Dynamics of Quantum Coherence and Quantum Fisher Information After Sudden Quench

Abstract

The dynamics of relative entropy and $l_1$-norm of coherence, as well as, the Wigner-Yanase-skew and quantum Fisher information are studied for a time-dependent coupled XY spin chain in presence of a time-dependent transverse magnetic field. Independent of the initial state of the system and while the relative entropy of coherence, $l_1$-norm of coherence, and quantum Fisher information are incapable, surprisingly, the dynamic Wigner-Yanase-skew information can truly spotlight the equilibrium critical point. We also observe that when the system is quenched to the critical point, these quantities show suppressions and revivals. Moreover, the first suppression (revival) time scales linearly with the system size and its scaling ratio is unique for all quenches independent to the initial phase. This is the promised universality of the first suppression (revival) time.

8 pages, 8 figures; to appear in Phys. Rev. A

References in corpus (11)

• Observable measure of quantum coherence in finite dimensional systems
• Quantum speed limit for physical processes
• Quantum coherence and uncertainty in the anisotropic XY chain
• Optimal quantum estimation in spin systems at criticality
• Loschmidt Echo Revivals: Critical and Noncritical
• Dynamical Quantum Phase Transition and Quasi Particle Excitation
• Uncertainty Principle and Quantum Fisher Information - II
• Critical Point Estimation and Long-Range Behavior in the One-Dimensional XY Model Using Thermal Quantum and Total Correlations
• Decoherence from spin environments: Loschmidt echo and quasiparticle excitations
• Entanglement in a Time-Dependent Coupled XY Spin Chain in an External Magnetic Field
• Long range quantum coherence, quantum & classical correlations in Heisenberg XX chain

Cited by in corpus (13)

• Coherent and dissipative dynamics at quantum phase transitions
• Floquet dynamical phase transition and entanglement spectrum
• Behavior of quantum discord, local quantum uncertainty, and local quantum Fisher information in two-spin-1/2 Heisenberg chain with DM and KSEA interactions
• Work statistics and symmetry breaking in an excited state quantum phase transition
• Quantum coherence, quantum Fisher information and teleportation in the Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer with magnetic impurity
• Dynamics of closed quantum systems under stochastic resetting
• Achieving spin-squeezed states by quench dynamics in a quantum chain
• Revealing divergent length scales using quantum Fisher information in the Kitaev honeycomb model
• Robust quantum entanglement and teleportation in the tetrapartite spin-1/2 square clusters: Theoretical study on the effect of a cyclic four-spin exchange
• A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics
• Frozen condition of quantum coherence
• Parity symmetry breaking of spin-$j$ coherent state superpositions in Gaussian noise channel
• Dynamics of quantum Fisher and Wigner-Yanase skew information following a noisy quench