Influences of weak disorder on dynamical quantum phase transitions of anisotropic XY chain
arXiv:1911.00906 · doi:10.1103/PhysRevB.102.014207
Abstract
In this paper, the effects of disorder on the dynamical quantum phase transitions (DQPTs) in the transverse-field anisotropic XY chain are studied by numerically calculating the Loschmidt echo after quench. We obtain the formula for calculating the Loschmidt echo of the inhomogeneous system in real space. By comparing the results with that of the homogeneous chain, we find that when the quench crosses the Ising transition, the small disorder will cause a new critical point. As the disorder increases, more critical points of the DQPTs will occur, constituting a critical region. In the quench across the anisotropic transition, the disorder will cause a critical region near the critical point, and the width of the critical region increases by the disordered strength. In the case of quench passing through two critical lines, the small disorder leads to the system to have three additional critical points. When the quench is in the ferromagnetic phase, the large disorder causes the two critical points of the homogeneous case to become a critical region. And for the quench in the paramagnetic phase, the DQPTs will disappear for large disorder.
arXiv comment7 pages, 8 figures
References in corpus (64)
- Many-Body Physics with Ultracold Gases
- Quantum Simulation
- Nonequilibrium dynamics of closed interacting quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- Quantum many-body systems out of equilibrium
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
- Dynamical quantum phase transitions: a review
- Decay of Loschmidt Echo Enhanced by Quantum Criticality
- Direct observation of dynamical quantum phase transitions in an interacting many-body system
- Universal dynamics and renormalization in many body localized systems
- Rare region effects at classical, quantum, and non-equilibrium phase transitions
- Observation of a dynamical topological phase transition
- Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
- Equilibration and Order in Quantum Floquet Matter
- Dynamical Topological Order Parameters far from Equilibrium
- Dynamical phase transitions after quenches in non-integrable models
- Dynamical quantum phase transitions and the Loschmidt echo: A transfer matrix approach
- Topological classification of dynamical phase transitions
- Disentangling dynamical phase transitions from equilibrium phase transitions
- Simulating dynamic quantum phase transitions in photonic quantum walks
- Dynamical quantum phase transitions in systems with broken-symmetry phases
- Dynamical phase diagram of spin chains with long-range interactions
- Anomalous dynamical phase in quantum spin chains with long-range interactions
- First order dynamical phase transitions
- Experimental Observation of Equilibrium and Dynamical Quantum Phase Transitions via Out-of-Time-Ordered Correlators
- Dynamical Quantum Phase Transitions in the Kitaev Honeycomb Model
- Dynamical quantum phase transitions in non-Hermitian lattices
- Slow quenches in a quantum Ising chain; dynamical phase transitions and topology
- Mixed state dynamical quantum phase transition and emergent topology
- Dynamical Topological Quantum Phase Transitions for Mixed States
- Observation of Dynamical Quantum Phase Transition with Correspondence in Excited State Phase Diagram
- Floquet dynamical quantum phase transitions
- Probing the role of long-range interactions in the dynamics of a long-range Kitaev Chain
- Dynamical quantum phase transitions in the axial next-nearest-neighbour Ising chain
- Dynamical topological transitions in the massive Schwinger model with a θ-term
- Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model
- Impact of non-equilibrium fluctuations on pre-thermal dynamical phase transitions in long-range interacting spin chains
- Dynamical free energy and the Loschmidt-echo for a class of quantum quenches in the Heisenberg spin chain
- Quantum Quench Dynamics in the Transverse Field Ising Model at Non-zero Temperatures
- Probing the anomalous dynamical phase in long-range quantum spin chains through Fisher-zero lines
- Finite-Size Scaling of a First-Order Dynamical Phase Transition: Adaptive Population Dynamics and an Effective Model
- Dynamical Quantum Phase Transition and Quasi Particle Excitation
- A bulk-boundary correspondence for dynamical phase transitions in one-dimensional topological insulators and superconductors
- Emergent topology and dynamical quantum phase transitions in two-dimensional closed quantum systems
- Dynamical phase transitions at finite temperature from fidelity and interferometric Loschmidt echo induced metrics
- Dynamical signature of localization-delocalization transition in one-dimensional incommensurate lattice
- Phase transitions in the complex plane of physical parameters
- Tuning the presence of dynamical phase transitions in a generalized spin chain
- Dynamical phase transitions, time-integrated observables and geometry of states
- Dynamical Quantum Phase Transitions in Extended Transverse Ising Models
- Interconnections between equilibrium topology and dynamical quantum phase transitions in a linearly ramped Haldane model
- Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions
- Dynamical topological invariants and reduced rate functions for dynamical quantum phase transitions in two dimensions
- Dynamical quantum phase transition for mixed states in open systems
- Zeros of Loschmidt echo in the presence of Anderson localization
- On the possibility of complete revivals after quantum quenches to a critical point
- Dynamical quantum correlations after sudden quenches
- Complex semiclassical analysis of the Loschmidt amplitude and dynamical quantum phase transitions
- Dynamical Quantum Phase Transitions in Extended Toric-Code Models
- Quench-induced dynamical phase transitions and -synchronization in the Bose-Hubbard Model
- Connecting dynamical quantum phase transitions and topological steady-state transitions by tuning the energy gap
Cited by in corpus (19)
- Floquet dynamical phase transition and entanglement spectrum
- Floquet dynamical quantum phase transition in the extended XY model: nonadiabatic to adiabatic topological transition
- Many-body dynamical phase transition in quasi-periodic potential
- Dynamical Quantum Phase Transition Without An Order Parameter
- Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases
- Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain
- Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model
- Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
- Dynamics of the Geometric Phase in Inhomogeneous Quantum Spin Chains
- Exploring Dynamical Phase Transitions in the XY Chain through Linear Quench: Early and Long-term Perspectives
- Disorder-induced dynamical Griffiths singularities after certain quantum quenches
- Aperiodic dynamical quantum phase transitions in multi-band Bloch Hamiltonian and its origin
- Scaling and Universality at Noisy Quench Dynamical Quantum Phase Transitions
- Quantum coherence assisted dynamical phase transition
- Geometry effect of the dynamical quantum phase transitions at finite temperatures
- Critical Exponent of Dynamical Quantum Phase Transition in One-Dimensional Bose-Hubbard Model in the Strong Interacting Limit
- Relaxation dynamics in the alternating XY chain following a quantum quench
- Topological Classification of Dynamical Quantum Phase Transitions in the 1D XY model via Critical Mode Analysis
- Exploring dynamical quantum phase transition from pure states to mixed states through extended Su-Schrieffer-Heeger models