In a non-equilibrium many-body system, the quantum information dynamics between non-complementary regions is a crucial feature to understand the local relaxation towards statistical ensembles. Unfortunately, its characterization is a formidable task, as non-complementary parts are generally in a mixed state. We show that for integrable systems, this quantum information dynamics can be quantitatively understood within the quasiparticle picture for the entanglement spreading. Precisely, we provide an exact prediction for the time evolution of the logarithmic negativity after a quench. In the space-time scaling limit of long times and large subsystems, the negativity becomes proportional to the Rényi mutual information with Rényi index . We provide robust numerical evidence for the validity of our results for free-fermion and free-boson models, but our framework applies to any interacting integrable system.

Quantum information dynamics in multipartite integrable systems / Alba, V.; Calabrese, P.. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - 126:6(2019), pp. 1-7. [10.1209/0295-5075/126/60001]

Quantum information dynamics in multipartite integrable systems

Alba V.;Calabrese P.
2019-01-01

Abstract

In a non-equilibrium many-body system, the quantum information dynamics between non-complementary regions is a crucial feature to understand the local relaxation towards statistical ensembles. Unfortunately, its characterization is a formidable task, as non-complementary parts are generally in a mixed state. We show that for integrable systems, this quantum information dynamics can be quantitatively understood within the quasiparticle picture for the entanglement spreading. Precisely, we provide an exact prediction for the time evolution of the logarithmic negativity after a quench. In the space-time scaling limit of long times and large subsystems, the negativity becomes proportional to the Rényi mutual information with Rényi index . We provide robust numerical evidence for the validity of our results for free-fermion and free-boson models, but our framework applies to any interacting integrable system.
2019
126
6
1
7
60001
https://doi.org/10.1209/0295-5075/126/60001
https://iopscience.iop.org/article/10.1209/0295-5075/126/60001/pdf
https://arxiv.org/abs/1809.09119v2
Alba, V.; Calabrese, P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/108416
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