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Volumn 77, Issue 2, 2008, Pages

Localization and delocalization of ultracold bosonic atoms in finite optical lattices

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; ELECTRON TRANSITIONS; EXCITED STATES; LASER OPTICS; MOLECULAR ORBITALS; OPTICAL CORRELATION;

EID: 40749127112     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.023620     Document Type: Article
Times cited : (22)

References (30)
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    • A. J. Leggett, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.307 73, 307 (2001).
    • (2001) Rev. Mod. Phys. , vol.73 , pp. 307
    • Leggett, A.J.1
  • 18
    • 40749152443 scopus 로고    scopus 로고
    • The confining potential V(x)=I V0x (2kx nÏ€) 2 continues the periodic potential at "x"= x0, where n is the number of sites. The potential is continuously differentiable which determines I (1) and x0 (naa 2).
    • The confining potential V(x)=I V0x (2kx nÏ€) 2 continues the periodic potential at "x"= x0, where n is the number of sites. The potential is continuously differentiable which determines I (1) and x0 (naa 2).
  • 19
    • 40749139590 scopus 로고    scopus 로고
    • We used up to 100 000 basis states and parity conservation if applicable including the formed Bloch bands and the lowest “continuuma states (bound states in the confinement).
    • We used up to 100 000 basis states and parity conservation if applicable including the formed Bloch bands and the lowest “continuuma states (bound states in the confinement).
  • 20
    • 40749109518 scopus 로고    scopus 로고
    • The first excited state 1 ="1, 1= bs basa "0 remains unchanged and the second excited state is given by 2 =cos I"2,0 +sin "0,2=atan[(I+I 2 + I2) I].
    • The first excited state 1 ="1, 1= bs basa "0 remains unchanged and the second excited state is given by 2 =cos I"2,0 +sin "0,2=atan[(I+I 2 + I2) I].
  • 21
    • 12344325605 scopus 로고    scopus 로고
    • APNYA6 0003-4916 10.1016/j.aop.2004.09.010
    • D. Jaksch and P. Zoller, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/j.aop.2004.09.010 315, 52 (2005).
    • (2005) Ann. Phys. (N.Y.) , vol.315 , pp. 52
    • Jaksch, D.1    Zoller, P.2
  • 22
    • 40749087801 scopus 로고    scopus 로고
    • We can confirm the experimental observation and the calculation in Ref. also by the diagonalization of several bosons on a single site. The on-site energy U of filling factor I=5 is, e.g., roughly 17% smaller than for I =1 at V0 =30 ER.
    • We can confirm the experimental observation and the calculation in Ref. also by the diagonalization of several bosons on a single site. The on-site energy U of filling factor I =5 is, e.g., roughly 17% smaller than for I =1 at V0 =30 ER.
  • 24
    • 0038514134 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.67.031602
    • R. Roth and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.031602 67, 031602 (R) (2003).
    • (2003) Phys. Rev. A , vol.67 , pp. 031602
    • Roth, R.1    Burnett, K.2
  • 25
    • 40749151622 scopus 로고    scopus 로고
    • The density on one site corresponds to the density of a single particle in a single-sited cos2 potential, but deviates slightly from the harmonic approach.
    • The density on one site corresponds to the density of a single particle in a single-sited cos2 potential, but deviates slightly from the harmonic approach.
  • 26
  • 27
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    • PRBMDO 0163-1829 10.1103/PhysRevB.59.12184
    • N. Elstner and H. Monien, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.12184 59, 12184 (1999).
    • (1999) Phys. Rev. B , vol.59 , pp. 12184
    • Elstner, N.1    Monien, H.2
  • 28
    • 40749105438 scopus 로고    scopus 로고
    • Additional information can be obtained from the pair correlation function G2 (x, x) in deep lattices with one particle fixed in the middle of a specific site. As seen before, the correlation vanishes at that site for filling factor I =1. For noninteger filling (6N 9) the height of the correlation function varies for each site. Thus, regarding the integer number of particles, at least some particles must be delocalized between the sites.
    • Additional information can be obtained from the pair correlation function G2 (x, x) in deep lattices with one particle fixed in the middle of a specific site. As seen before, the correlation vanishes at that site for filling factor I =1. For noninteger filling (6N 9) the height of the correlation function varies for each site. Thus, regarding the integer number of particles, at least some particles must be delocalized between the sites.
  • 29
    • 40749161043 scopus 로고    scopus 로고
    • The first and second excited state, the third and fourth excited state as well as the sixth and seventh excited state are exactly degenerate.
    • The first and second excited state, the third and fourth excited state as well as the sixth and seventh excited state are exactly degenerate.


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