dorsal/arxiv
View SchemaQuantum Monte Carlo Studies of Superfluid Fermi Gases
| Authors | S. Y. Chang, J. Carlson, V. R. Pandharipande, K. E. Schmidt |
|---|---|
| Categories | |
| ArXiv ID | physics/0404115 |
| URL | https://arxiv.org/abs/physics/0404115 |
| DOI | 10.1103/PhysRevA.70.043602 |
| Journal | Phys.Rev.A70:043602,2004 |
Abstract
We report results of quantum Monte Carlo calculations of the ground state of dilute Fermi gases with attractive short range two-body interactions. The strength of the interaction is varied to study different pairing regimes which are characterized by the product of the s-wave scattering length and the Fermi wave vector, $ak_F$. We report results for the ground state energy, the pairing gap $\Delta$ and the quasiparticle spectrum. In the weak coupling regime, $1/ak_F < -1$, we obtain BCS superfluid and the energy gap $\Delta$ is much smaller than the Fermi gas energy $E_{FG}$. When $ a > 0$, the interaction is strong enough to form bound molecules with energy $E_{mol}$. For $1/ak_F \gtrsim 0.5$ we find that weakly interacting composite bosons are formed in the superfluid gas with $\Delta$ and gas energy per particle approaching $|E_{mol}|/2$. In this region we seem to have Bose-Einstein condensation (BEC) of molecules. The behavior of the energy and the gap in the BCS to BEC transition region, $-0.5 < 1/ak_F < 0.5$ is discussed.
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"abstract": "We report results of quantum Monte Carlo calculations of the ground state of\ndilute Fermi gases with attractive short range two-body interactions. The\nstrength of the interaction is varied to study different pairing regimes which\nare characterized by the product of the s-wave scattering length and the Fermi\nwave vector, $ak_F$. We report results for the ground state energy, the pairing\ngap $\\Delta$ and the quasiparticle spectrum. In the weak coupling regime,\n$1/ak_F \u003c -1$, we obtain BCS superfluid and the energy gap $\\Delta$ is much\nsmaller than the Fermi gas energy $E_{FG}$.\n When $ a \u003e 0$, the interaction is strong enough to form bound molecules with\nenergy $E_{mol}$. For $1/ak_F \\gtrsim 0.5$ we find that weakly interacting\ncomposite bosons are formed in the superfluid gas with $\\Delta$ and gas energy\nper particle approaching $|E_{mol}|/2$. In this region we seem to have\nBose-Einstein condensation (BEC) of molecules. The behavior of the energy and\nthe gap in the BCS to BEC transition region, $-0.5 \u003c 1/ak_F \u003c 0.5$ is\ndiscussed.",
"arxiv_id": "physics/0404115",
"authors": [
"S. Y. Chang",
"J. Carlson",
"V. R. Pandharipande",
"K. E. Schmidt"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.70.043602",
"journal_ref": "Phys.Rev.A70:043602,2004",
"title": "Quantum Monte Carlo Studies of Superfluid Fermi Gases",
"url": "https://arxiv.org/abs/physics/0404115"
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