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Dynamics of Lieb-Liniger gases
1Optical Sciences Center, University of Arizona, Tucson, Arizona 85721, USA. girardeu@optics.arizona.edu
Physical Review Letters
|August 9, 2003
Summary
The Lieb-Liniger cusp condition in one-dimensional Bose gases is conserved during phase imprinting. This allows approximating many-body dynamics using single-particle Schrödinger equations, enabling gray soliton generation.
Area of Science:
- Quantum mechanics
- Condensed matter physics
- Ultracold atomic gases
Background:
- One-dimensional Bose gases exhibit unique quantum phenomena.
- The Lieb-Liniger model describes interacting Bose gases.
- Phase imprinting is a technique to manipulate quantum states.
Purpose of the Study:
- To prove the dynamic conservation of the Lieb-Liniger cusp condition under phase imprinting.
- To develop an approximate method for describing many-body dynamics in the thermodynamic limit.
- To illustrate the application by studying gray soliton generation in a ring.
Main Methods:
- Theoretical analysis of the Lieb-Liniger model with delta function interactions.
- Demonstration of cusp condition conservation under arbitrary phase imprinting pulses.
- Approximation of many-body dynamics via time-dependent single-particle Schrödinger equations.
Main Results:
- The Lieb-Liniger cusp condition is dynamically conserved.
- Many-body dynamics can be approximated by single-particle orbital evolution.
- Gray solitons are successfully generated in a Lieb-Liniger gas on a ring.
Conclusions:
- The study provides a robust theoretical framework for understanding phase-imprinted Bose gases.
- The developed approximation simplifies the analysis of complex many-body dynamics.
- This work offers insights into controlling quantum gases for applications like soliton generation.
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