Highly polarized Fermi gases: One-dimensional case

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 4, 2009, Pages

  Giraud, S ^a   Combescot, R ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BINDING ENERGY; ELECTRON GAS; FERMIONS;

APPROXIMATE METHODS; APPROXIMATE RESULTS; APPROXIMATE TREATMENT; EFFECTIVE MASS; ONE DIMENSIONAL PROBLEMS; SINGLE PARTICLE; THREE DIMENSIONS; ZERO TEMPERATURES;

PROBLEM SOLVING;

EID: 65649117013     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.043615     Document Type: Article

References (17)

1. For a very recent review, see S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 80, 1215 (2008). 10.1103/RevModPhys.80.1215
2. J. B. McGuire, J. Math. Phys. 7, 123 (1966). 10.1063/1.1704798
3. M. Gaudin, Phys. Lett. 10.1016/0375-9601(67)90193-4 24A, 55 (1967).
4. M. Olshanii, Phys. Rev. Lett. 81, 938 (1998) 10.1103/PhysRevLett.81.938
5. T. Bergeman, M. G. Moore, and M. Olshanii, Phys. Rev. Lett. 91, 163201 (2003). 10.1103/PhysRevLett.91.163201
6. G. E. Astrakharchik, D. Blume, S. Giorgini, and L. P. Pitaevskii, Phys. Rev. Lett. 93, 050402 (2004) 10.1103/PhysRevLett.93.050402
7. J. N. Fuchs, A. Recati, and W. Zwerger, Phys. Rev. Lett. 93, 090408 (2004) 10.1103/PhysRevLett.93.090408
8. I. V. Tokatly, Phys. Rev. Lett. 93, 090405 (2004) 10.1103/PhysRevLett.93. 090405
9. C. Mora, A. Komnik, R. Egger, and A. O. Gogolin, Phys. Rev. Lett. 95, 080403 (2005). 10.1103/PhysRevLett.95.080403
10. C. Lobo, A. Recati, S. Giorgini, and S. Stringari, Phys. Rev. Lett. 97, 200403 (2006). 10.1103/PhysRevLett.97.200403
11. S. Pilati and S. Giorgini, Phys. Rev. Lett. 100, 030401 (2008). 10.1103/PhysRevLett.100.030401
12. F. Chevy, Phys. Rev. A 74, 063628 (2006). 10.1103/PhysRevA.74.063628
13. R. Combescot, A. Recati, C. Lobo, and F. Chevy, Phys. Rev. Lett. 98, 180402 (2007). 10.1103/PhysRevLett.98.180402
14. N. V. Prokof'ev and B. Svistunov, Phys. Rev. B 77, 020408 (R) (2008). 10.1103/PhysRevB.77.020408
15. N. V. Prokof'ev and B. V. Svistunov, Phys. Rev. B 77, 125101 (2008). 10.1103/PhysRevB.77.125101
16. R. Combescot and S. Giraud, Phys. Rev. Lett. 101, 050404 (2008). 10.1103/PhysRevLett.101.050404
17. At first this feature seems unphysical since it is apparently in violation of particle conservation. Actually one can see that for a finite system with size 2R, particle conservation is satisfied. However the oscillations around n, necessary for this conservation, occur for larger and larger distance from the origin when R grows. Hence they are not present at a finite distance in the thermodynamic limit R→.