Polaritonic and Excitonic Time Crystals based on TMDC strips in an external periodic potential
Autor: | Martins, Gabriel P., Berman, Oleg L., Gumbs, Godfrey |
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Rok vydání: | 2022 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | We investigated the dynamics of Bose-Einstein condensates (BECs) under an external periodic potential. We consider two such systems, the first being made of exciton-polaritons in a nanoribbon of transition metal dichalcogenides (TMDCs), such as MoSe$_2$, embedded in a microcavity with a special curvature, which serves as the source of the external potential. The second, made of bare excitons in a nanoribbon of twisted TMDC bilayer, which naturally creates a periodic Moir\'e potential that can be controlled by the angle of twist. We proved that such systems exhibit a Time Crystal (TC) phase. This was demonstrated by the fact that the calculated BEC spatial density profile shows a non-trivial two-point correlator that oscillates in time. These BECs density profiles were calculated by solving the quantum Lindblad master equations for the density matrix within the mean-field approximation. We then go beyond the usual mean-field approach, by adding a stochastic term to the master equation, which corresponds to quantum corrections, and we show that the TC phase is still present. Comment: 15 pages, 10 figures |
Databáze: | arXiv |
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