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  • Open Access

Coarsening of binary Bose superfluids: An effective theory

Elisabeth Gliott, Clara Piekarski, and Nicolas Cherroret*

  • Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, Collège de France, 4 Place Jussieu, 75005 Paris, France

  • *Contact author: nicolas.cherroret@lkb.upmc.fr
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Phys. Rev. Research 7, 033189 – Published 25 August, 2025

DOI: https://doi.org/10.1103/2rqw-prly

Abstract

We derive an effective equation of motion for binary Bose mixtures, which generalizes the Cahn-Hilliard description of classical binary fluids to superfluid systems. Within this approach, based on a microscopic Hamiltonian formulation, we show that the domain growth law L(t)∼t2/3 observed in superfluid mixtures is not driven by hydrodynamic flows, but arises from the competition between interactions and quantum pressure. The effective theory allows us to derive key properties of superfluid coarsening, including domain growth and Porod’s laws. This provides a new theoretical framework for understanding phase separation in superfluid mixtures.

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Phys. Rev. Research 7, 033189– Published 25 August, 2025
  • Received 16 April 2025
  • Accepted 30 July 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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