Dynamical Quantum Phase Transition and Quasi Particle Excitation

Abstract

Dynamical phase transitions (DPTs) are signaled by the non-analytical time evolution of the dynamical free energy after quenching some global parameters in quantum systems. The dynamical free energy is calculated from the overlap between the initial and the time evolved states (Loschmidt amplitude). In a recent study it was suggested that DPTs are related to the equilibrium phase transitions (EPTs) (M. Heyl et al., Phys. Rev. Lett. \textbf{110}, 135704 (2013)). We here study an exactly solvable model, the extended $XY$ model, the Loschmidt amplitude of which provides a counterexample. We show analytically that the connection between the DPTs and the EPTs does not hold generally. Analysing also the general compass model as a second example, assists us to propound the physical condition under which the DPT occurs without crossing the equilibrium critical point, and also no DPT by crossing the equilibrium critical point.

arXiv comment10 pages, 5 figures; to appear in Scientific Reports

References in corpus (41)

• Many-Body Physics with Ultracold Gases
• Nonequilibrium dynamics of closed interacting quantum systems
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Dynamics of a Quantum Phase Transition
• Dynamical quantum phase transitions: a review
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• 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
• Boundary energy and boundary states in integrable quantum field theories
• Dynamical phase diagram of spin chains with long-range interactions
• Quantum Quench of an Atomic Mott Insulator
• Quantum phase transitions in transverse field spin models: from statistical physics to quantum information
• Anomalous dynamical phase in quantum spin chains with long-range interactions
• First order dynamical phase transitions
• Non-equilibrium dynamic critical scaling of the quantum Ising chain
• Dynamical Quantum Phase Transitions in the Kitaev Honeycomb Model
• Dynamics after a sweep through a quantum critical point
• Slow quenches in a quantum Ising chain; dynamical phase transitions and topology
• Quenches and dynamical phase transitions in a non-integrable quantum Ising model
• Loschmidt Echo Revivals: Critical and Noncritical
• Dynamical Quantum Phase Transitions: A Geometric Picture
• Dynamical quantum phase transitions in the axial next-nearest-neighbour Ising chain
• Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model
• Phase Diagram of the spin S=1/2 Extended XY model
• Probing the anomalous dynamical phase in long-range quantum spin chains through Fisher-zero lines
• From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in $XXZ$ Heisenberg spin chains
• Universality and robustness of revivals in the transverse field XY model
• Criticality revealed through quench dynamics the Lipkin-Meshkov-Glick model
• Phase diagram and quench dynamics of the Cluster-XY spin chain
• Tuning the presence of dynamical phase transitions in a generalized $XY$ spin chain
• Universal quench dynamics of interacting quantum impurity systems
• Quench dynamics and ground state fidelity of the one-dimensional extended quantum compass model in a transverse field
• Edge exponents in work statistics out of equilibrium and dynamical phase transitions from scattering theory in one dimensional gapped systems
• Decoherence from spin environments: Loschmidt echo and quasiparticle excitations
• Quantum phase transitions in exactly solvable one-dimensional compass models
• Bath-induced band decay of a Hubbard lattice gas
• Cusps in the quench dynamics of a Bloch state
• Sudden jumps and plateaus in the quench dynamics of a Bloch state

Cited by in corpus (63)

• Floquet dynamical quantum phase transitions
• Entanglement view of dynamical quantum phase transitions
• Floquet dynamical phase transition and entanglement spectrum
• Floquet dynamical quantum phase transition in the extended XY model: nonadiabatic to adiabatic topological transition
• Dynamical Topological Quantum Phase Transitions at Criticality
• Dissipative Floquet Dynamical Quantum Phase Transition
• Dynamical criticality and domain-wall coupling in long-range Hamiltonians
• Local measures of dynamical quantum phase transitions
• Finite-component dynamical quantum phase transitions
• Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions
• Dynamics of Quantum Coherence and Quantum Fisher Information After Sudden Quench
• Out-of-time-order correlations and Floquet dynamical quantum phase transition
• Quasiperiodic dynamical quantum phase transitions in multiband topological insulators and connections with entanglement entropy and fidelity susceptibility
• Dynamical and excited-state quantum phase transitions in collective systems
• Dynamical quantum phase transition in a system of non-interacting bosons
• Dynamical Topological Phase Transition in a Bose-Einstein Condensate
• Theory of dynamical phase transitions in quantum systems with symmetry-breaking eigenstates
• Engineering Floquet Dynamical Quantum Phase Transition
• Correlations and dynamical quantum phase transitions in an interacting topological insulator
• Anomaly in dynamical quantum phase transition in non-Hermitian system with extended gapless phases
• Dynamical phase transitions in quantum spin models with antiferromagnetic long-range interactions
• Ubiquity of zeros of Loschmidt amplitude for mixed states in different physical processes and their implications
• Influences of weak disorder on dynamical quantum phase transitions of anisotropic XY chain
• Floquet dynamical quantum phase transitions in periodically quenched systems
• Dynamical quantum phase transitions in spin-$S$ $\mathrm{U}(1)$ quantum link models
• Work statistics and symmetry breaking in an excited state quantum phase transition
• Loschmidt amplitude spectrum in dynamical quantum phase transitions
• Entanglement and precession in two-dimensional dynamical quantum phase transitions
• Exact zeros of the Loschmidt echo and quantum speed limit time for the dynamical quantum phase transition in finite-size systems
• Equilibrium and dynamical phase transitions in fully connected quantum Ising model: Approximate energy eigenstates and critical time
• Dynamical bulk boundary correspondence and dynamical quantum phase transitions in higher order topological insulators
• Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
• Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases
• Loschmidt Echo of Far-From-Equilibrium Fermionic Superfluids
• Quantum spin fluctuations in dynamical quantum phase transitions
• Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain
• Spin dynamics of the generalized quantum spin compass chain
• Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model
• Metamorphic dynamical quantum phase transition in double-quench processes at finite temperatures
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
• Anomalous dynamical response of non-Hermitian topological phases
• Detecting exceptional points through dynamics in non-Hermitian systems
• Dynamical quantum phase transition in diamond: applications in quantum metrology
• Entanglement in quenched extended Su-Schrieffer-Heeger model with anomalous dynamical quantum phase transitions
• Predicting topological quantum phase transition from dynamics via multisite entanglement
• Fisher zeroes and dynamical quantum phase transitions for two- and three-dimensional models
• Disorder-induced dynamical Griffiths singularities after certain quantum quenches
• The quantum annealing gap and quench dynamics in the exact cover problem
• The Loschmidt Index
• Scaling and Universality at Noisy Quench Dynamical Quantum Phase Transitions
• Exotic signature of dynamical quantum phase transition in the time evolution of engineered initial state
• Recognizing critical lines via entanglement in non-Hermitian systems
• Dynamical quantum phase transitions in Stark quantum spin chains
• Relation between equilibrium quantum phase transitions and dynamical quantum phase transitions in two-band systems
• Effect of long-range hopping on dynamic quantum phase transitions of an exactly solvable free-fermion model: Nonanalyticities at almost all times
• Persistence of power-law correlations in nonequilibrium steady states of gapped quantum spin chains
• Relaxation dynamics in the alternating XY chain following a quantum quench
• Finite time path field theory and a new type of universal quantum spin chain quench behavior
• Distinguishing dynamical quantum criticality through local fidelity distances
• Finite time path field theory perturbative methods for local quantum spin chain quenches
• Amplifying Decoherence-Free Many-Body Interactions with Giant Atoms Coupled to Parametric Waveguide
• A Dynamical Bulk-Boundary Correspondence in Two Dimensional Topological Matter
• Characterizing dynamical phase transitions in a spinor Bose-Einstein condensate via quantum and semiclassical analyses