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Volumn 81, Issue 5, 2010, Pages

Reentrant stability of Bose-Einstein-condensate standing-wave patterns

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATES; BOUND STATE; COHERENCE LENGTHS; DYNAMICAL STABILITY; EXTERNAL POTENTIAL; GENERAL TRENDS; GROSS-PITAEVSKII EQUATION; KINK STATE; POTENTIAL WELLS; SINGLE PARTICLE; SQUARE-WELL POTENTIALS; STANDING WAVE PATTERNS; THREE DIMENSIONS;

EID: 77953187107     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.053620     Document Type: Article
Times cited : (3)

References (29)
  • 1
    • 0034614716 scopus 로고    scopus 로고
    • SCIEAS 0036-8075 10.1126/science.287.5450.97
    • J. Denschlag, Science SCIEAS 0036-8075 10.1126/science.287.5450.97 287, 97 (2000).
    • (2000) Science , vol.287 , pp. 97
    • Denschlag, J.1
  • 2
    • 0035958641 scopus 로고    scopus 로고
    • SCIEAS 0036-8075 10.1126/science.1062527
    • Z. Dutton, M. Budde, C. Slowe, and L. V. Hau, Science SCIEAS 0036-8075 10.1126/science.1062527 293, 663 (2001).
    • (2001) Science , vol.293 , pp. 663
    • Dutton, Z.1    Budde, M.2    Slowe, C.3    Hau, L.V.4
  • 3
    • 84956260762 scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/30/1/008
    • C. Josserand and Y. Pomeau, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/30/1/008 30, 43 (1995).
    • (1995) Europhys. Lett. , vol.30 , pp. 43
    • Josserand, C.1    Pomeau, Y.2
  • 7
    • 77953193890 scopus 로고    scopus 로고
    • Quantum fluctuations will give a finite density at the nodal surfaces, so that a more correct statement would refer to a "nearly vanishing density."
    • Quantum fluctuations will give a finite density at the nodal surfaces, so that a more correct statement would refer to a "nearly vanishing density."
  • 9
    • 66249147569 scopus 로고    scopus 로고
    • A trap technology that provides a particularly promising environment for wave function engineering was recently reported in, NJOPFM 1367-2630 10.1088/1367-2630/11/4/043030
    • A trap technology that provides a particularly promising environment for wave function engineering was recently reported in K. Henderson, C. Ryu, C. MacCormick, and M. G. Boshier, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/4/043030 11, 043030 (2009).
    • (2009) New J. Phys. , vol.11 , pp. 043030
    • Henderson, K.1    Ryu, C.2    MacCormick, C.3    Boshier, M.G.4
  • 10
    • 33344472368 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.71.023606
    • P. Massignan, C. J. Pethick, and H. Smith, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.023606 71, 023606 (2005).
    • (2005) Phys. Rev. A , vol.71 , pp. 023606
    • Massignan, P.1    Pethick, C.J.2    Smith, H.3
  • 11
    • 69649108433 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.70.013608
    • G. E. Astrakharchik and L. P. Pitaevskii, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.013608 70, 013608 (2004).
    • (2004) Phys. Rev. A , vol.70 , pp. 013608
    • Astrakharchik, G.E.1    Pitaevskii, L.P.2
  • 12
    • 28844450156 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.95.145303
    • D. C. Roberts and Y. Pomeau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.145303 95, 145303 (2005).
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 145303
    • Roberts, D.C.1    Pomeau, Y.2
  • 13
    • 33744812437 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.96.210401
    • F. M. Cucchietti and E. Timmermans, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.210401 96, 210401 (2006).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 210401
    • Cucchietti, F.M.1    Timmermans, E.2
  • 14
    • 33645882232 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.73.043608
    • R. M. Kalas and D. Blume, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.043608 73, 043608 (2006).
    • (2006) Phys. Rev. A , vol.73 , pp. 043608
    • Kalas, R.M.1    Blume, D.2
  • 15
    • 0037179409 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.89.093001
    • R. Cote, V. Kharchenko, and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.093001 89, 093001 (2002).
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 093001
    • Cote, R.1    Kharchenko, V.2    Lukin, M.D.3
  • 16
    • 0002577434 scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.50.3650
    • S.-J. Sin, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.50.3650 50, 3650 (1994).
    • (1994) Phys. Rev. D , vol.50 , pp. 3650
    • Sin, S.-J.1
  • 17
    • 34548623343 scopus 로고    scopus 로고
    • PRVDAQ 1475-7508 10.1088/1475-7516/2007/06/025
    • C. G. Böhmer and T. Harko, J. Cosmol. Astropart. Phys. PRVDAQ 1475-7508 10.1088/1475-7516/2007/06/025 06 (2007) 025.
    • J. Cosmol. Astropart. Phys. , vol.2007 , Issue.6 , pp. 025
    • Böhmer, C.G.1    Harko, T.2
  • 18
    • 70249122725 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.103.111301
    • P. Sikivie and Q. Yang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.111301 103, 111301 (2009).
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 111301
    • Sikivie, P.1    Yang, Q.2
  • 19
    • 0035396370 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.64.012706
    • D. S. Petrov and G. V. Shlyapnikov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.012706 64, 012706 (2001).
    • (2001) Phys. Rev. A , vol.64 , pp. 012706
    • Petrov, D.S.1    Shlyapnikov, G.V.2
  • 20
    • 47749140681 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.80.885
    • I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.885 80, 885 (2008).
    • (2008) Rev. Mod. Phys. , vol.80 , pp. 885
    • Bloch, I.1    Dalibard, J.2    Zwerger, W.3
  • 21
    • 77953221118 scopus 로고    scopus 로고
    • The existence of nodal BEC solutions with j nodes at well depths shallower than that necessary for the existence of the noninteracting single particle bound state with j nodes is due to the presence of the BEC chemical potential creating an effectively deeper well.
    • The existence of nodal BEC solutions with j nodes at well depths shallower than that necessary for the existence of the noninteracting single particle bound state with j nodes is due to the presence of the BEC chemical potential creating an effectively deeper well.
  • 22
    • 77953186473 scopus 로고    scopus 로고
    • The reason that ΔF>0 for well depths near those where the nodal solutions first exist is related to the appearance of the nodal BEC solutions at well depths shallower than that for the corresponding noninteracting bound states, cf. [21].
    • The reason that Δ F > 0 for well depths near those where the nodal solutions first exist is related to the appearance of the nodal BEC solutions at well depths shallower than that for the corresponding noninteracting bound states, cf. [21].
  • 23
    • 0000053412 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.79.3553
    • Y. Castin and R. Dum, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.3553 79, 3553 (1997).
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 3553
    • Castin, Y.1    Dum, R.2
  • 24
    • 0003989585 scopus 로고    scopus 로고
    • A thorough analysis of the diagonalization of the L operator is given by, in edited by R. Kaiser, C. Westbrook, and F. David (Springer-Verlag, Berlin
    • A thorough analysis of the diagonalization of the L operator is given by Y. Castin, in Coherent Atomic Matter Waves, Lecture Notes of the Les Houches Summer School, edited by, R. Kaiser,,, C. Westbrook,, and, F. David, (Springer-Verlag, Berlin, 2001); and
    • (2001) Coherent Atomic Matter Waves
    • Castin, Y.1
  • 25
    • 77953211152 scopus 로고    scopus 로고
    • e-print arXiv: cond-mat/0105058
    • e-print arXiv: cond-mat/0105058.
  • 26
    • 77953227771 scopus 로고    scopus 로고
    • The L operator is actually not quite diagonalizable, as discussed in [24]. This problem can be remedied by introducing a projection operator that projects out the overlap of δ with o. However, the modified L operator has the same spectrum as the L operator, so the conclusions remain unaltered.
    • The L operator is actually not quite diagonalizable, as discussed in [24]. This problem can be remedied by introducing a projection operator that projects out the overlap of δ with o. However, the modified L operator has the same spectrum as the L operator, so the conclusions remain unaltered.
  • 27
    • 77953212282 scopus 로고    scopus 로고
    • Vm- goes to 0 for large distances and Vm+ goes to 2 since o2→1; thus the Vm- energy level passing through 0 corresponds to an unbinding transition while for Vm+ it does not.
    • V m - goes to 0 for large distances and V m + goes to 2 since o 2 → 1; thus the V m - energy level passing through 0 corresponds to an unbinding transition while for V m + it does not.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.