Universality in one-dimensional fermions at finite temperature: Density, pressure, compressibility, and contact

M. D. Hoffman; P. D. Javernick; A. C. Loheac; W. J. Porter; E. R. Anderson; J. E. Drut

doi:10.1103/physreva.91.033618

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arXiv · 1410.7370

Universality in one-dimensional fermions at finite temperature: Density, pressure, compressibility, and contact

M. D. Hoffman·P. D. Javernick·A. C. Loheac·W. J. Porter·E. R. Anderson·J. E. Drut

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Abstract

We present finite-temperature, lattice Monte Carlo calculations of the particle number density, compressibility, pressure, and Tan's contact of an unpolarized system of short-range, attractively interacting spin-1/2 fermions in one spatial dimension, i.e., the Gaudin-Yang model. In addition, we compute the second-order virial coefficients for the pressure and the contact, both of which are in excellent agreement with the lattice results in the low-fugacity regime. Our calculations yield universal predictions for ultracold atomic systems with broad resonances in highly constrained traps. We cover a wide range of couplings and temperatures and find results that support the existence of a strong-coupling regime in which the thermodynamics of the system is markedly different from the noninteracting case. We compare and contrast our results with identical systems in higher dimensions.

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BibTeX RIS

M. D. Hoffman, P. D. Javernick, A. C. Loheac, W. J. Porter, E. R. Anderson, J. E. Drut. 2015-03-17. Universality in one-dimensional fermions at finite temperature: Density, pressure, compressibility, and contact. https://doi.org/10.1103/physreva.91.033618

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