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 analytic expressions for the growth of the second and third Renyi entropy, to access longer times, we combine our scheme with truncated spectrum methods.

Postquantum Quench Growth of Renyi Entropies in Low-Dimensional Continuum Bosonic Systems / Murciano, S.; Calabrese, P.; Konik, R. M.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 129:10(2022). [10.1103/PhysRevLett.129.106802]

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

Murciano, S.
;
Calabrese, P.;Konik, R. M.
2022-01-01

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 analytic expressions for the growth of the second and third Renyi entropy, to access longer times, we combine our scheme with truncated spectrum methods.
2022
129
10
106802
10.1103/PhysRevLett.129.106802
Murciano, S.; Calabrese, P.; Konik, R. M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/131435
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