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SU(1,1) Echoes for Breathers in Quantum Gases
Chenwei Lv1, Ren Zhang1,2, Qi Zhou1,3
1Department of Physics and Astronomy, Purdue University, West Lafayette, Indiana 47907, USA.
Physical Review Letters
|January 8, 2021
Summary
Physicists can now reverse quantum dynamics in systems beyond su(2) algebra using novel SU(1,1) echoes. These echoes enable recovery of initial states in unitary fermions and bosons by creating closed trajectories on Poincaré disks.
Area of Science:
- Quantum physics
- Many-body systems
- Condensed matter theory
Background:
- Spin echoes are established methods for reversing quantum dynamics.
- Traditional spin echoes are limited to systems controlled by the su(2) algebra.
Purpose of the Study:
- To design novel echoes capable of reversing quantum dynamics in systems governed by the su(1,1) algebra.
- To explore the application of these echoes to three-dimensional unitary fermions and two-dimensional bosons and fermions with contact interactions.
Main Methods:
- Development of SU(1,1) echoes.
- Geometric interpretation using Poincaré disks.
- Analysis of breather dynamics in various quantum systems.
Main Results:
- SU(1,1) echoes successfully reverse quantum dynamics for systems beyond su(2) control.
- These echoes generate closed trajectories on Poincaré disks, allowing recovery of initial states without altering the Hamiltonian's sign.
- Breather shape dictates trajectory superposition and potential period multiplication in revival times.
Conclusions:
- The study presents a new method, SU(1,1) echoes, for controlling quantum dynamics in a broader range of systems.
- This provides a practical approach for physicists to tailor collective excitations in interacting many-body systems.
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