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Volumn 66, Issue 2, 2002, Pages 1-9

Effects of chaotic energy-band transport on the quantized states of ultracold sodium atoms in an optical lattice with a tilted harmonic trap

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; BAND STRUCTURE; CHAOS THEORY; CRYSTAL LATTICES; CRYSTAL SYMMETRY; HAMILTONIANS; HARMONIC ANALYSIS; NUMERICAL ANALYSIS; SODIUM; TRANSPORT PROPERTIES;

EID: 84983699931     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.66.023407     Document Type: Article
Times cited : (22)

References (50)
  • 23
    • 0003470014 scopus 로고
    • note; (Holt, Rinehart, and Winston, New York), Chap. 12
    • The motion of atoms in an energy band is semiclassical because the effective classical equations of motion are derived by considering the response of a quantum-mechanical wave packet to force fields that are spatially slowly varying [see, for example, N. W. Ashcroft and N. D. Mermin, Solid State Physics (Holt, Rinehart, and Winston, New York, 1976), Chap. 12]. Henceforth, we refer to these equations of motion, and the trajectories that they produce, as simply classical.
    • (1976) Solid State Physics
    • Ashcroft, N.W.1    Mermin, N.D.2
  • 30
    • 84983712106 scopus 로고    scopus 로고
    • note
    • We consider sodium atoms, rather than the cesium atoms used in our previous work, because of their potential for future studies of Bose-Einstein condensates in an OL with a tilted harmonic trap.
  • 34
    • 84983712429 scopus 로고    scopus 로고
    • note
    • F.
  • 35
    • 84966503230 scopus 로고
    • edited by M. Abromowitz and I. A. Stegun (Dover, New York)
    • Handbook of Mathematical Functions, edited by M. Abromowitz and I. A. Stegun (Dover, New York, 1970).
    • (1970) Handbook of Mathematical Functions
  • 49
    • 84983707885 scopus 로고    scopus 로고
    • note
    • x/dt<0.
  • 50
    • 84983697240 scopus 로고    scopus 로고
    • note
    • We used the classical Hamiltonian Eq. (2) to determine the value of x in order to ensure that the Wigner functions shown in Figs. 7 and 8 are calculated over the same surface in phase space as the classical Poincaré sections shown in Fig. 4. This facilitates direct comparison of the classical and quantum results.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.