Finite temperature contact for SU(2) fermions trapped in a 1D harmonic confinement

Abstract

We calculate the finite-temperature Tan's contact for N SU(2) fermions, characterized by repulsive contact interaction, trapped in a 1D harmonic confinement within a local density approximation on top of a thermodynamic Bethe Ansatz. The Tan's contact for such a system, as in the homogeneous case, displays a minimum at a very low temperature. By means of an exact canonical ensemble calculation for two fermions, we provide an explicit formula for the contact at very low temperatures that reveals that the minimum is due to the mixing of states with different exchange symmetries. In the unitary regime, this symmetry blending corresponds to a maximal entanglement entropy.

arXiv comment8 pages, 6 figures

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Cited by in corpus (6)

• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures
• Exact solution for $SU(2)$-symmetry breaking bosonic mixtures at strong interactions
• Unconventional pairing in few-fermion systems at finite temperature
• Critical behavior of Tan's contact for bosonic systems with a fixed chemical potential
• Numerical methods and analytic results for one-dimensional strongly interacting spinor gases