Abstract
We have analytically explored finite size and interparticle interaction corrections to the average energy of a harmonically trapped Fermi gas below and above the Fermi temperature, and have obtained a better fitting for the excess energy reported by DeMarco and Jin [Science 285, 1703 (1999)]. We have presented a perturbative calculation within a mean field approximation.
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B. DeMarco, D.S. Jin, Science 285, 1703 (1999)
B. DeMarco, S.B. Papp, D.S. Jin, Phys. Rev. Lett. 86, 5409 (2001)
A.G. Truscott, K.E. Strecker, W.I. McAlexander, G.B. Partridge, R.G. Hulet, Science 291, 2570 (2001)
M.W. Zwierlein, J.R. Abo-Shaeer, A. Schirotzek, C.H. Schunck, W. Ketterle, Nature 435, 1047 (2005)
J. Kinast, A. Turlapov, J.E. Thomas, Q. Chen, J. Stajic, K. Levin, Science 307, 1296 (2005)
L. Luo, J.E. Thomas, J. Low Temp. Phys. 154, 1 (2009)
S. Nascimbne, N. Navon, K.J. Jiang, F. Chevy, C. Salomon, Nature 463, 1057 (2010)
S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 80, 1215 (2008)
T.D. Lee, C.N. Yang, Phys. Rev. 105, 1119 (1957)
V. Subrahmanyam, M. Barma, J. Phys. A: Math. Gen. 22, L489 (1989)
G. Su, L. Chen, J. Chen, Phys. Lett. A 326, 252 (2004)
S. Grossmann, M. Holthaus, Phys. Lett. A 208, 188 (1995)
W. Ketterle, How are Temperatures Close to Absolute Zero Achieved and Measured? (Scientific American, 2004)
T.-L. Ho, Phys. Rev. Lett. 92, 090402 (2004)
L.D. Carr, G.V. Shlyapnikov, Y. Castin, Phys. Rev. Lett. 92, 150404 (2004)
A. Perali, P. Pieri, L. Pisani, G.C. Strinati, Phys. Rev. Lett. 92, 220404 (2004)
Q. Chen, J. Stajic, K. Levin, Phys. Rev. Lett. 95, 260405 (2005)
A. Bulgac, J.E. Drut, P. Magierski, Phys. Rev. Lett. 99, 120401 (2007)
H. Hu, X.-J. Liu, P.D. Drummond, New J. Phys. 12, 063038 (2010)
L. Vichi, S. Stringari, Phys. Rev. A 60, 4734 (1999)
M. Amorusu, I. Meccoli, A. Minguzzi, M.P. Tosi, Eur. Phys. J. D 8, 361 (2000)
L. Salasnich, B. Pozzi, A. Parola, L. Reatto, J. Phys. B: At. Mol. Opt. Phys. 33, 3943 (2000)
S. Giorgini, L.P. Pitaevskii, S. Stringari, Phys. Rev. A 54, R4633 (1996)
S. Biswas, Eur. Phys. J. D 55, 653 (2009)
L.J. LeBlanc, J.H. Thywissen, A.A. Burkov, A. Paramekanti, Phys. Rev. A 80, 013607 (2009)
S. Biswas, Phys. Lett. A 372, 1574 (2008)
C. Raman, Private communication (2005)
A. Griesmaier, J. Werner, S. Hensler, J. Stuhler, T. Pfau, Phys. Rev. Lett. 94, 160401 (2005)
F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 71, 463 (1999)
R.K. Pathria, Statistical Mechanics, 2nd edn. (Butterworth-Heinemann, 1996),
A.L. Fetter, J.D. Walecka, Quantum Theory of Many-Particle Systems, 1st edn. (Dover Publications Inc., 2003)
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Biswas, S., Jana, D. & Manna, R. Excess energy of an ultracold Fermi gas in a trapped geometry. Eur. Phys. J. D 66, 217 (2012). https://doi.org/10.1140/epjd/e2012-30152-y
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DOI: https://doi.org/10.1140/epjd/e2012-30152-y