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Periodically and Quasi-periodically Driven Dynamics of Bose-Einstein Condensates

Zhang, Pengfei and Gu, Yingfei (2020) Periodically and Quasi-periodically Driven Dynamics of Bose-Einstein Condensates. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20200824-085218526

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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.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/2008.00373arXivDiscussion Paper
ORCID:
AuthorORCID
Zhang, Pengfei0000-0002-4226-1394
Gu, Yingfei0000-0001-8645-879X
Additional Information:We acknowledge Ruihua Fan, Ashvin Vishwanath, Xueda Wen and Zhigang Wu for discussions. P.Z. acknowledges support from the Walter Burke Institute for Theoretical Physics at Caltech. Y.G. is supported by the Gordon and Betty Moore Foundation EPiQS Initiative through Grant (GBMF-4306), and the US Department of Energy through Grant DE-SC0019030.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Gordon and Betty Moore FoundationGBMF-4306
Department of Energy (DOE)DE-SC0019030
Record Number:CaltechAUTHORS:20200824-085218526
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200824-085218526
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105067
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 Aug 2020 16:13
Last Modified:24 Aug 2020 16:13

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