Probing the Possibilities of Ergodicity in the 1D Spin-1/2 XY Chain with Quench Dynamics
arXiv:2003.09462 · doi:10.1038/s41598-020-61037-8
Abstract
Ergodicity sits at the heart of the connection between statistical mechanics and dynamics of a physical system. By fixing the initial state of the system into the ground state of the Hamiltonian at zero temperature and tuning a control parameter, we consider the occurrence of the ergodicity with quench dynamics in the one-dimensional (1D) spin-1/2 XY model in a transverse magnetic field. The ground-state phase diagram consists of two ferromagnetic and paramagnetic phases. It is known the magnetization in this spin system is non-ergodic. We set up two different experiments as we call them single and double quenches and test the dynamics of the magnetization along the -axis and the spin-spin correlation function along the -axis which are the order parameters of the zero-temperature phases . Our exact results reveal that for single quenches at zero-temperature, the ergodicity depends on the initial state and the order parameter. Interestingly on the other setup, a double quench on a cyclic path, ergodicity is completely broken for starting from the phase corresponding to the order parameter. Otherwise, it depends on the first quenched point, and the quench time when the model spent before a second quench in the way back which gives an ability to controlling the ergodicity in the system. Therefore, and contrary to expectations, in the mentioned model the ergodicity can be observed with probing quench dynamics at zero-temperature. Our results provide further insight into the zero-temperature dynamical behavior of quantum systems and their connections to the ergodicity phenomenon.
arXiv comment12 pages, 8 figures
References in corpus (42)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Nonequilibrium dynamics of closed interacting quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Quantum many-body systems out of equilibrium
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Dynamics of a Quantum Phase Transition
- Decay of Loschmidt Echo Enhanced by Quantum Criticality
- Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
- The approach to thermal equilibrium in quantized chaotic systems
- Direct observation of dynamical quantum phase transitions in an interacting many-body system
- Microscopic observation of magnon bound states and their dynamics
- Observation of a dynamical topological phase transition
- Real time confinement following a quantum quench to a non-integrable model
- Quench dynamics across quantum critical points
- Ergodic dynamics and thermalization in an isolated quantum system
- Ergodicity breaking in a model showing many-body localization
- Dynamical phase transitions after quenches in non-integrable models
- Thermal Fluctuations in Quantized Chaotic Systems
- Dynamical quantum phase transitions in systems with broken-symmetry phases
- Dynamical phase diagram of spin chains with long-range interactions
- Long-Time Behavior of Macroscopic Quantum Systems: Commentary Accompanying the English Translation of John von Neumann's 1929 Article on the Quantum Ergodic Theorem
- Detecting equilibrium and dynamical quantum phase transitions in Ising chains via out-of-time-ordered correlators
- Dynamics of Many-Body Localization
- Normal Typicality and von Neumann's Quantum Ergodic Theorem
- Loschmidt Echo Revivals: Critical and Noncritical
- Probing the Bose-Glass--Superfluid Transition using Quantum Quenches of Disorder
- Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain
- The fate of dynamical phase transitions at finite temperatures and in open systems
- Non-ergodicity in the Anisotropic Dicke model
- Nonergodicity of entanglement and its complementary behavior to magnetization in infinite spin chain
- Magnetic Entanglement in Spin-1/2 XX Chains
- Controlling Dynamical Quantum Phase Transitions
- Measurement quench in many-body systems
- Dynamical quantum correlations after sudden quenches
- Non-ergodic dynamics of the extended anisotropic Heisenberg chain
- Low-temperature coherence properties of Z_2 quantum memory
Cited by in corpus (5)
- Constant-Depth Circuits for Dynamic Simulations of Materials on Quantum Computers
- Dynamics of coherence: Maximal quantum Fisher information vs. Loschmidt echo
- Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction
- Achieving spin-squeezed states by quench dynamics in a quantum chain
- Amplifying quantum correlations with quench dynamics in a quantum spin chain: Steady-states versus ground-states