Quantum memory at an eigenstate phase transition in a weakly chaotic model
arXiv:2112.07631 · doi:10.1103/PhysRevA.106.012206
Abstract
We study a fully connected quantum spin model resonantly coupled to a small environment of non-interacting spins, and investigate how initial state properties are remembered at long times. We find memory of initial state properties, in addition to the total energy, that are not conserved by the dynamics. This memory occurs in the middle of the spectrum where an eigenstate quantum phase transition (ESQPT) occurs as a function of energy. The memory effect at that energy in the spectrum is robust to system-environment coupling until the coupling changes the energy of the ESQPT. This work demonstrates the effect of ESQPT memory as independent of integrability and suggests a wider generality of this mechanism for preventing thermalization at ESQPTs.
arXiv comment8 pages, 8 Figures
References in corpus (55)
- Many-Body Physics with Ultracold Gases
- Quantum Computing
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Many-body localization, thermalization, and entanglement
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- Quantum Computing with Very Noisy Devices
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Statistical mechanics and dynamics of solvable models with long-range interactions
- Chaos and the Quantum Phase Transition in the Dicke Model
- Generalized Gibbs ensemble in integrable lattice models
- Phase space representation of quantum dynamics
- Eigenstate Thermalization Hypothesis
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Quantum Phase Transition and Universal Dynamics in the Rabi model
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- Generalized Thermalization in an Integrable Lattice System
- Quantum Error Correction: An Introductory Guide
- Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins
- Non-stationary coherent quantum many-body dynamics through dissipation
- Alternatives to Eigenstate Thermalization
- Ultracold atoms out of equilibrium
- Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
- Excited state quantum phase transitions in many-body systems
- Does scrambling equal chaos?
- Quantum phase transitions in the interacting boson model
- Exploring dynamical phase transitions with cold atoms in an optical cavity
- Cavity Mediated Collective Spin Exchange Interactions in a Strontium Superradiant Laser
- Photon-Mediated Spin-Exchange Dynamics of Spin-1 Atoms
- Pre-thermalization in a non-integrable quantum spin chain after a quench
- Krylov complexity in saddle-dominated scrambling
- Excited-state quantum phase transitions
- Diverging equilibration times in long-range quantum spin models
- Observation of a Transition Between Dynamical Phases in a Quantum Degenerate Fermi Gas
- Excited-state quantum phase transitions in many-body systems with infinite-range interaction: Localization, dynamics, and bifurcation
- Impact of non-equilibrium fluctuations on pre-thermal dynamical phase transitions in long-range interacting spin chains
- Relaxation timescales and decay of correlations in a long-range interacting quantum simulator
- Decoherence due to an excited state quantum phase transition in a two-level boson model
- Chaotic dynamical ferromagnetic phase induced by non-equilibrium quantum fluctuations
- Multipartite entanglement structure in the Eigenstate Thermalization Hypothesis
- Universal threshold for the dynamical behavior of lattice systems with long-range interactions
- Prethermal quantum many-body Kapitza phases of periodically driven spin systems
- Non-equilibrium fixed points of coupled Ising models
- Eigenstate Thermalization in Long-Range Interacting Systems
- Non-equilibrium criticality in quench dynamics of infinite-range spin models
- Equilibrium and dynamical phase transitions in fully connected quantum Ising model: Approximate energy eigenstates and critical time
- Stroboscopic aliasing in long-range interacting quantum systems
- From observations to complexity of quantum states via unsupervised learning
- Thermalization and its Breakdown for a Large Nonlinear Spin
- Temporal fluctuations in the bosonic Josephson junction as a probe for phase space tomography
Cited by in corpus (4)
- Bridging quantum criticality via many-body scarring
- Classical route to ergodicity and scarring phenomena in a two-component Bose-Josephson junction
- Excited state quantum phase transition and Loschmidt echo spectra in a spinor Bose-Einstein condensate
- Out-of-Time Ordered Correlators in Kicked Coupled Tops: Information Scrambling in Mixed Phase Space and the Role of Conserved Quantities