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- W2895792470 abstract "We present a new mechanism for realizing of time crystal phase with arbitrary period, termed as commensurate time crystal (CTC), in a quantum seesaw constructed by an interacting Bose-Hubbard model. By periodically modulating the Hamiltonian, we find that the wave function will recover to its initial condition to when the modulating frequency is commensurate with the initial energy level spacing between the ground and first excited levels. The period is determined by the driving frequency and commensurate ratio. In this case, the wave function will almost be restricted to the lowest two instantaneous energy levels. By projecting the wave function to these two relevant states, the dynamics is exactly the same as that for a spin precessing dynamics and nutating dynamics about an rotating axis. The commensurate motion between these two dynamics give rise to CTC. We map out the corresponding phase diagram and show that in the low frequency regime the state is thermalized and in the strong modulating limit, the dynamics is determined by the effective Floquet Hamiltonian. This CTC is realizable between these two limits. The measurement of this dynamics from mean position and mean momentum in phase space is also discussed." @default.
- W2895792470 created "2018-10-26" @default.
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- W2895792470 date "2018-10-21" @default.
- W2895792470 modified "2023-09-27" @default.
- W2895792470 title "Nutation dynamics and commensurate time crystal in a many-body seesaw" @default.
- W2895792470 hasPublicationYear "2018" @default.
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