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Correlation dynamics during a slow interaction quench in a one-dimensional Bose gas.
Jean-Sébastien Bernier1, Roberta Citro2, Corinna Kollath3
1Department of Physics and Astronomy, University of British Columbia, Vancouver V6T 1Z1, Canada.
Physical Review Letters
|March 4, 2014
Summary
We studied how a one-dimensional Bose gas
Area of Science:
- Quantum many-body physics
- Condensed matter theory
Background:
- Understanding quantum correlations is crucial for quantum technologies.
- One-dimensional (1D) Bose gases exhibit unique correlation behaviors.
Purpose of the Study:
- Investigate the dynamics of single-particle correlations in a 1D Bose gas under changing interactions.
- Explore the transition between adiabatic and sudden quench approximations.
Main Methods:
- Utilized bosonization for the Lieb-Liniger model.
- Employed time-dependent density-matrix renormalization group (DMRG) for the Bose-Hubbard model.
Main Results:
- Short-distance correlations follow an adiabatic power law.
- Long-distance correlations exhibit an algebraic decay (sudden quench).
- An unconventional stretched exponential decay is predicted at intermediate distances.
Conclusions:
- Introduced a generalized light cone concept to explain correlation propagation.
- The findings offer insights into quantum many-body dynamics and quench protocols.
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