期刊
SCIPOST PHYSICS
卷 9, 期 5, 页码 -出版社
SCIPOST FOUNDATION
DOI: 10.21468/SciPostPhys.9.5.079
关键词
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资金
- Walter Burke Institute for Theoretical Physics at Caltech
- Gordon and Betty Moore Foundation EPiQS Initiative [GBMF-4306]
- US Department of Energy [DE-SC0019030]
- U.S. Department of Energy (DOE) [DE-SC0019030] Funding Source: U.S. Department of Energy (DOE)
We study the quantum dynamics of Bose-Einstein condensates when the scattering length is modulated periodically or quasi-periodically in time within the Bogoliubov framework. For the periodically driven case, we consider two protocols where the modulation is a square-wave or a sine-wave. In both protocols for each fixed momentum, there are heating and non-heating phases, and a phase boundary between them. The two phases are distinguished by whether the number of excited particles grows exponentially or not. For the quasi-periodically driven case, we again consider two protocols: the square-wave quasi-periodicity, where the excitations are generated for almost all parameters as an analog of the Fibonacci-type quasi-crystal; and the sine-wave quasiperiodicity, where there is a finite measure parameter regime for the non-heating phase. We also plot the analogs of the Hofstadter butterfly for both protocols.
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