Periodically and quasi-periodically driven dynamics of Bose-Einstein condensates
Pengfei Zhang, Yingfei Gu
SciPost Phys. 9, 079 (2020) · published 23 November 2020
- doi: 10.21468/SciPostPhys.9.5.079
- Submissions/Reports
Abstract
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 quasi-periodicity, 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.
Cited by 8
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Pengfei Zhang,
- 2 Yingfei Gu