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Collapse transition in mixtures of bosons and fermions

2004/04/14 by S. T. Chui, V. N. Ryzhov · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics

paper · doi:10.1103/physreva.69.043607

openalex publication_date 2004/04/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For mixtures of Bose and Fermi alkali-metal atoms, the fermion degrees of freedom can be integrated out in their finite temperature partition function. The final result can be expanded as a power series in the boson density. Under appropriate conditions, the pairwise interaction between the bosons can be changed from positive to negative by the fermion-mediated term at a low enough temperature. The boson cloud may then collapse. For attractive fermion-boson interactions, there is also a collapse of the fermion cloud. This transition is first order (discontinuous) because the leading-order nonlinear interaction term between the bosons is third order in boson density with a negative coefficient. We discuss the finite-temperature phase diagram of this transition. Our result may provide for an explanation of recent experimental observations by Modugno and co-workers.

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