Quantum dynamics of cold atomic gas with SU(1,1) symmetry

  title={Quantum dynamics of cold atomic gas with SU(1,1) symmetry},
  author={Jing Zhang and Xiaoying Yang and Chenwei Lv and Shengli Ma and Ren-jie Zhang},
  journal={Physical Review A},
Motivated by recent advances in quantum dynamics, we investigate the dynamics of the system with SU (1 , 1) symmetry. Instead of performing the time-ordered integral for the evolution operator of the time-dependent Hamiltonian, we show that the time evolution operator can be expressed as an SU (1 , 1) group element. Since the SU (1 , 1) group describes the “rotation” on a hyperbolic surface, the dynamics can be visualized on a Poincar´e disk, a stereographic projection of the upper hyperboloid… 

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