Free Fock parafermions in the tight-binding model with dissipation
A. S. Mastiukova+*×, D. V. Kurlov+×, V. Gritsev+°, A. K. Fedorov+×
+Russian Quantum Center, Skolkovo, 143025 Moscow, Russia
*Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia
×National University of Science and Technology "MISIS", 119049 Moscow, Russia
°Institute for Theoretical Physics Amsterdam, Universiteit van Amsterdam, Amsterdam 1098 XH, The Netherlands
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.