Dynamics of coherence: Maximal quantum Fisher information vs. Loschmidt echo

Abstract

We consider the dynamics of maximal quantum Fisher information (MQFI) after sudden quenches for the one-dimensional transverse-field Ising model. Our results show, the same as Loschmidt echo, there is a universality for the revival times i.e., they do not depend on the initial state and the size of the quench and are given by integer multiples of $T_{rev}\simeq \frac{N}{2v_{max}}$, where $N$ is the system size and $v_{max}$ is the maximal group velocity of quasiparticles. Critically enhanced and decreased at revival and decay times as $T_{rev}\equiv T_{dec}$ are characterized by quenching from the order and disorder phases into the quantum phase transition respectively, that can be utilized to detect the quantum critical point (QCP). In some quenches crossed from the QCP, nonanalytic behaviors appear at some times due to the turning of the local observable from one direction to another because of identifying the maximum value. We name this phenomenon \textit{the dynamical MQFI transitions}, occurring at the critical times $t_c$. Interestingly, although no Fisher zero exists in the dynamics of MQFI, the first critical time emerged from the dynamical quantum phase transition is equal to the first time whose the logarithm of MQFI is minimum. In addition, we unveil the long-time run of MQFI indicates a signature of a nonequilibrium quantum phase transition at the QCP. We also discuss the probability of arising of macroscopic superpositions in the nonequilibrium dynamics of the system.

arXiv comment10 pages, 8 figures, will appear in Phys. Rev. B

References in corpus (63)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Quantum-enhanced measurements: beating the standard quantum limit
• Quantifying Coherence
• Continuous variable quantum cryptography using coherent states
• Quantum many-body systems out of equilibrium
• Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
• Operational Resource Theory of Coherence
• General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
• Dephasing assisted transport: Quantum networks and biomolecules
• Entanglement, Non-linear Dynamics, and the Heisenberg Limit
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Ground state overlap and quantum phase transitions
• Dynamics of a Quantum Phase Transition
• Generalized uncertainty relations: Theory, examples, and Lorentz invariance
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Fidelity approach to quantum phase transitions
• Environment-independent decoherence rate in classically chaotic systems
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Vibrations, Quanta and Biology
• Observable measure of quantum coherence in finite dimensional systems
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Quantum metrology with entangled coherent states
• The Luttinger model following a sudden interaction switch-on
• Catalytic Coherence
• Quantum speed limit for physical processes
• Fisher Information and entanglement of non-Gaussian spin states
• Converting Coherence to Quantum Correlations
• Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Quantum criticality as a resource for quantum estimation
• A computable measure of nonclassicality for light
• Quench dynamics across quantum critical points
• Trace-distance measure of coherence
• Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
• Dynamical quantum phase transitions: scaling and universality
• Disentangling dynamical phase transitions from equilibrium phase transitions
• Quantum Metrology in Open Systems: Dissipative Cramér-Rao Bound
• Decoherence and the Loschmidt echo
• Quantum Quenches, Thermalization and Many-Body Localization
• Slow quenches in a quantum Ising chain; dynamical phase transitions and topology
• Local quantum quenches in critical one-dimensional systems: entanglement, the Loschmidt echo, and light-cone effects
• Quantum Fisher information as signature of superradiant quantum phase transition
• Measures of macroscopicity for quantum spin systems
• Non-Markovianity, Loschmidt echo and criticality: a unified picture
• Universal far-from-equilibrium Dynamics of a Holographic Superconductor
• Loschmidt Echo Revivals: Critical and Noncritical
• Quench dynamics and zero-energy modes: the case of the Creutz model
• Topological Entanglement-Spectrum Crossing in Quench Dynamics
• Characterization of topological states via dual multipartite entanglement
• Universality and robustness of revivals in the transverse field XY model
• Phase diagram and quench dynamics of the Cluster-XY spin chain
• Detection of Macroscopic Entanglement by Correlation of Local Observables
• Probing ground-state phase transitions through quench dynamics
• Coherence distillation machines are impossible in quantum thermodynamics
• Quantifying and controlling prethermal nonergodicity in interacting Floquet matter
• Signature of nonequilibrium quantum phase transition in the long time average of Loschmidt echo
• On the possibility of complete revivals after quantum quenches to a critical point
• Continuity of the quantum Fisher information
• Dynamical quantum correlations after sudden quenches
• Measurement quench in many-body systems
• Ineffectiveness of the Dzyaloshinskii-Moriya interaction in the dynamical quantum phase transition in the ITF model
• Scaling of macroscopic superpositions close to a quantum phase transition
• Probing the Possibilities of Ergodicity in the 1D Spin-1/2 XY Chain with Quench Dynamics

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