Eigenstate thermalization and disappearance of quantum many-body scar states in interacting fermion systems
arXiv:2207.13688 · doi:10.1103/PhysRevB.106.214313
Abstract
The recent discovery of quantum many-body scar states has revealed the possibility of having states with low entanglement that violate the eigenstate thermalization hypothesis in nonintegrable systems. Such states with low entanglement entropy are rare but naturally exist in the integrable system of free fermions. Here, we demonstrate analytically that these atypical states would be always eliminated when an arbitrary weak interaction is introduced between the fermions. In particular, we show that the probability of having a many-body scar state with entanglement entropy satisfying a sub-volume scaling law decreases double exponentially as the system size. Thus, our results provide a quantitative argument for the disappearance of scar states in interacting fermion systems.
arXiv commentAccepted version by PRB
References in corpus (55)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- The foundations of statistical mechanics from entanglement: Individual states vs. averages
- Canonical Typicality
- Quasiparticle Lifetime in a Finite System: A Non--Perturbative Approach
- Eigenstate Thermalization Hypothesis
- The approach to thermal equilibrium in quantized chaotic systems
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- From Classical to Quantum Shannon Theory
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
- Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization
- Aspects of generic entanglement
- Effect of Rare Fluctuations on the Thermalization of Isolated Quantum Systems
- Distribution of occupation numbers in finite Fermi-systems and role of interaction in chaos and thermalization
- Does a single eigenstate encode the full Hamiltonian?
- Emergence of quantum chaos in finite interacting Fermi systems
- Statistical Theory of Finite Fermi-Systems Based on the Structure of Chaotic Eigenstates
- Subsystem ETH
- Canonical Typicality of Energy Eigenstates of an Isolated Quantum System
- Integrability of a disordered Heisenberg spin-1/2 chain
- Adiabatic eigenstate deformations as a sensitive probe for quantum chaos
- The microscopic origin of thermodynamic entropy in isolated systems
- Onset of chaos and relaxation in isolated systems of interacting spins-1/2: energy shell approach
- Eigenstate Thermalization in a Locally Perturbed Integrable System
- Chaos and statistical relaxation in quantum systems of interacting particles
- Exact three-colored quantum scars from geometric frustration
- Thermalization and canonical typicality in translation-invariant quantum lattice systems
- Weak and strong typicality in quantum systems
- Crossover from Poisson to Wigner-Dyson Level Statistics in Spin Chains with Integrability Breaking
- Thermodynamic entropy of a many body energy eigenstate
- The Entanglement of Superpositions
- Towards a Statistical Theory of Finite Systems and Compound States: Random Two-Body Interaction Approach
- Entanglement Entropy Scaling Laws and Eigenstate Typicality in Free Fermion Systems
- Correlations within Eigenvectors and Transition Amplitudes in the Two-Body Random Interaction Model
- Breit-Wigner width and participation ratio in finite interacting Fermi systems
- Slow Thermalization of Exact Quantum Many-Body Scar States Under Perturbations
- Exact many-body scars and their stability in constrained quantum chains
- Rainbow Scars: From Area to Volume Law
- Onset of many-body quantum chaos due to breaking integrability
- Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT
- Universal power law in crossover from integrability to quantum chaos
- Return probability: Exponential versus Gaussian decay
- Duality Between the Weak and Strong Interaction Limits for Randomly Interacting Fermions
- Thermalization in the Two-Body Random Ensemble
- Strength functions, entropies and duality in weakly to strongly interacting fermionic systems
- Quantum many-body scars of spinless fermions with density-assisted hopping in higher dimensions
- Entanglement of subspaces in terms of entanglement of superpositions
- Temperature of a single chaotic eigenstate
- Stability of scar states in 2D PXP model against random disorders
- Hidden thermal structure in Fock space
- Kolmogorov complexity as intrinsic entropy of a pure state: Perspective from entanglement in free fermion systems