2022/10/14 by Gabriel P. Martins, Martins, Gabriel P., Oleg L. Berman +3
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Information and Cryptography #Strong Light-Matter Interactions
paper · pdf · doi:10.48550/arxiv.2210.07969
openalex publication_date 2022/10/14 · openalex created_date 2022/10/20 · openalex updated_date 2026/07/28
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 MoSe2, 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 Moiré 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.