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arXiv · 2203.03554

Free Fock parafermions in the tight-binding model with dissipation

A. S. Mastiukova·D. V. Kurlov·V. Gritsev·A. K. Fedorov
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Abstract

Parafermions that generalize (Majorana or usual) fermions appear as interacting quasi-particles because of their nature. Although attempts to develop models with free (non-interacting) parafermions have been undertaken, existing proposals require unphysical conditions such as realizing purely non-Hermitian systems. Here we present a way for the realization of free Fock parafermions in the tight-binding model with controlled dissipation of a very simple form. Introducing dissipation transforms an originally non-integrable quantum model to an exactly solvable classical one.

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A. S. Mastiukova, D. V. Kurlov, V. Gritsev, A. K. Fedorov. 2022-03-07. Free Fock parafermions in the tight-binding model with dissipation. https://arxiv.org/abs/2203.03554

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