Abstract
We present a theory for the low-temperature properties of a resonantly interacting Fermi mixture in a trap, that goes beyond the local-density approximation. The theory corresponds essentially to a Landau–Ginzburg-like approach that includes self-energy effects to account for the strong interactions at unitarity. We show diagrammatically how these self-energy effects arise from fluctuations in the superfluid order parameter. Gradient terms of the order parameter are included to account for inhomogeneities. This approach incorporates the state-of-the-art knowledge of the homogeneous mixture with a population imbalance exactly and gives good agreement with the experimental density profiles of Shin et al. (Nature 451:689 (2008)). This allows us to calculate the universal surface tension of the interface between the equal-density superfluid and the partially polarized normal state of the mixture. We also discuss the possibility of a metastable state to explain the deformation of the superfluid core that is seen in the experiment of Partridge et al. (Science 311:503 (2006)).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Zwierlein, M.W., Schirotzek, A., Schunck, C.H., Ketterle, W.: Science 311, 492 (2006)
Partridge, G.B., Li, W., Kamar, R.I., Liao, Y.a., Hulet, R.G.: Science 311, 503 (2006)
Shin, Y., Schunck, C., Schirotzek, A., Ketterle, W.: Nature 451, 689 (2008)
Fetter, A.L.: Phys. Rev. B 14, 2801 (1976)
Karlhede, A., Kivelson, S.A., Lejnell, K., Sondhi, S.L.: Phys. Rev. Lett. 77, 2061 (1996)
Partridge, G.B., Li, W., Liao, Y.A., Hulet, R.G., Haque, M., Stoof, H.T.C.: Phys. Rev. Lett. 97, 190407 (2006)
Sarma, G.: J. Phys. Chem. Solids 24, 1029 (1963)
Combescot, R., Mora, C.: Europhys. Lett. 68, 79 (2004)
Parish, M.M., Marchetti, F.M., Lamacraft, A., Simons, B.D.: Nat. Phys. 3, 124 (2007)
Gubbels, K.B., Romans, M.W.J., Stoof, H.T.C.: Phys. Rev. Lett. 97, 210402 (2006)
Gubbels, K.B., Stoof, H.T.C.: Phys. Rev. Lett. 100, 140407 (2008)
De Silva, T.N., Mueller, E.J.: Phys. Rev. Lett. 97, 070402 (2006)
Haque, M., Stoof, H.T.C.: Phys. Rev. Lett. 98, 260406 (2007)
Baksmaty, L.O., Hong Lu, H.P., Bolech, C.J.: Phys. Rev. A 83, 023604 (2011)
Stoof, H.T.C., Gubbels, K.B., Dickerscheid, D.B.M.: Ultracold quantum fields. Theoretical and Mathematical Physics. Springer, Dordrecht (2009)
Burovski, E., Prokof’ev, N., Svistunov, B., Troyer, M.: Phys. Rev. Lett. 96, 160402 (2006)
Lobo, C., Recativ, A., Giorgini, S., Stringari, S.: Phys. Rev. Lett. 97, 200403 (2006)
Chevy, F.: Phys. Rev. A 74, 063628 (2006)
Combescot, R., Recati, A., Lobo, C., Chevy, F.v: Phys. Rev. Lett. 98, 180402 (2007)
Bulgac, A., Forbes, M.: Phys. Rev. Lett. 101, 215301 (2008)
Diederix, J.M., Gubbels, K.B., Stoof, H.T.C.: arXiv:0907.0127 (2009)
Carlson, J., Reddy, S.: Phys. Rev. Lett. 100, 150403 (2008)
Carlson, J., Reddy, S.: Phys. Rev. Lett. 95, 060401 (2005)
McMillan, W.L.: Phys. Rev. 175, 559 (1968)
Gubbels, K.B., Baarsma, J.E., Stoof, H.T.C.: Phys. Rev. Lett. 103, 195301 (2009)
Stoof, H.T.C.: Phys. Rev. B 47, 7979 (1993)
Baur, S.K., Basu, S., De Silva, T.N., Mueller, E.J.: Phys. Rev. A 79, 063628 (2009)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Diederix, J.M., Stoof, H.T.C. (2012). Thermodynamics of Trapped Imbalanced Fermi Gases at Unitarity. In: Zwerger, W. (eds) The BCS-BEC Crossover and the Unitary Fermi Gas. Lecture Notes in Physics, vol 836. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21978-8_13
Download citation
DOI: https://doi.org/10.1007/978-3-642-21978-8_13
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21977-1
Online ISBN: 978-3-642-21978-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)