Mestyán, Márton and Alba, Vincenzo and Calabrese, Pasquale (2018) Rényi entropies of generic thermodynamic macrostates in integrable systems. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2018. ISSN 1742-5468
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Abstract
We study the behaviour of Renyi entropies in a generic thermodynamic macrostate of an integrable model. In the standard quench action approach to quench dynamics, the Renyi 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 Renyi entropies after the quench from the dimer and the tilted Neel 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.
| Item Type: | Article |
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| Uncontrolled Keywords: | STATES; STATISTICAL-MECHANICS; Mechanics; THERMALIZATION; MATRIX RENORMALIZATION-GROUP; FIELD THEORY; MANY-BODY SYSTEM; integrable spin chains and vertex models; entanglement entropies; generalized Gibbs ensemble; Entanglement entropy; ISOLATED QUANTUM-SYSTEMS; QUENCH; |
| Subjects: | Q Science / természettudomány > Q1 Science (General) / természettudomány általában |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 29 Mar 2023 13:45 |
| Last Modified: | 29 Mar 2023 13:45 |
| URI: | http://real.mtak.hu/id/eprint/163073 |
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