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Related Experiment Videos

Critical temperature shift in weakly interacting Bose gas.

V A Kashurnikov1, N V Prokof'ev, B V Svistunov

  • 1Moscow State Engineering Physics Institute, 115409 Moscow, Russia.

Physical Review Letters
|October 3, 2001
PubMed
Summary

This study quantifies the universal shift in the critical point for three-dimensional /psi/(4) theory, including quantum Bose gases. The findings provide a precise formula for predicting critical point shifts based on system parameters.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Field Theory

Background:

  • The critical point of many-body systems is sensitive to interactions.
  • Understanding these shifts is crucial for Bose-Einstein condensates and related phenomena.

Purpose of the Study:

  • To investigate the interaction-induced shift of the critical point in 3D /psi/(4) theory.
  • To derive a universal formula for this critical point shift.

Main Methods:

  • Utilized a high-performance Monte Carlo algorithm.
  • Studied the weakly interacting three-dimensional /psi/(4) theory, encompassing quantum Bose gas.

Main Results:

  • Determined the universal shift in critical density: Δn(c)(T) = -Cm(3)T(2)U.
  • Quantified the universal constant C = 0.0140 ± 0.0005.

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  • Derived the shift for quantum Bose gas: ΔT(c)/T(c) = C(0)an(1/3) with C(0) = 1.29 ± 0.05.

    • Conclusions:

    • The critical point shift is a universal property in this theory.
    • The derived formulas allow for quantitative predictions of critical point behavior.