Target space entanglement in quantum mechanics of fermions at finite temperature

• URL: http://arxiv.org/abs/2207.04682v1
• Date: Mon, 11 Jul 2022 07:55:17 GMT
• Title: Target space entanglement in quantum mechanics of fermions at finite temperature
• Authors: Temma Hanyuda, Soichiro Mori, Sotaro Sugishita
• Abstract summary: We consider the target space entanglement in quantum mechanics of non-interacting fermions at finite temperature. We investigate a general formula of the target space R'enyi entropy for $N$ fermions at finite temperature, and present numerical results of the entropy in a one-dimensional model.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider the target space entanglement in quantum mechanics of non-interacting fermions at finite temperature. Unlike pure states investigated in arXiv:2105.13726, the (R\'enyi) entanglement entropy for thermal states does not follow a simple bound because all states in the infinite-dimensional Hilbert space are involved. We investigate a general formula of the target space R\'enyi entropy for $N$ fermions at finite temperature, and present numerical results of the entropy in a one-dimensional model. We also argue the large $N$ behaviors with a comparison to the grand canonical ensemble.

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