Loschmidt amplitude spectrum in dynamical quantum phase transitions
arXiv:2203.06991 · doi:10.1103/PhysRevB.105.174307
Abstract
Dynamical quantum phase transitions (DQPTs) are criticalities in the time evolution of quantum systems and their existence has been theoretically predicted and experimentally observed. However, how the system behaves in the vicinity of DQPT and its connection to physical observables remains an open question. In this work, we introduce the concept of the Loschmidt amplitude spectrum (LAS), which extends the Loscmidt amplitude - the detector of the transition - by considering the overlap of the initial state to all the eigenstates of the prequench Hamiltonian. By analysing the LAS in the integrable transverse-field Ising model, we find that the system undergoes a population redistribution in the momentum space across DQPT. In the quasiparticle picture, all the lower-half k modes are excited when the system is at DQPT. The LAS is also applicable to study the dynamics of non-integrable models where we have investigated the Ising model with next-nearest-neighbour interactions as an example. The time evolution of the system's magnetization is found to be connected to the products of the LAS and there exists a simultaneous overlap of the time-evolved state to pairs of eigenstates of the prequnech Hamiltonian that possess spin configurations of negative magnetization. Our findings provide a better understanding of the characteristics of the out-of-equilibrium system around DQPT.
arXiv comment13 pages, 11 figures
References in corpus (64)
- Probing many-body dynamics on a 51-atom quantum simulator
- Many body localization and thermalization in quantum statistical mechanics
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Observation of entanglement propagation in a quantum many-body system
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Non-local propagation of correlations in long-range interacting quantum systems
- Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
- Dynamical quantum phase transitions: a review
- Universal digital quantum simulation with trapped ions
- Direct observation of dynamical quantum phase transitions in an interacting many-body system
- Measuring entanglement growth in quench dynamics of bosons in an optical lattice
- Observation of a dynamical topological phase transition
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Recent progress in many-body localization
- Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
- A criterion for many-body localization-delocalization phase transition
- Dynamical Topological Order Parameters far from Equilibrium
- Dynamical phase transitions after quenches in non-integrable models
- Dynamical quantum phase transitions: scaling and universality
- Disentangling dynamical phase transitions from equilibrium phase transitions
- Dynamical quantum phase transitions in systems with broken-symmetry phases
- Probing quench dynamics across a quantum phase transition into a 2D Ising antiferromagnet
- Dynamical phase diagram of spin chains with long-range interactions
- Detecting equilibrium and dynamical quantum phase transitions in Ising chains via out-of-time-ordered correlators
- Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model
- Anomalous dynamical phase in quantum spin chains with long-range interactions
- Dynamical Quantum Phase Transitions in the Kitaev Honeycomb Model
- Observation of dynamical quantum phase transition by a superconducting qubit simulation
- Floquet dynamical quantum phase transitions
- Dynamical quantum phase transitions in the axial next-nearest-neighbour Ising chain
- Dynamical topological transitions in the massive Schwinger model with a θ-term
- Quench dynamics and zero-energy modes: the case of the Creutz model
- Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition
- Floquet dynamical phase transition and entanglement spectrum
- Dynamical Quantum Phase Transition and Quasi Particle Excitation
- 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
- Dynamical quantum phase transitions in discrete time crystals
- Out-of-equilibrium phase diagram of long-range superconductors
- Dynamical phase transitions in the two-dimensional transverse-field Ising model
- Observation of dynamical phase transitions in a topological nanomechanical system
- Dynamical Topological Quantum Phase Transitions at Criticality
- Floquet dynamical quantum phase transitions under synchronized periodic driving
- Quasiparticle origin of dynamical quantum phase transitions
- Dynamics of the entanglement spectrum in spin chains
- Quantum dynamics in transverse-field Ising models from classical networks
- Dissipative Floquet Dynamical Quantum Phase Transition
- Probing ground-state phase transitions through quench dynamics
- Local measures of dynamical quantum phase transitions
- Observing Dynamical Quantum Phase Transitions through Quasilocal String Operators
- Dynamical quantum phase transitions and non-Markovian dynamics
- Dynamical quantum phase transition from a critical quantum quench
- Dynamical quantum Cherenkov transition of fast impurities in quantum liquids
- Correlations and dynamical quantum phase transitions in an interacting topological insulator
- Dynamical quantum phase transitions in collapse and revival oscillations of a quenched superfluid
- Controlling Dynamical Quantum Phase Transitions
- Edge mode dynamics of quenched topological wires
- Dynamical quantum phase transitions in Weyl semimetals
- Local marker for interacting topological insulators
- Non-Equilibrium Quantum Spin Dynamics from Classical Stochastic Processes