Floquet spectrum and universal dynamics of a periodically driven two-atom system

doi:10.1088/1674-1056/ad0623

中国物理B ›› 2024, Vol. 33 ›› Issue (2): 26702-026702.doi: 10.1088/1674-1056/ad0623

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

收稿日期:2023-07-08 修回日期:2023-10-12 接受日期:2023-10-24 出版日期:2024-01-16 发布日期:2024-01-25
通讯作者: Mingyuan Sun E-mail:mingyuansun@bupt.edu.cn
基金资助:
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).

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

Received:2023-07-08 Revised:2023-10-12 Accepted:2023-10-24 Online:2024-01-16 Published:2024-01-25
Contact: Mingyuan Sun E-mail:mingyuansun@bupt.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: Floquet spectrum, universal dynamics, two-atom system, avoided crossing

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.

Key words: Floquet spectrum, universal dynamics, two-atom system, avoided crossing

中图分类号: (Ultracold gases, trapped gases)

67.85.-d

21.45.-v (Few-body systems) 47.70.Nd (Nonequilibrium gas dynamics) 34.50.-s (Scattering of atoms and molecules)

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[J]. 中国物理B, 2024, 33(2): 26702-026702.

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Floquet spectrum and universal dynamics of a periodically driven two-atom system

Floquet spectrum and universal dynamics of a periodically driven two-atom system

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