Signature of nonequilibrium quantum phase transition in the long time average of Loschmidt echo

Abstract

We unveil the role of the long time average of Loschmidt echo in the characterization of nonequilibrium quantum phase transitions by studying sudden quench processes across quantum phase transitions in various quantum systems. While the dynamical quantum phase transitions are characterized by the emergence of a series of zero points at critical times during time evolution, we demonstrate that nonequilibrium quantum phase transitions can be identified by nonanalyticities in the long time average of Loschmidt echo. The nonanalytic behaviours are illustrated by a sharp change in the long time average of Loschmidt echo or the corresponding rate function or the emergence of divergence in the second derivative of rate function when the driving quench parameter crosses the phase transition points. The connection between the second derivative of rate function and fidelity susceptibility is also discussed.

7 pages, 7 figures

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Cited by in corpus (22)

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• Floquet dynamical quantum phase transitions under synchronized periodic driving
• Theory of dynamical phase transitions in quantum systems with symmetry-breaking eigenstates
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• Dynamical quantum phase transitions in a spin chain with deconfined quantum critical points
• Dynamical quantum phase transitions following a noisy quench
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• Achieving spin-squeezed states by quench dynamics in a quantum chain
• Detecting exceptional points through dynamics in non-Hermitian systems
• Detection of quantum phase boundary at finite temperatures in integrable spin models
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• Spread complexity and dynamical transition in multimode Bose-Einstein condensates
• Fibonacci-Modulation-Induced Multiple Topological Anderson Insulators
• Characterizing phase transitions and criticality in non-Hermitian extensions of the XY model
• Parallel-in-time quantum simulation via Page and Wootters quantum time
• Relaxation time as a control parameter for exploring dynamical phase diagrams
• Dynamical quantum phase transitions in Stark quantum spin chains
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• Loschmidt echo zeros in finite-size quantum systems with linear quench
• Inducing a transition between thermal and many-body localized states and detecting many-body mobility edges through dissipation