Compressibility and entropy of cold fermions in one dimensional optical lattices

Abstract

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.

9 pages and 11 figures. The published version

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Theory of ultracold Fermi gases
• Local quantum criticality in confined fermions on optical lattices
• Thermodynamics of the 3D Hubbard model on approach to the Neel transition
• Discerning Incompressible and Compressible Phases of Cold Atoms in Optical Lattices
• Signature of Mott-insulator transition with ultra-cold fermions in a one-dimensional optical lattice
• Phases of Bosons or Fermions in confined optical lattices

Cited by in corpus (6)

• Density Matrix Embedding from Broken Symmetry Lattice Mean-Fields
• Universal quantum behaviors of interacting fermions in 1D traps: from few particles to the trap thermodynamic limit
• Thermal versus Quantum Fluctuations of Optical Lattice Fermions
• Boson Core Compressibility
• Spin diffusion of lattice fermions in one dimension
• Polarization-induced phase separation and re-entrant transition of two component-fermions in a one-dimensional lattice