SU(1,1) symmetry in cold atom physics

ZHANG Ren; LÜ Chenwei

doi:10.12405/j.issn.2097-1486.2022.02.004

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SU(1,1) symmetry in cold atom physics

更新时间：2024-11-01

- SU(1,1) symmetry in cold atom physics
- Emerging Science and Technology Vol. 1, Issue 2, Pages: 167-177(2022)
- 作者机构：
  
  1.西安交通大学　物理与天文系，陕西　西安　710049
  2.普渡大学　物理学院，印第安纳州　西拉法叶　47907
- 作者简介：
- 基金信息：
- DOI：10.12405/j.issn.2097-1486.2022.02.004
  CLC： O562
- Published：2022-12，
  
  Received：20 November 2022，
  
  Revised：07 December 2022，
- 稿件说明：
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ZHANG Ren, LÜ Chenwei. SU(1,1) symmetry in cold atom physics. [J]. Emerging Science and Technology, 2022,1(2):167-177.
DOI：

ZHANG Ren, LÜ Chenwei. SU(1,1) symmetry in cold atom physics. [J]. Emerging Science and Technology, 2022,1(2):167-177. DOI： 10.12405/j.issn.2097-1486.2022.02.004.

摘要

对称性在物理的研究中发挥着至关重要的作用。得益于其良好的可操控性，冷原子物理已成为开展量子模拟、量子调控的理想平台。对称性分析也是冷原子物理理论研究中的重要研究手段。在本文中，我们关注冷原子物理中的SU(1，1)对称性。我们首先简介SU(1，1)对称性的基本性质，并回顾冷原子物理中的部分动力学研究进展。随后，我们将讨论SU(1，1)对称性在动力学及其几何化研究中的重要作用。最后，我们展望了SU(1，1)对称性有可能给出的新的研究进展，为冷原子物理研究带来新的活力。

Abstract

Symmetry plays an important role in the physics research. Thanks to its high controllability

cold atoms have been the ideal platform for quantum simulation and quantum control. Symmetry analysis is also one of the important means of study in cold atom physics. This paper focuses on the SU(1

1) symmetry. It briefly introduces the basic properties of the SU(1

1) symmetry

reviews some of the recent advances on quantum dynamics in cold atom physics

and emphasizes the prominent role of SU(1

1) symmetry in the dynamics studies of cold atoms. At last

the author presents the outlook on the possibilities of future research.

关键词

SU(11)对称性冷原子物理玻色气体标度不变费米气体Efimov物理

Keywords

SU(11) symmetrycold atom physicsBose gasscale-invariant Fermi gasEfimov physics

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