Free energy of a dilute Bose gas: Lower bound

R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.


Journal Article | Published
Abstract
A lower bound is derived on the free energy (per unit volume) of a homogeneous Bose gas at density Q and temperature T. In the dilute regime, i.e., when a3 1, where a denotes the scattering length of the pair-interaction potential, our bound differs to leading order from the expression for non-interacting particles by the term 4πa(2 2}-[ - c]2+). Here, c(T) denotes the critical density for Bose-Einstein condensation (for the non-interacting gas), and [ · ]+ = max{ ·, 0} denotes the positive part. Our bound is uniform in the temperature up to temperatures of the order of the critical temperature, i.e., T ~ 2/3 or smaller. One of the key ingredients in the proof is the use of coherent states to extend the method introduced in [17] for estimating correlations to temperatures below the critical one.
Publishing Year
Date Published
2008-05-01
Journal Title
Communications in Mathematical Physics
Volume
279
Issue
3
Page
595 - 636
IST-REx-ID

Cite this

Seiringer R. Free energy of a dilute Bose gas: Lower bound. Communications in Mathematical Physics. 2008;279(3):595-636. doi:10.1007/s00220-008-0428-2
Seiringer, R. (2008). Free energy of a dilute Bose gas: Lower bound. Communications in Mathematical Physics, 279(3), 595–636. https://doi.org/10.1007/s00220-008-0428-2
Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” Communications in Mathematical Physics 279, no. 3 (2008): 595–636. https://doi.org/10.1007/s00220-008-0428-2.
R. Seiringer, “Free energy of a dilute Bose gas: Lower bound,” Communications in Mathematical Physics, vol. 279, no. 3, pp. 595–636, 2008.
Seiringer R. 2008. Free energy of a dilute Bose gas: Lower bound. Communications in Mathematical Physics. 279(3), 595–636.
Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” Communications in Mathematical Physics, vol. 279, no. 3, Springer, 2008, pp. 595–636, doi:10.1007/s00220-008-0428-2.

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