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Quantum Simulation

Loschmidt Echo Revivals: Critical and Noncritical

arXiv
Authors: R. Jafari, Henrik Johannesson

Year

2016

Paper ID

41689

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

Abstract

A quantum phase transition is generally thought to imprint distinctive characteristics on the nonequilibrium dynamics of a closed quantum system. Specifically, the Loschmidt echo after a sudden quench to a quantum critical point - measuring the time dependence of the overlap between initial and time-evolved states - is expected to exhibit an accelerated relaxation followed by periodic revivals. We here introduce a new exactly solvable model, the extended Su-Schrieffer-Heeger model, the Loschmidt echo of which provides a counterexample. A parallell analysis of the quench dynamics of the three-site spin-interacting XY model allows us to pinpoint the conditions under which a periodic Loschmidt revival actually appears

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • A quantum phase transition is generally thought to imprint distinctive characteristics on the nonequilibrium dynamics of a closed quantum system.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1612.07046 [2] arXiv https://arxiv.org/abs/1612.07046 [3] Publisher https://arxiv.org/abs/1612.07046

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