The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
arXiv:2303.08341 · doi:10.1088/1367-2630/ace546
Abstract
Quantum coherence will undoubtedly play a fundamental role in understanding of the dynamics of quantum many-body systems, thereby to reveal its genuine contribution is of great importance. In this paper, we specialize our discussions to the one-dimensional transverse field quantum Ising model initialized in the coherent Gibbs state. After quenching the strength of the transverse field, the effects of quantum coherence are studied by the rate function of quantum work distribution. We find that quantum coherence not only recovers the quantum phase transition destroyed by thermal fluctuations, but also generates some entirely new singularities both in the static state and dynamics. It can be manifested that these singularities are rooted in spin flips causing the sudden change of the domain boundaries of spin polarization. This work sheds new light on the fundamental connection between quantum critical phenomena and quantum coherence.
arXiv comment8 pages, 4 figures, welcome the comments. arXiv admin note: text overlap with arXiv:1810.04614, arXiv:cond-mat/0701768 by other authors
References in corpus (81)
- Many-Body Physics with Ultracold Gases
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Thermalization and its mechanism for generic isolated quantum systems
- The large deviation approach to statistical mechanics
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- Effective quantum spin systems with ion traps
- Observation of entanglement propagation in a quantum many-body system
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Quantum phase transitions
- Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
- Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
- Dynamical quantum phase transitions: a review
- Dynamics of quantum phase transition: exact solution in quantum Ising model
- Fidelity approach to quantum phase transitions
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Irreversible entropy production, from quantum to classical
- Entanglement and Tunable Spin-Spin Couplings Between Trapped Ions Using Multiple Transverse Modes
- Thermodynamics of Quantum Jump Trajectories
- Dynamical quantum phase transitions: scaling and universality
- Topological classification of dynamical phase transitions
- Fidelity susceptibility, scaling, and universality in quantum critical phenomena
- Quantum Critical Scaling of Fidelity Susceptibility
- Periodic steady state and interference in a periodically driven quantum system
- Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
- Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition
- Quantum fidelity and quantum phase transitions in matrix product states
- The role of quantum coherence in non-equilibrium entropy production
- Aspects of non-equilibrium in classical and quantum systems: slow relaxation and glasses, dynamical large deviations, quantum non-ergodicity, and open quantum dynamics
- Quantum phase transitions and quantum fidelity in free fermion graphs
- The role of coherence in the non-equilibrium thermodynamics of quantum systems
- Fidelity and Quantum phase transition for the Heisenberg chain with the next-nearest-neighbor interaction
- Dynamical Quantum Phase Transitions in the Kitaev Honeycomb Model
- Dynamical quantum phase transitions in non-Hermitian lattices
- Large deviations and universality in quantum quenches
- Floquet dynamical quantum phase transitions
- Loschmidt Echo Revivals: Critical and Noncritical
- Dynamical Quantum Phase Transitions: A Geometric Picture
- Fidelity analysis of topological quantum phase transitions
- Dynamical topological transitions in the massive Schwinger model with a θ-term
- Quench dynamics and zero-energy modes: the case of the Creutz model
- Entanglement view of dynamical quantum phase transitions
- Quantum Quench Dynamics in the Transverse Field Ising Model at Non-zero Temperatures
- Floquet dynamical phase transition and entanglement spectrum
- Dynamical quantum phase transitions: a brief survey
- Floquet dynamical quantum phase transition in the extended XY model: nonadiabatic to adiabatic topological transition
- A bulk-boundary correspondence for dynamical phase transitions in one-dimensional topological insulators and superconductors
- Clock-work trade-off relation for coherence in quantum thermodynamics
- Dynamical Topological Quantum Phase Transitions at Criticality
- Loschmidt echo and dynamical fidelity in periodically driven quantum systems
- Floquet dynamical quantum phase transitions under synchronized periodic driving
- Dissipative Floquet Dynamical Quantum Phase Transition
- Local measures of dynamical quantum phase transitions
- Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection
- Observing Dynamical Quantum Phase Transitions through Quasilocal String Operators
- Out-of-time-order correlations and Floquet dynamical quantum phase transition
- Exceptional Dynamical Quantum Phase Transitions in Periodically Driven Systems
- Quasiperiodic dynamical quantum phase transitions in multiband topological insulators and connections with entanglement entropy and fidelity susceptibility
- Dynamical quantum phase transition from a critical quantum quench
- Dynamical and excited-state quantum phase transitions in collective systems
- Finite temperature dynamical quantum phase transition in a non-Hermitian system
- Effects of Quantum Coherence on Work Statistics
- Theory of dynamical phase transitions in quantum systems with symmetry-breaking eigenstates
- Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy
- Quench dynamics and ground state fidelity of the one-dimensional extended quantum compass model in a transverse field
- Correlations and dynamical quantum phase transitions in an interacting topological insulator
- Dynamical phase transitions in quantum spin models with antiferromagnetic long-range interactions
- Detecting out-of-time-order correlations via quasi-adiabatic echoes as a tool to reveal quantum coherence in equilibrium quantum phase transitions
- Scaling properties of work fluctuations after quenches at quantum transitions
- Floquet dynamical quantum phase transitions in periodically quenched systems
- Work statistics, quantum signatures and enhanced work extraction in quadratic fermionic models
- Quantum coherence and criticality in irreversible work
- Unconventional critical exponents at dynamical quantum phase transitions in a random Ising chain
- Mirror-symmetry-protected dynamical quantum phase transitions in topological crystalline insulators
- Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences
- Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases
- Contributions from populations and coherences in non-equilibrium entropy production
- Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model
- Characterizing the Lipkin-Meshkov-Glick excited spectrum through the quantum coherence spectrum
- A single measurement scheme for quantum work statistics based on coherent or squeezing state