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Tan's Two-Body Contact in a Planar Bose Gas: Experiment versus Theory
Adam Rançon1,2, Nicolas Dupuis3
1Univ. Lille, CNRS, UMR 8523 - PhLAM - Laboratoire de Physique des Lasers Atomes et Molécules, F-59000 Lille, France.
Physical Review Letters
|July 14, 2023
Summary
We calculated the two-body contact in a Bose gas using functional renormalization. Our results show excellent agreement with experimental data across various temperatures, including the superfluid transition.
Area of Science:
- Quantum gases
- Condensed matter physics
- Many-body physics
Background:
- Two-body contact describes interactions in quantum systems.
- Bose gases confined in potentials exhibit complex behaviors.
Purpose of the Study:
- Determine the two-body contact in a planar Bose gas.
- Compare theoretical results with experimental data.
Main Methods:
- Nonperturbative functional renormalization group.
- Three-dimensional thermodynamic definition of contact.
Main Results:
- Remarkable agreement with experimental data from low to high temperatures.
- Observed agreement includes the Berezinskii-Kosterlitz-Thouless transition vicinity.
- Identified two distinct contacts governing short- and long-distance behaviors.
Conclusions:
- The functional renormalization group accurately predicts two-body contact in confined Bose gases.
- The study clarifies the roles of 3D and effective 2D contacts in different length scales.
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