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February 24, 2026Open Access

A Two-Field Lagrangian Formulation of Coupled Condensate-Thermal Dynamics in Bose-Einstein Condensates

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LLohithLLohith

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Overview

This research reformulates the dynamics of Bose-Einstein condensates, revealing impacts of temperature gradients on spatial displacement.

Key Points

  • The aim is to reformulate coupled dynamics of a Bose-Einstein condensate and thermal clouds using a two-field Lagrangian framework.
  • Develop a two-field Lagrangian formulation for condensate and thermal dynamics.
  • Utilize Euler–Lagrange equations to ensure momentum conservation.
  • Implement a collective-coordinate reduction to relate to Newton's second law.
  • In the presence of temperature gradients, the model predicts a measurable relative displacement between condensate and thermal cloud.
  • For a $^{87}$Rb BEC, the predicted relative displacement is approximately 10 µm for specified conditions.

Cite This Study

Lohith et al. (2026) studied this question.

synapsesocial.com/papers/699d405ade8e28729cf6551fhttps://doi.org/10.5281/zenodo.18733062
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