Contact in the Unitary Fermi Gas across the Superfluid Phase Transition
Abstract
A quantity known as the contact is a fundamental thermodynamic property of quantum many-body systems with short-range interactions. Determination of the temperature dependence of the contact for the unitary Fermi gas of infinite scattering length has been a major challenge, with different calculations yielding qualitatively different results. Here we use finite-temperature auxiliary-field quantum Monte Carlo (AFMC) methods on the lattice within the canonical ensemble to calculate the temperature dependence of the contact for the homogeneous spin-balanced unitary Fermi gas. We extrapolate to the continuum limit for 40, 66, and 114 particles, eliminating systematic errors due to finite-range effects. We observe a dramatic decrease in the contact as the superfluid critical temperature is approached from below, followed by a gradual weak decrease as the temperature increases in the normal phase. Our theoretical results are in excellent agreement with the most recent precision ultracold atomic gas experiments. Here, we also present results for the energy as a function of temperature in the continuum limit.
- Authors:
-
[1];
[2];
[1]
- Yale University, New Haven, CT (United States)
- Central Washington University, Ellensburg, WA (United States); Honeywell Quantum Solutions, Broomfield, CO (United States)
- Publication Date:
- Research Org.:
- Yale Univ., New Haven, CT (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1644301
- Grant/Contract Number:
- SC0019521; FG02-91ER40608; FG02-00ER41132; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 125; Journal Issue: 4; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; Fermi gases; Cold atoms; Superfluidity; Critical phenomena; Cold atoms & matter waves; Fermionic condensates; Thermodynamics
Citation Formats
Jensen, S., Gilbreth, C. N., and Alhassid, Y. Contact in the Unitary Fermi Gas across the Superfluid Phase Transition. United States: N. p., 2020.
Web. doi:10.1103/physrevlett.125.043402.
Jensen, S., Gilbreth, C. N., & Alhassid, Y. Contact in the Unitary Fermi Gas across the Superfluid Phase Transition. United States. https://doi.org/10.1103/physrevlett.125.043402
Jensen, S., Gilbreth, C. N., and Alhassid, Y. Wed .
"Contact in the Unitary Fermi Gas across the Superfluid Phase Transition". United States. https://doi.org/10.1103/physrevlett.125.043402. https://www.osti.gov/servlets/purl/1644301.
@article{osti_1644301,
title = {Contact in the Unitary Fermi Gas across the Superfluid Phase Transition},
author = {Jensen, S. and Gilbreth, C. N. and Alhassid, Y.},
abstractNote = {A quantity known as the contact is a fundamental thermodynamic property of quantum many-body systems with short-range interactions. Determination of the temperature dependence of the contact for the unitary Fermi gas of infinite scattering length has been a major challenge, with different calculations yielding qualitatively different results. Here we use finite-temperature auxiliary-field quantum Monte Carlo (AFMC) methods on the lattice within the canonical ensemble to calculate the temperature dependence of the contact for the homogeneous spin-balanced unitary Fermi gas. We extrapolate to the continuum limit for 40, 66, and 114 particles, eliminating systematic errors due to finite-range effects. We observe a dramatic decrease in the contact as the superfluid critical temperature is approached from below, followed by a gradual weak decrease as the temperature increases in the normal phase. Our theoretical results are in excellent agreement with the most recent precision ultracold atomic gas experiments. Here, we also present results for the energy as a function of temperature in the continuum limit.},
doi = {10.1103/physrevlett.125.043402},
journal = {Physical Review Letters},
number = 4,
volume = 125,
place = {United States},
year = {Wed Jul 22 00:00:00 EDT 2020},
month = {Wed Jul 22 00:00:00 EDT 2020}
}
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Works referencing / citing this record:
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