Related papers: Entanglement R\'enyi entropy and boson-fermion duality in massless Thirring model

Entanglement R\'enyi entropy and boson-fermion duality in massless Thirring model

URL: http://arxiv.org/abs/2309.11889v2
Date: Mon, 18 Dec 2023 02:41:57 GMT
Title: Entanglement R\'enyi entropy and boson-fermion duality in massless Thirring model
Authors: Harunobu Fujimura, Tatsuma Nishioka and Soichiro Shimamori
Abstract summary: We investigate the second R'enyi entropy of two intervals in the massless Thirring model. We derive exact results on the second R'enyi entropy, and examine the dependence on the sizes of the intervals and the coupling constant of the model.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We investigate the second R\'enyi entropy of two intervals in the massless Thirring model describing a self-interacting Dirac fermion in two dimensions. Boson-fermion duality relating this model to a free compact boson theory enables us to simplify the calculation of the second R\'enyi entropy, reducing it to the evaluation of the partition functions of the bosonic theory on a torus. We derive exact results on the second R\'enyi entropy, and examine the dependence on the sizes of the intervals and the coupling constant of the model both analytically and numerically. We also explore the mutual R\'enyi information, a measure quantifying the correlation between the two intervals, and find that it generally increases as the coupling constant of the Thirring model becomes larger.

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