We study the behaviour of Rényi entropies in a generic thermodynamic macrostate of an integrable model. In the standard quench action approach to quench dynamics, the Rényi entropies may be derived from the overlaps of the initial state with Bethe eigenstates. These overlaps fix the driving term in the thermodynamic Bethe ansatz (TBA) formalism. We show that this driving term can be also reconstructed starting from the macrostate's particle densities. We then compute explicitly the stationary Rényi entropies after the quench from the dimer and the tilted Néel state in XXZ spin chains. For the former state we employ the overlap TBA approach, while for the latter we reconstruct the driving terms from the macrostate. We discuss in full detail the limits that can be analytically handled and we use numerical simulations to check our results against the large time limit of the entanglement entropies.

Rényi entropies of generic thermodynamic macrostates in integrable systems / Mestyán, Márton; Alba, Vincenzo; Calabrese, Pasquale. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2018:8(2018), pp. 1-31. [10.1088/1742-5468/aad6b9]

Rényi entropies of generic thermodynamic macrostates in integrable systems

Mestyán, Márton;Alba, Vincenzo;Calabrese, Pasquale
2018-01-01

Abstract

We study the behaviour of Rényi entropies in a generic thermodynamic macrostate of an integrable model. In the standard quench action approach to quench dynamics, the Rényi entropies may be derived from the overlaps of the initial state with Bethe eigenstates. These overlaps fix the driving term in the thermodynamic Bethe ansatz (TBA) formalism. We show that this driving term can be also reconstructed starting from the macrostate's particle densities. We then compute explicitly the stationary Rényi entropies after the quench from the dimer and the tilted Néel state in XXZ spin chains. For the former state we employ the overlap TBA approach, while for the latter we reconstruct the driving terms from the macrostate. We discuss in full detail the limits that can be analytically handled and we use numerical simulations to check our results against the large time limit of the entanglement entropies.
2018
2018
8
1
31
083104
http://iopscience.iop.org/article/10.1088/1742-5468/aad6b9/pdf
https://arxiv.org/abs/1806.00624
Mestyán, Márton; Alba, Vincenzo; Calabrese, Pasquale
File in questo prodotto:
File Dimensione Formato  
alba_calabrese.pdf

Open Access dal 30/08/2019

Tipologia: Documento in Post-print
Licenza: Non specificato
Dimensione 510.18 kB
Formato Adobe PDF
510.18 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/85590
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 37
  • ???jsp.display-item.citation.isi??? 35
social impact