Finite temperature dynamical quantum phase transition in a non-Hermitian system

Abstract

We investigate the interplay between the non-Hermiticity and finite temperature in the context of mixed state dynamical quantum phase transition (MSDQPT). We consider a $p$-wave superconductor model, encompassing complex hopping and non-Hermiticity that can lead to gapless phases in addition to gapped phases, to examine the MSDQPT and winding number via the intra-phase quench. We find that the MSDQPT is always present irrespective of the gap structure of the underlying phase, however, the profile of Fisher zeros changes between the above phases. Such occurrences of MSDQPT are in contrast to the zero-temperature case where DQPT does not take place for the gapped phase. Surprisingly, the half-integer jumps in winding number at zero-temperature are washed away for finite temperature in the gapless phase. We study the evolution of the minimum time required by the system to experience MSDQPT with the inverse temperature such that gapped and gapless phases can be differentiated. Our study indicates that the minimum time shows monotonic (non-monotonic) behavior for the gapped (gapless) phase.

arXiv comment16 pages and 7 figures (main text: 8 pages with 5 figures + appendix: 8 pages with 2 figure)

References in corpus (104)

• Unpaired Majorana fermions in quantum wires
• Edge states and topological invariants of non-Hermitian systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Symmetry and Topology in Non-Hermitian Physics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Band Theory for Non-Hermitian Hamiltonians
• Observation of bulk boundary correspondence breakdown in topolectrical circuits
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Probing topological invariants in the bulk of a non-Hermitian optical system
• Dynamical quantum phase transitions: a review
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Quantum Logic Gates in Optical Lattices
• Geometric phases for mixed states in interferometry
• Fidelity approach to quantum phase transitions
• Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Critical non-Hermitian Skin Effect
• Observation of a dynamical topological phase transition
• Higher-order non-Hermitian skin effect
• New topological invariants in non-Hermitian systems
• Parity-time-symmetric quantum critical phenomena
• Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
• Non-Hermitian perspective of the band structure in heavy-fermion systems
• Exceptional rings in two-dimensional correlated systems with chiral symmetry
• Dynamical Topological Order Parameters far from Equilibrium
• Dynamical phase transitions after quenches in non-integrable models
• Dynamical quantum phase transitions: scaling and universality
• Dynamical quantum phase transitions and the Loschmidt echo: A transfer matrix approach
• Simultaneous Observation of Topological Edge State and Exceptional Point in an Open and Non-Hermitian System
• Topological classification of dynamical phase transitions
• Disentangling dynamical phase transitions from equilibrium phase transitions
• Mixed-state fidelity and quantum criticality at finite temperature
• Tunable non-reciprocal quantum transport through a dissipative Aharonov-Bohm ring in ultracold atoms
• Majorana Fermions in superconducting 1D systems having periodic, quasiperiodic, and disordered potentials
• Majorana Fermions in superconducting wires: effects of long-range hopping, broken time-reversal symmetry and potential landscapes
• Decoherence and the Loschmidt echo
• Dynamical phase diagram of spin chains with long-range interactions
• Quantum fidelity measures for mixed states
• An experimental observation of geometric phases for mixed states using NMR interferometry
• 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
• Mirror skin effect and its electric circuit simulation
• Quenches and dynamical phase transitions in a non-integrable quantum Ising model
• Loschmidt Echo Revivals: Critical and Noncritical
• Floquet dynamical quantum phase transitions
• Quantum critical behavior influenced by measurement backaction in ultracold gases
• Dynamical Quantum Phase Transitions: A Geometric Picture
• Non-Hermitian Weyl Physics in Topological Insulator Ferromagnet Junctions
• 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
• Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model
• Quench dynamics and zero-energy modes: the case of the Creutz model
• Floquet dynamical phase transition and entanglement spectrum
• Majorana Edge Modes with Gain and Loss
• Floquet dynamical quantum phase transition in the extended XY model: nonadiabatic to adiabatic topological transition
• Dynamical phase transitions at finite temperature from fidelity and interferometric Loschmidt echo induced metrics
• Exceptional Spin Liquids from Couplings to the Environment
• Dynamical quantum phase transitions in discrete time crystals
• Quantum Fidelity and Thermal Phase Transitions
• Out-of-equilibrium phase diagram of long-range superconductors
• Dynamical phase transitions in the two-dimensional transverse-field Ising model
• Coherent state transfer via highly mixed quantum spin chains
• Tuning the presence of dynamical phase transitions in a generalized $XY$ spin chain
• The fate of dynamical phase transitions at finite temperatures and in open systems
• Floquet dynamical quantum phase transitions under synchronized periodic driving
• Quasiparticle origin of dynamical quantum phase transitions
• Dissipative Floquet Dynamical Quantum Phase Transition
• Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection
• Survival probability of an edge Majorana in a 1-D p-wave superconducting chain under sudden quenching of parameters
• Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions
• The scaling of the decoherence factor of a qubit coupled to a spin chain driven across quantum critical points
• Exceptional Dynamical Quantum Phase Transitions in Periodically Driven Systems
• Non-Hermitian higher-order topological superconductors in two-dimension: statics and dynamics
• Dynamical quantum phase transition in a system of non-interacting bosons
• Dynamical Topological Phase Transition in a Bose-Einstein Condensate
• Engineering Floquet Dynamical Quantum Phase Transition
• Edge exponents in work statistics out of equilibrium and dynamical phase transitions from scattering theory in one dimensional gapped systems
• Dynamical quantum phase transition for mixed states in open systems
• Dynamical quantum phase transitions in systems with broken continuous time and space translation symmetries
• Dynamics of decoherence: universal scaling of the decoherence factor
• Finite time interaction quench in a Luttinger model
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Anomaly in dynamical quantum phase transition in non-Hermitian system with extended gapless phases
• Ubiquity of zeros of Loschmidt amplitude for mixed states in different physical processes and their implications
• Many-body dynamical phase transition in quasi-periodic potential
• Boundaries and unphysical fixed points in Dynamical Quantum Phase Transitions
• Exploring the possibilities of dynamical quantum phase transitions in the presence of a Markovian bath
• Floquet dynamical quantum phase transitions in periodically quenched systems
• Non-linear current and dynamical quantum phase transitions in the flux-quenched Su-Schrieffer-Heeger model
• Dynamical quantum phase transition in a bosonic system with long-range interactions
• Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
• Possibility of adiabatic transport of a Majorana edge state through an extended gapless region
• Metamorphic dynamical quantum phase transition in double-quench processes at finite temperatures
• A study of excess energy and decoherence factor of a qubit coupled to a one dimensional periodically driven spin chain
• Survival probability in a quenched Majorana chain with an impurity
• Topological phase in Kitaev chain with spatially separated pairing processes
• Loschmidt echo of local dynamical processes in integrable and non integrable spin chains

Cited by in corpus (22)

• Biorthogonal Dynamical Quantum Phase Transitions in Non-Hermitian Systems
• Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases
• Lindblad master equation approach to the dissipative quench dynamics of planar superconductors
• Dissipation driven dynamical topological phase transitions in two-dimensional superconductors
• Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain
• Complex dynamics approach to dynamical quantum phase transitions: the Potts model
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
• Detecting exceptional points through dynamics in non-Hermitian systems
• Persistent anomaly in dynamical quantum phase transition in long-range non-Hermitian $p$-wave Kitaev chain
• Aperiodic dynamical quantum phase transitions in multi-band Bloch Hamiltonian and its origin
• Scaling and Universality at Noisy Quench Dynamical Quantum Phase Transitions
• Vortex loop dynamics and dynamical quantum phase transitions in 3D fermion matter
• Quantum coherence assisted dynamical phase transition
• Recognizing critical lines via entanglement in non-Hermitian systems
• Geometry effect of the dynamical quantum phase transitions at finite temperatures
• Emerging topological characterization in non-equilibrium states of quenched Kitaev chains
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Emergent dynamical quantum phase transition in a $Z_3$ symmetric chiral clock model
• 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
• Adiabatic charge transport through non-Bloch bands
• Anatomy of Non-Hermitian Dynamical Quantum Phase Transitions