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Dynamical Fermionization in One-Dimensional Spinor Gases at Finite Temperature
1Institute for Space Sciences, Bucharest-Măgurele, R 077125, Romania.
Physical Review Letters
|May 8, 2023
Summary
Dynamical fermionization transforms Tonks-Girardeau gases into fermion systems after trap release. This effect, observed in spinor gases at finite temperatures, shows a renormalized chemical potential dependent on component number.
Area of Science:
- Quantum gases
- Many-body physics
- Condensed matter theory
Background:
- Tonks-Girardeau gas exhibits fermionization post-confinement removal.
- Dynamical fermionization confirmed experimentally for Lieb-Liniger model.
- Theoretical predictions exist for multicomponent systems at zero temperature.
Purpose of the Study:
- To analytically prove dynamical fermionization for spinor gases at finite temperatures.
- To investigate the dependence of the renormalized chemical potential on the number of components.
- To numerically verify predictions for the Gaudin-Yang model.
Main Methods:
- Analytical proof of asymptotic momentum distribution.
- Renormalization group techniques.
- Numerical simulations using a nonequilibrium generalization of Lenard's formula.
Main Results:
- Spinor gases with strong repulsive interactions exhibit dynamical fermionization at finite temperatures.
- Momentum distribution approaches that of spinless fermions.
- Renormalized chemical potential depends on the number of spinor components.
Conclusions:
- Dynamical fermionization is a robust phenomenon in repulsive quantum gases across temperatures.
- The number of components significantly influences the emergent fermionic properties.
- Analytical and numerical methods confirm the universality of this fermionization process.
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