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Volumn 80, Issue 5, 2009, Pages

Finite-temperature dynamics of a single vortex in a Bose-Einstein condensate: Equilibrium precession and rotational symmetry breaking

Author keywords

[No Author keywords available]

Indexed keywords

STATISTICAL MECHANICS; VORTEX FLOW;

EID: 74549190462     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.053624     Document Type: Review
Times cited : (21)

References (114)
  • 45
    • 84920427777 scopus 로고    scopus 로고
    • note
    • The projected field ψ(x) is thus not strictly a field in the traditional sense [44]; however, we will retain the usage of the term in this work.
  • 55
    • 84920396248 scopus 로고    scopus 로고
    • note
    • We note that geometry and projector definition of [35] yield a conserved angular momentum about the x axis; however, any nonzero angular momenta in the fields evolved in that work were incidental, and of essentially negligible magnitude, as noted by the authors of that paper.
  • 56
    • 84920443465 scopus 로고    scopus 로고
    • note
    • z to the single-particle Hamiltonian [113] serves only to ensure that the rotating-frame equations of motion faithfully describe the same dynamics as the fundamental inertial-frame equations.
  • 59
    • 84920396449 scopus 로고    scopus 로고
    • Ph.D. thesis, University of Oxford, Oxford, UK
    • M. J. Davis, Ph.D. thesis, University of Oxford, Oxford, UK, 2001.
    • (2001)
    • Davis, M.J.1
  • 60
    • 84920369140 scopus 로고    scopus 로고
    • note
    • In practice, we average momentum-space densities taken over consecutive 10 cycle periods. Aside from fluctuations close to the origin k = 0 arising from the vortex precession, we observe the densities to settle to their (fluctuating) values well before t =9000 cyc.
  • 61
    • 84920364459 scopus 로고    scopus 로고
    • note
    • We use the peak density of our principal ground state to estimate the healing length η.
  • 64
    • 84920447119 scopus 로고    scopus 로고
    • note
    • v} before calculating the power spectrum presented in Fig. 2(b).
  • 66
    • 84920472178 scopus 로고    scopus 로고
    • note
    • This property of the many-body system persists in the classical-field model [67], but note, however, the effect of the projector on large dipole oscillations [58].
  • 68
    • 84920368311 scopus 로고    scopus 로고
    • note
    • Vortices may of course occur in all such simulations; we use the phrase "vortex free" here to refer to simulations in which any appearance of vortices is incidental and sufficiently transient as to not affect the statistics under consideration significantly.
  • 73
  • 75
    • 0003653383 scopus 로고
    • edited by C. DeWitt, A. Blandin, and C. Cohen-Tannoudji Gordon and Breach, New York
    • R. J. Glauber, in Quantum Optics and Electronics, edited by C. DeWitt, A. Blandin, and C. Cohen-Tannoudji (Gordon and Breach, New York, 1965).
    • (1965) Quantum Optics and Electronics
    • Glauber, R.J.1
  • 77
    • 84920480594 scopus 로고    scopus 로고
    • note
    • We adopt here the convention for Bogoliubov-mode component labeling of [47,78].
  • 83
    • 84920488836 scopus 로고    scopus 로고
    • note
    • 4(x) have the form of vortex modes with charges q=+3 and q=-1, respectively. These circulations correspond, respectively, to those of the u and v ( components of the linear excitation of the GP vortex with angular momentum m =+2 relative to the GP state [84].
  • 86
    • 84920474135 scopus 로고    scopus 로고
    • note
    • ij [35].
  • 89
    • 84920486697 scopus 로고    scopus 로고
    • note
    • Note that the Goldstone mode only happens to be the second most highly occupied mode in the present case as its spurious "population" is larger than that of all other noncondensate modes.
  • 91
    • 84920389226 scopus 로고    scopus 로고
    • note
    • It could indeed be said that this is the definitive distinction of interpretation between the time-dependent GP theory and the time-dependent classical-field theory.
  • 93
    • 84920411086 scopus 로고    scopus 로고
    • unpublished
    • T. M. Wright et al. (unpublished).
    • Wright, T.M.1
  • 94
    • 84920404782 scopus 로고    scopus 로고
    • note
    • cin an effective least-squares sense [95].
  • 95
    • 84920434217 scopus 로고    scopus 로고
    • private communication
    • C. Fox (private communication).
    • Fox, C.1
  • 96
    • 84920449162 scopus 로고    scopus 로고
    • note
    • iθ) is also broken by any condensate mode that forms. This symmetry is of course the classical precursor to the so-called gauge symmetry associated with particle-number conservation in the corresponding secondquantized field theory [88]. However, the global phase of the classical field has no effect on the density-matrix calculations we perform here.
  • 101
    • 84920484480 scopus 로고    scopus 로고
    • note
    • 0 (x) as comprising the noncondensate field here.
  • 106
    • 84920454119 scopus 로고    scopus 로고
    • note
    • r, which we associate with a persistent dipole excitation of the field.
  • 109
    • 84920491921 scopus 로고    scopus 로고
    • note
    • 0 dominates to such an extent that this is of no concern for the indicative representation we seek here.
  • 111
    • 84920410436 scopus 로고    scopus 로고
    • Ph.D. thesis, Victoria University of Wellington
    • A. S. Bradley, Ph.D. thesis, Victoria University of Wellington, 2006.
    • (2006)
    • Bradley, A.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.