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Physical Review Letters
Article . 2023 . Peer-reviewed
License: APS Licenses for Journal Article Re-use
Data sources: Crossref
https://doi.org/10.48550/arxiv...
Article . 2022
License: CC BY
Data sources: Datacite
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Tan’s Two-Body Contact in a Planar Bose Gas: Experiment versus Theory

Authors: Adam Rançon; Nicolas Dupuis;

Tan’s Two-Body Contact in a Planar Bose Gas: Experiment versus Theory

Abstract

We determine the two-body contact in a planar Bose gas confined by a transverse harmonic potential, using the nonperturbative functional renormalization group. We use the three-dimensional thermodynamic definition of the contact where the latter is related to the derivation of the pressure of the quasi-two-dimensional system with respect to the three-dimensional scattering length of the bosons. Without any free parameter, we find a remarkable agreement with the experimental data of Zou {\it et al.} [Nat. Comm. {\bf 12}, 760 (2021)] from low to high temperatures, including the vicinity of the Berezinskii-Kosterlitz-Thouless transition. We also show that the short-distance behavior of the pair distribution function and the high-momentum behavior of the momentum distribution are determined by two contacts: the three-dimensional contact for length scales smaller than the characteristic length $\ell_z=\sqrt{\hbar/m\omega_z}$ of the harmonic potential and, for length scales larger than $\ell_z$, an effective two-dimensional contact, related to the three-dimensional one by a geometric factor depending on $\ell_z$.

Comment: v1) 6+10 pages, 2+1 figures; v2) 6+12 pages, 2+4 figures, published version

Country
France
Keywords

Motion, Quantum Physics, [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph], Quantum Gases (cond-mat.quant-gas), Thermodynamics, FOS: Physical sciences, General Physics and Astronomy, [PHYS.COND]Physics [physics]/Condensed Matter [cond-mat], Condensed Matter - Quantum Gases, Quantum Physics (quant-ph), [PHYS.COND] Physics [physics]/Condensed Matter [cond-mat], [PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph]

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  • citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green
bronze
Funded by
ANR| ULNE
Project
ULNE
ULNE
  • Funder: French National Research Agency (ANR) (ANR)
  • Project Code: ANR-16-IDEX-0004
Related to Research communities
Neuroinformatics
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