Local quenches in frustrated quantum spin chains: global vs. subsystem equilibration

Abstract

We study the equilibration behavior following local quenches, using frustrated quantum spin chains as an example of interacting closed quantum systems. Specifically, we examine the statistics of the time series of the Loschmidt echo, the trace distance of the time-evolved local density matrix to its average state, and the local magnetization. Depending on the quench parameters, the equilibration statistics of these quantities show features of good or poor equilibration, indicated by Gaussian, exponential or bistable distribution functions. These universal functions provide valuable tools to characterize the various time-evolution responses and give insight into the plethora of equilibration phenomena in complex quantum systems.

8 pages, 9 figures

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Cited by in corpus (10)

• Local quenches with global effects in interacting quantum systems
• Equilibration time scales of physically relevant observables
• Loschmidt echo with a non-equilibrium initial state: early time scaling and enhanced decoherence
• Quench echo and work statistics in integrable quantum field theories
• The approach to typicality in many-body quantum systems
• Hydrodynamics of local excitations after an interaction quench in 1D cold atomic gases
• Odd thermodynamic limit for the Loschmidt echo
• Non-Markovian Equilibration Controlled by Symmetry Breaking
• Propagation of Disturbances in Degenerate Quantum Systems
• Compelling Bounds on Equilibration Times -- the Issue with Fermi's Golden Rule