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Floquet spectrum and universal dynamics of a periodically driven two-atom system |
| Wenzhu Xie(谢文柱), Zhengqiang Zhou(周正强), Xuan Li(李轩), Simiao Cui(崔思淼), and Mingyuan Sun(孙明远)† |
| School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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Abstract We investigate the Floquet spectrum and excitation properties of a two-ultracold-atom system with periodically driven interaction in a three-dimensional harmonic trap. The interaction between the atoms is changed by varying the s-wave scattering length in two ways, the cosine and the square-wave modulations. It is found that as the driving frequency increases, the Floquet spectrum exhibits two main features for both modulations, the accumulating and the spreading of the quasienergy levels, which further lead to different dynamical behaviors. The accumulation is associated with collective excitations and the persistent growth of the energy, while the spread indicates that the energy is bounded at all times. The initial scattering length, the driving frequency and amplitude can all significantly change the Floquet spectrum as well as the dynamics. However, the corresponding relation between them is valid universally. Finally, we propose a mechanism for selectively exciting the system to one specific state by using the avoided crossing of two quasienergy levels, which could guide preparation of a desired state in experiments.
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Received: 08 July 2023
Revised: 12 October 2023
Accepted manuscript online: 24 October 2023
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PACS:
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67.85.-d
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(Ultracold gases, trapped gases)
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21.45.-v
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(Few-body systems)
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47.70.Nd
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(Nonequilibrium gas dynamics)
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34.50.-s
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(Scattering of atoms and molecules)
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| Fund: The project was supported by the National Natural Science Foundation of China (Grant No. 12004049), and the Fund of State Key Laboratory of IPOC (BUPT) (Grant Nos. 600119525 and 505019124). |
Corresponding Authors:
Mingyuan Sun
E-mail: mingyuansun@bupt.edu.cn
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Cite this article:
Wenzhu Xie(谢文柱), Zhengqiang Zhou(周正强), Xuan Li(李轩), Simiao Cui(崔思淼), and Mingyuan Sun(孙明远) Floquet spectrum and universal dynamics of a periodically driven two-atom system 2024 Chin. Phys. B 33 026702
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