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Volumn 70, Issue 3, 2004, Pages

Time-dependent density-functional theory for trapped strongly interacting fermionic atoms

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DATA REDUCTION; FREQUENCIES; GAS CONDENSATES; HAMILTONIANS; HYDRODYNAMICS; INTEGRATION; KINETIC ENERGY; MONTE CARLO METHODS; PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION;

EID: 19644400804     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.033612     Document Type: Article
Times cited : (144)

References (68)
  • 12
    • 85015715545 scopus 로고    scopus 로고
    • Hui Hu, A. Minguzzi, Xia-Ji Liu, and M. P. Tosi, e-print cond-mat/0404012
    • Hui Hu, A. Minguzzi, Xia-Ji Liu, and M. P. Tosi, e-print cond-mat/0404012.
  • 16
    • 0037185386 scopus 로고    scopus 로고
    • A. Bulgac and Y. Yu, Phys. Rev. Lett. 88, 042504 (2002); 91, 190404 (2003); A. Bulgac, Phys. Rev. C 65, 051305 (2002); Y. Yu and Bulgac, Phys. Rev. Lett. 90, 222501 (2003); 90, 161101 (2003).
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 042504
    • Bulgac, A.1    Yu, Y.2
  • 17
    • 0346846622 scopus 로고    scopus 로고
    • A. Bulgac and Y. Yu, Phys. Rev. Lett. 88, 042504 (2002); 91, 190404 (2003); A. Bulgac, Phys. Rev. C 65, 051305 (2002); Y. Yu and Bulgac, Phys. Rev. Lett. 90, 222501 (2003); 90, 161101 (2003).
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 190404
  • 18
    • 4243482433 scopus 로고    scopus 로고
    • A. Bulgac and Y. Yu, Phys. Rev. Lett. 88, 042504 (2002); 91, 190404 (2003); A. Bulgac, Phys. Rev. C 65, 051305 (2002); Y. Yu and Bulgac, Phys. Rev. Lett. 90, 222501 (2003); 90, 161101 (2003).
    • (2002) Phys. Rev. C , vol.65 , pp. 051305
    • Bulgac, A.1
  • 19
    • 0037777667 scopus 로고    scopus 로고
    • A. Bulgac and Y. Yu, Phys. Rev. Lett. 88, 042504 (2002); 91, 190404 (2003); A. Bulgac, Phys. Rev. C 65, 051305 (2002); Y. Yu and Bulgac, Phys. Rev. Lett. 90, 222501 (2003); 90, 161101 (2003).
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 222501
    • Yu, Y.1    Bulgac, A.2
  • 20
    • 0037527541 scopus 로고    scopus 로고
    • A. Bulgac and Y. Yu, Phys. Rev. Lett. 88, 042504 (2002); 91, 190404 (2003); A. Bulgac, Phys. Rev. C 65, 051305 (2002); Y. Yu and Bulgac, Phys. Rev. Lett. 90, 222501 (2003); 90, 161101 (2003).
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 161101
  • 21
    • 3342958596 scopus 로고    scopus 로고
    • L. N. Oliveira, E. K. U. Gross, and W. Kohn, Phys. Rev. Lett. 60, 2430 (1988); S. Kurth, M. Marques, M. Lüders, and E. K. U. Gross, ibid. 83, 2628 (1999); E. K. U. Gross, M. Marques, M. Lüders, and L. Fast, in Density Functional Theory and its Application to Materials, edited by V. Van Doren et al., AIP Conf. Proc. No. 577 (AIP, Melville, 2001), p. 177.
    • (1988) Phys. Rev. Lett. , vol.60 , pp. 2430
    • Oliveira, L.N.1    Gross, E.K.U.2    Kohn, W.3
  • 22
    • 0032606244 scopus 로고    scopus 로고
    • L. N. Oliveira, E. K. U. Gross, and W. Kohn, Phys. Rev. Lett. 60, 2430 (1988); S. Kurth, M. Marques, M. Lüders, and E. K. U. Gross, ibid. 83, 2628 (1999); E. K. U. Gross, M. Marques, M. Lüders, and L. Fast, in Density Functional Theory and its Application to Materials, edited by V. Van Doren et al., AIP Conf. Proc. No. 577 (AIP, Melville, 2001), p. 177.
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 2628
    • Kurth, S.1    Marques, M.2    Lüders, M.3    Gross, E.K.U.4
  • 23
    • 3342958596 scopus 로고    scopus 로고
    • Density functional theory and its application to materials
    • edited by V. Van Doren et al., AIP, Melville
    • L. N. Oliveira, E. K. U. Gross, and W. Kohn, Phys. Rev. Lett. 60, 2430 (1988); S. Kurth, M. Marques, M. Lüders, and E. K. U. Gross, ibid. 83, 2628 (1999); E. K. U. Gross, M. Marques, M. Lüders, and L. Fast, in Density Functional Theory and its Application to Materials, edited by V. Van Doren et al., AIP Conf. Proc. No. 577 (AIP, Melville, 2001), p. 177.
    • (2001) AIP Conf. Proc. No. 577 , vol.577 , pp. 177
    • Gross, E.K.U.1    Marques, M.2    Lüders, M.3    Fast, L.4
  • 26
    • 0141680438 scopus 로고    scopus 로고
    • and references therein
    • V. G. Kartavenko, K. A. Gridnev, J. Maruhn, and W. Greiner, Phys. At. Nucl. 66, 1439 (2003), and references therein; P. K. Achorya, L. S. Bartolotti, S. B. Sears, and R. G. Parr, Proc. Natl. Acad. Sci. U.S.A. 77, 6978 (1980); J. L. Gasquez and J. Rolles, J. Chem. Phys. 76, 1467 (1982).
    • (2003) Phys. At. Nucl. , vol.66 , pp. 1439
    • Kartavenko, V.G.1    Gridnev, K.A.2    Maruhn, J.3    Greiner, W.4
  • 27
    • 0001574402 scopus 로고
    • V. G. Kartavenko, K. A. Gridnev, J. Maruhn, and W. Greiner, Phys. At. Nucl. 66, 1439 (2003), and references therein; P. K. Achorya, L. S. Bartolotti, S. B. Sears, and R. G. Parr, Proc. Natl. Acad. Sci. U.S.A. 77, 6978 (1980); J. L. Gasquez and J. Rolles, J. Chem. Phys. 76, 1467 (1982).
    • (1980) Proc. Natl. Acad. Sci. U.S.A. , vol.77 , pp. 6978
    • Achorya, P.K.1    Bartolotti, L.S.2    Sears, S.B.3    Parr, R.G.4
  • 28
    • 0000213632 scopus 로고
    • V. G. Kartavenko, K. A. Gridnev, J. Maruhn, and W. Greiner, Phys. At. Nucl. 66, 1439 (2003), and references therein; P. K. Achorya, L. S. Bartolotti, S. B. Sears, and R. G. Parr, Proc. Natl. Acad. Sci. U.S.A. 77, 6978 (1980); J. L. Gasquez and J. Rolles, J. Chem. Phys. 76, 1467 (1982).
    • (1982) J. Chem. Phys. , vol.76 , pp. 1467
    • Gasquez, J.L.1    Rolles, J.2
  • 29
    • 84885108673 scopus 로고
    • B. M. Deb and S. K. Ghosh, Int. J. Quantum Chem. 23, 1 (1983); B. M. Deb and P. K. Chattaraj, Phys. Rev. A 39, 1696 (1989); B. M. Deb, P. K. Chattaraj, and S. Mishra, ibid. 43, 1248 (1991); R. Singh and B. M. Deb, Phys. Rep. 311, 47 (1999).
    • (1983) Int. J. Quantum Chem. , vol.23 , pp. 1
    • Deb, B.M.1    Ghosh, S.K.2
  • 30
    • 0001402738 scopus 로고
    • B. M. Deb and S. K. Ghosh, Int. J. Quantum Chem. 23, 1 (1983); B. M. Deb and P. K. Chattaraj, Phys. Rev. A 39, 1696 (1989); B. M. Deb, P. K. Chattaraj, and S. Mishra, ibid. 43, 1248 (1991); R. Singh and B. M. Deb, Phys. Rep. 311, 47 (1999).
    • (1989) Phys. Rev. A , vol.39 , pp. 1696
    • Deb, B.M.1    Chattaraj, P.K.2
  • 31
    • 0010963123 scopus 로고
    • B. M. Deb and S. K. Ghosh, Int. J. Quantum Chem. 23, 1 (1983); B. M. Deb and P. K. Chattaraj, Phys. Rev. A 39, 1696 (1989); B. M. Deb, P. K. Chattaraj, and S. Mishra, ibid. 43, 1248 (1991); R. Singh and B. M. Deb, Phys. Rep. 311, 47 (1999).
    • (1991) Phys. Rev. A , vol.43 , pp. 1248
    • Deb, B.M.1    Chattaraj, P.K.2    Mishra, S.3
  • 32
    • 0000766905 scopus 로고    scopus 로고
    • B. M. Deb and S. K. Ghosh, Int. J. Quantum Chem. 23, 1 (1983); B. M. Deb and P. K. Chattaraj, Phys. Rev. A 39, 1696 (1989); B. M. Deb, P. K. Chattaraj, and S. Mishra, ibid. 43, 1248 (1991); R. Singh and B. M. Deb, Phys. Rep. 311, 47 (1999).
    • (1999) Phys. Rep. , vol.311 , pp. 47
    • Singh, R.1    Deb, B.M.2
  • 33
    • 85015776830 scopus 로고    scopus 로고
    • note
    • The only difference from equations holding for bosons [23,24] is given by density dependence of (n). We do not consider three-body recombinations, since these processes play an important role near p-wave two-body Feshbach resonance [25].
  • 37
    • 34250934748 scopus 로고
    • W. Lenz, Z. Phys. 56, 778 (1929); K. Huang and C. N. Yang, Phys. Rev. 105, 767 (1957); T. D. Lee and C. N. Yang, ibid. 105, 1119 (1957); V. N. Efimov and M. Ya. Amus'ya, Zh. Eksp. Teor. Fiz. 47, 581 (1964) [Sov. Phys. JETP 20, 388 (1965)].
    • (1929) Z. Phys. , vol.56 , pp. 778
    • Lenz, W.1
  • 38
    • 36149014437 scopus 로고
    • W. Lenz, Z. Phys. 56, 778 (1929); K. Huang and C. N. Yang, Phys. Rev. 105, 767 (1957); T. D. Lee and C. N. Yang, ibid. 105, 1119 (1957); V. N. Efimov and M. Ya. Amus'ya, Zh. Eksp. Teor. Fiz. 47, 581 (1964) [Sov. Phys. JETP 20, 388 (1965)].
    • (1957) Phys. Rev. , vol.105 , pp. 767
    • Huang, K.1    Yang, C.N.2
  • 39
    • 36149022282 scopus 로고
    • W. Lenz, Z. Phys. 56, 778 (1929); K. Huang and C. N. Yang, Phys. Rev. 105, 767 (1957); T. D. Lee and C. N. Yang, ibid. 105, 1119 (1957); V. N. Efimov and M. Ya. Amus'ya, Zh. Eksp. Teor. Fiz. 47, 581 (1964) [Sov. Phys. JETP 20, 388 (1965)].
    • (1957) Phys. Rev. , vol.105 , pp. 1119
    • Lee, T.D.1    Yang, C.N.2
  • 40
    • 34250934748 scopus 로고
    • W. Lenz, Z. Phys. 56, 778 (1929); K. Huang and C. N. Yang, Phys. Rev. 105, 767 (1957); T. D. Lee and C. N. Yang, ibid. 105, 1119 (1957); V. N. Efimov and M. Ya. Amus'ya, Zh. Eksp. Teor. Fiz. 47, 581 (1964) [Sov. Phys. JETP 20, 388 (1965)].
    • (1964) Zh. Eksp. Teor. Fiz. , vol.47 , pp. 581
    • Efimov, V.N.1    Amus'ya, M.Ya.2
  • 41
    • 34250934748 scopus 로고
    • W. Lenz, Z. Phys. 56, 778 (1929); K. Huang and C. N. Yang, Phys. Rev. 105, 767 (1957); T. D. Lee and C. N. Yang, ibid. 105, 1119 (1957); V. N. Efimov and M. Ya. Amus'ya, Zh. Eksp. Teor. Fiz. 47, 581 (1964) [Sov. Phys. JETP 20, 388 (1965)].
    • (1965) Sov. Phys. JETP , vol.20 , pp. 388
  • 43
    • 18344406086 scopus 로고    scopus 로고
    • G. A. Baker, Jr., Int. J. Mod. Phys. B 15, 1314 (2001); Phys. Rev. C 60, 054311 (1999)
    • (1999) Phys. Rev. C , vol.60 , pp. 054311
  • 45
    • 0002851701 scopus 로고
    • edited by A. Pekalski and R. Przystawa, of Lecture Notes in Physics Springer-Verlag, Berlin
    • A. J. Leggett, in Modern Trends in the Theory of Condensed Matter, edited by A. Pekalski and R. Przystawa, Vol. 115 of Lecture Notes in Physics (Springer-Verlag, Berlin, 1980), pp. 13-27; P. Nozières and S. Schmitt-Rink, J. Low Temp. Phys. 59, 195 (1985).
    • (1980) Modern Trends in the Theory of Condensed Matter , vol.115 , pp. 13-27
    • Leggett, A.J.1
  • 46
    • 0022061752 scopus 로고
    • A. J. Leggett, in Modern Trends in the Theory of Condensed Matter, edited by A. Pekalski and R. Przystawa, Vol. 115 of Lecture Notes in Physics (Springer-Verlag, Berlin, 1980), pp. 13-27; P. Nozières and S. Schmitt-Rink, J. Low Temp. Phys. 59, 195 (1985).
    • (1985) J. Low Temp. Phys. , vol.59 , pp. 195
    • Nozières, P.1    Schmitt-Rink, S.2
  • 48
    • 85015759989 scopus 로고    scopus 로고
    • D. S. Petrov, C. Salomon, and G. V. Shlyapnikov, e-print cond-mat/0309010
    • D. S. Petrov, C. Salomon, and G. V. Shlyapnikov, e-print cond-mat/0309010.
  • 51
    • 0000937733 scopus 로고
    • V. R. Pandharipande, Nucl. Phys. A174, 641 (1971); S. Cowel, H. Heiselberg, I. E. Morales, V. R. Pandharipande, and C. J. Pethick, Phys. Rev. Lett. 88, 210403 (2002); H. Heiselberg, J. Phys. B 37, S141 (2004); H. Heiselberg, e-print cond-mat/0403041.
    • (1971) Nucl. Phys. , vol.A174 , pp. 641
    • Pandharipande, V.R.1
  • 53
    • 8644240569 scopus 로고    scopus 로고
    • V. R. Pandharipande, Nucl. Phys. A174, 641 (1971); S. Cowel, H. Heiselberg, I. E. Morales, V. R. Pandharipande, and C. J. Pethick, Phys. Rev. Lett. 88, 210403 (2002); H. Heiselberg, J. Phys. B 37, S141 (2004); H. Heiselberg, e-print cond-mat/0403041.
    • (2004) J. Phys. B , vol.37 S141
    • Heiselberg, H.1
  • 54
    • 85015726462 scopus 로고    scopus 로고
    • H. Heiselberg, e-print cond-mat/0403041
    • V. R. Pandharipande, Nucl. Phys. A174, 641 (1971); S. Cowel, H. Heiselberg, I. E. Morales, V. R. Pandharipande, and C. J. Pethick, Phys. Rev. Lett. 88, 210403 (2002); H. Heiselberg, J. Phys. B 37, S141 (2004); H. Heiselberg, e-print cond-mat/0403041.
  • 55
    • 85015788250 scopus 로고    scopus 로고
    • note
    • 4/3/4 1.08169 (relative error is less than 0.3%).
  • 57
    • 85015767277 scopus 로고    scopus 로고
    • note
    • We have used the data from Ref. [38] to convert a to B. We note here that in general a Feshbach resonance may lead to the density dependence of the effective interaction (for bosons cases see, for example, Refs. [39,40]). In Ref. [41], the resonant position was accurately determined to be 8223 G.
  • 60
    • 85015755309 scopus 로고    scopus 로고
    • V. A. Yurovsky, e-print cond-mat/0308465
    • V. A. Yurovsky, e-print cond-mat/0308465.
  • 63
    • 85015780596 scopus 로고    scopus 로고
    • G. E. Astrakharchik, D. Blume, S. Giorgini, and L. P. Pitaevskii, e-print cond-mat/0312538
    • A. Recall, P. O. Fedichev, W. Zwerger, and P. Zoller, Phys. Rev. Lett. 90, 020401 (2003); G. E. Astrakharchik, D. Blume, S. Giorgini, and L. P. Pitaevskii, e-print cond-mat/0312538.
  • 67
    • 85015797815 scopus 로고    scopus 로고
    • G. E. Astrakharchik, J. Boronat, J. Casulleras, and S. Giorgini, e-print cond-mat/0406113
    • G. E. Astrakharchik, J. Boronat, J. Casulleras, and S. Giorgini, e-print cond-mat/0406113; S. Y. Chang, V. R. Pandharipande, J. Carlson, and K. E. Schmidt, e-print physics/0404115.
  • 68
    • 85015762903 scopus 로고    scopus 로고
    • S. Y. Chang, V. R. Pandharipande, J. Carlson, and K. E. Schmidt, e-print physics/0404115
    • G. E. Astrakharchik, J. Boronat, J. Casulleras, and S. Giorgini, e-print cond-mat/0406113; S. Y. Chang, V. R. Pandharipande, J. Carlson, and K. E. Schmidt, e-print physics/0404115.


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