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Post-Quantum Quench Growth of Renyi Entropies in Low Dimensional Continuum Bosonic Systems

arXiv
Authors: Sara Murciano, Pasquale Calabrese, Robert M. Konik

Year

2021

Paper ID

40857

Status

Preprint

Abstract Read

~2 min

Abstract Words

96

Citations

N/A

Abstract

The growth of Renyi entropies after the injection of energy into a correlated system provides a window upon the dynamics of its entanglement properties. We develop here a simulation scheme by which this growth can be determined in Luttinger liquids systems with arbitrary interactions, even those introducing gaps into the liquid. We apply this scheme to an experimentally relevant quench in the sine-Gordon field theory. While for short times we provide an analytic expression for the growth of the second and third Renyi entropy, to access longer times, we combine our scheme with truncated spectrum methods.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • The growth of Renyi entropies after the injection of energy into a correlated system provides a window upon the dynamics of its entanglement properties.

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