting resonances
• Entanglement entropy and localization in disordered quantum chains
• The Ergodicity Landscape of Quantum Theories
• Statistical Properties of Charmonium Spectrum and a New Mechanism of J/ψSuppression
• Cat states carrying long-range correlations in the many-body localized phase
• Evaporative cooling and self-thermalization in an open system of interacting fermions
• Hole probability for noninteracting fermions in a $d$-dimensional trap
• Two electrons in a two dimensional random potential: exchange, interaction and localization
• Long-lived states with well-defined spins in spin-$1/2$ homogeneous Bose gases
• Interplay of many-body interactions and quasiperiodic disorder in the all-band-flat diamond chain
• Energy relaxation rate and its mesoscopic fluctuations in quantum dots
• Dynamical decoherence of a qubit coupled to a quantum dot or the SYK black hole
• Effect of a lattice upon an interacting system of electrons in two dimensions: Breakdown of scaling and decay of persistent currents
• Investigating interaction-induced chaos using time-dependent density functional theory
• Critical Spectral Statistics at the Metal-Insulator Transition in Interacting Fermionic Systems
• Eigenstate thermalization and disappearance of quantum many-body scar states in interacting fermion systems
• Anderson-Mott transition in a disordered Hubbard model with correlated hopping
• Characterizing quantum chaoticity of kicked spin chains
• Dynamical thermalization of interacting fermionic atoms in a Sinai-oscillator trap
• Scaling of many-body localization transitions: Quantum dynamics in Fock space and real space
• Ordered Level Spacing Distribution in Embedded Random Matrix Ensembles
• Deviations from random matrix entanglement statistics for kicked quantum chaotic spin-$1/2$ chains
• Traveling/non-traveling phase transition and non-ergodic properties in the random transverse-field Ising model on the Cayley tree
• Ergodic Properties of Local Spectral Density for a Conservative System of Coupled Quantum States
• Long-range resonances in quasiperiodic many-body localization
• Spectral-statistics properties of the experimental and theoretical light baryon and meson spectra
• Heat percolation in many-body flatband localizing systems
• Local Spectral Density for a Periodically Driven System of Coupled Quantum States with Strong Imperfection in Unperturbed Energies
• Feasibility and Single Parameter Scaling of Extinctions in Large Ecological Communities
• Eigenstate thermalization and ensemble equivalence in few-body fermionic systems