Relaxation time as a control parameter for exploring dynamical phase diagrams
arXiv:2305.04643 · doi:10.1103/PhysRevB.108.174305
Abstract
We explore a full dynamical phase diagram by means of a double quench protocol that depends on a relaxation time as the only control parameter. The protocol comprises two fixed quenches and an intermediate relaxation time that determines the phase in which the quantum state is placed after the final quench. We apply it to an anharmonic Lipkin-Meshkov-Glick model. This model displays two excited-state quantum phase transitions which split the spectrum into three different phases: two of them are symmetry-breaking phases, and one is a disordered phase. As a consequence, our protocol induces several kind of dynamical phase transitions. We characterize all of them in terms of the constants of motion characterizing all three phases of the model.
arXiv comment17 pages, 8 figures
References in corpus (80)
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Dynamical quantum phase transitions: a review
- Direct observation of dynamical quantum phase transitions in an interacting many-body system
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Interaction Quench in the Hubbard model
- Dynamical phase transition in correlated fermionic lattice systems
- Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
- Excited state quantum phase transitions in many-body systems
- Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
- Dynamical phase transitions after quenches in non-integrable models
- Disentangling dynamical phase transitions from equilibrium phase transitions
- Exploring dynamical phase transitions with cold atoms in an optical cavity
- Dynamical quantum phase transitions in systems with broken-symmetry phases
- Nonthermal steady states after an interaction quench in the Falicov-Kimball model
- Dynamical phase diagram of spin chains with long-range interactions
- Anomalous dynamical phase in quantum spin chains with long-range interactions
- Excited-State Quantum Phase Transitions in Dicke Superradiance Models
- Dynamical transitions and quantum quenches in mean-field models
- Quantum quenches, dynamical transitions and off-equilibrium quantum criticality
- Excited-state quantum phase transitions
- Observation of Dynamical Quantum Phase Transition with Correspondence in Excited State Phase Diagram
- Prethermalization and Persistent Order in the Absence of a Thermal Phase Transition
- Observation of a Transition Between Dynamical Phases in a Quantum Degenerate Fermi Gas
- Dynamical Quantum Phase Transitions: A Geometric Picture
- Comparative quantum and semi-classical analysis of Atom-Field Systems I: density of states and excited-state quantum phase transitions
- Quantum quench influenced by an excited-state phase transition
- Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model
- Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
- Impact of non-equilibrium fluctuations on pre-thermal dynamical phase transitions in long-range interacting spin chains
- Reversible quantum information spreading in many-body systems near criticality
- Probing the anomalous dynamical phase in long-range quantum spin chains through Fisher-zero lines
- Structure of eigenstates and quench dynamics at an excited state quantum phase transition
- Decoherence as a signature of an excited state quantum phase transition
- Dynamical quantum phase transitions: a brief survey
- Excited-state quantum phase transition in the Rabi model
- Emergent topology and dynamical quantum phase transitions in two-dimensional closed quantum systems
- Quantum criticality and dynamical instability in the kicked top
- Decoherence due to an excited state quantum phase transition in a two-level boson model
- Dynamical phase transitions in the two-dimensional transverse-field Ising model
- Excited-state phase transition leading to symmetry-breaking steady states in the Dicke model
- Quantum quench dynamics in Dicke superradiance models
- Dissipative Floquet Dynamical Quantum Phase Transition
- Local measures of dynamical quantum phase transitions
- Entropy, chaos and excited-state quantum phase transitions in the Dicke model
- Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions
- Finite-component dynamical quantum phase transitions
- From thermal to excited-state quantum phase transitions ---the Dicke model
- Dynamical and excited-state quantum phase transitions in collective systems
- Excited-state quantum phase transitions in systems with two degrees of freedom: III. Interacting boson systems
- Spectral kissing and its dynamical consequences in the squeeze-driven Kerr oscillator
- Irreversible processes without energy dissipation in an isolated Lipkin-Meshkov-Glick model
- Excited-state quantum phase transitions in spinor Bose-Einstein condensates
- Theory of dynamical phase transitions in quantum systems with symmetry-breaking eigenstates
- Probing the excited-state quantum phase transition through statistics of Loschmidt echo and quantum work
- Dynamical quantum phase transitions in a spinor Bose-Einstein condensate and criticality enhanced quantum sensing
- Phase space geometry and optimal state preparation in quantum metrology with collective spins
- Constant of motion identifying excited-state quantum phases
- Effects of excited state quantum phase transitions on system dynamics
- Dynamical phase transitions in quantum spin models with antiferromagnetic long-range interactions
- Signature of nonequilibrium quantum phase transition in the long time average of Loschmidt echo
- Controlling Dynamical Quantum Phase Transitions
- Excited state quantum phase transitions in the bending spectra of molecules
- Signatures of excited state quantum phase transitions in quantum many body systems: Phase space analysis
- Characterizing the dynamical phase diagram of the Dicke model via classical and quantum probes
- Time delayed control of excited state quantum phase transitions in the Lipkin-Meshkov-Glick model
- Excited-state quantum phase transitions in spin-orbit coupled Bose gases
- Avoided crossings and dynamical tunneling close to excited-state quantum phase transitions
- Equilibrium and dynamical phase transitions in fully connected quantum Ising model: Approximate energy eigenstates and critical time
- Simulation of XXZ Spin Models using Sideband Transitions in Trapped Bosonic Gases
- Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model I: Static Aspects
- Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases
- Quantum fidelity susceptibility in excited state quantum phase transitions: application to the bending spectra of nonrigid molecules
- Chaos in a deformed Dicke model
- Critical quasienergy states in driven many-body systems
- Quantum mold casting for topological insulating and edge states
- Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model: Dynamical Aspects
- Excited state quantum phase transition and Loschmidt echo spectra in a spinor Bose-Einstein condensate