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

@article{Zhang2022QuantumDO, 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}, year={2022} }

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…

## References

SHOWING 1-10 OF 49 REFERENCES

### Geometrizing Quantum Dynamics of a Bose-Einstein Condensate.

- PhysicsPhysical review letters
- 2020

This work suggests a new geometric framework to coherently control quantum systems and reverse their dynamics using SU(1,1) echoes in the presence of perturbations breaking the SU(2,2) symmetry.

### SU(1,1) Echoes for Breathers in Quantum Gases.

- PhysicsPhysical review letters
- 2020

This work designs echoes to reverse quantum dynamics of breathers in three-dimensional unitary fermions and two-dimensional bosons and fermion with contact interactions, which are governed by an underlying su(1,1) algebra.

### Many-body dynamics with time-dependent interaction

- PhysicsPhysical Review A
- 2021

Recent advances in optical Feshbach resonance technique have enabled the experimental investigation of atomic gases with time-dependent interaction. In this work, we study the many-body dynamics of…

### Quantum anomaly, universal relations, and breathing mode of a two-dimensional Fermi gas.

- PhysicsPhysical review letters
- 2012

It is shown that the classical SO(2,1) symmetry of a harmonically trapped Fermi gas in two dimensions is broken by quantum effects and the virial theorem for the system and a universal relation for the pressure of a homogeneous gas is derived.

### Dynamical Symmetry and Breathers in a Two-Dimensional Bose Gas

- PhysicsPhysical Review X
- 2019

A fluid is said to be \emph{scale-invariant} when its interaction and kinetic energies have the same scaling in a dilation operation. In association with the more general conformal invariance, scale…

### Pseudospin approach to the dynamics and squeezing of SU(2) and SU(1, 1) coherent states

- Physics
- 1987

The semi-classical Dicke model and the ideal parametric amplifier are described by Hamiltonians linear in the SU(2) and SU(1, 1) group generators, respectively. We use the usual pseudospin vector as…

### Quantum simulation of Unruh radiation

- PhysicsNature Physics
- 2019

The exploration of quantum phenomena in a curved spacetime is an emerging interdisciplinary area at the interface between general relativity1–4, thermodynamics4–6 and quantum information7,8. One…

### Observation of Dynamical Super-Efimovian Expansion in a Unitary Fermi Gas.

- PhysicsPhysical review letters
- 2018

Observing super Efimovian evolution represents a paradigm in probing universal properties and allows us in a new way to study many-body nonequilibrium dynamics with experiments.

### Few-Body Perspective of a Quantum Anomaly in Two-Dimensional Fermi Gases.

- PhysicsPhysical review letters
- 2020

It is shown that the maximum quantum anomaly gradually reduces as the effective range increases while the maximum position shifts towards the weak-coupling limit.

### Observation of the Efimovian expansion in scale-invariant Fermi gases

- PhysicsScience
- 2016

The theoretical prediction and experimental observation of a distinct type of expansion dynamics for scale-invariant quantum gases is reported, which shares the same scaling law and mathematical description as the Efimov effect.