2011/01/19 by Kangjun Seo, Seo, Kangjun, C. A. R. Sá de Melo +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum many-body systems #cond-mat.quant-gas
paper · pdf · doi:10.48550/arxiv.1101.3610
4 pages, 3 figures
openalex publication_date 2011/01/19 · arxiv created 2011/10/18 · arxiv updated 2011/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe the relation between the isothermal atomic compressibility and density fluctuations in mixtures of two-component fermions with population or mass imbalance. We derive a generalized version of the fluctuation-dissipation theorem which is valid for both balanced and imbalanced Fermi-Fermi mixtures. Furthermore, we show that the compressibility, its critical exponents, and phase boundaries can be extracted via an analysis of the density fluctuations as a function of population imbalance, interaction parameter or temperature. Lastly, we demonstrate that in the presence of trapping potentials, the local compressibility and local density-density correlations can be extracted via a generalized fluctuation-dissipation theorem valid within the local density approximation.