Compressibility and entropy of cold fermions in one-dimensional optical lattices

Andrew Snyder, Iori Tanabe, Theja De Silva

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We calculate several thermodynamic quantities for repulsively interacting one-dimensional fermions. We solve the Hubbard model at both zero and finite temperatures using the Bethe-ansatz method. For arbitrary values of the chemical potential, we calculate the particle number density, the double occupancy, various compressibilities, and the entropy as a function of temperature and interaction. We find that these thermodynamic quantities show a characteristic behavior so that measurements of these quantities can be used as a detection of temperature, the metal-insulator transition, and metallic and insulating phases in the trap environment. Further, we discuss an experimental scheme to extract these thermodynamic quantities from the column density profiles. The entropy and the compressibility of the entire trapped atomic cloud also reveal characteristic features indicating whether insulating and/or metallic phases coexist in the trap.

Original languageEnglish (US)
Article number063632
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number6
StatePublished - Jun 28 2011
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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