메뉴 건너뛰기




Volumn 77, Issue 3, 2008, Pages

Heteronuclear molecules in an optical lattice: Theory and experiment

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL LATTICES; DATA REDUCTION; MAGNETIC FIELDS; NATURAL FREQUENCIES; NUMERICAL METHODS; OPTICAL MATERIALS;

EID: 41549096966     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.032726     Document Type: Article
Times cited : (50)

References (64)
  • 2
    • 28844468440 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.72.033609
    • E. Pazy and A. Vardi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72. 033609 72, 033609 (2005)
    • (2005) Phys. Rev. A , vol.72 , pp. 033609
    • Pazy, E.1    Vardi, A.2
  • 3
    • 28844435018 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.72.051604
    • D.-W. Wang, M. D. Lukin, and E. Demler, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.051604 72, 051604 (R) (2005).
    • (2005) Phys. Rev. A , vol.72 , pp. 051604
    • Wang, D.-W.1    Lukin, M.D.2    Demler, E.3
  • 4
    • 0036702411 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.66.023605
    • L. Viverit, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.023605 66, 023605 (2002).
    • (2002) Phys. Rev. A , vol.66 , pp. 023605
    • Viverit, L.1
  • 5
    • 0345850094 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.61.053601
    • M. J. Bijlsma, B. A. Heringa, and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.053601 61, 053601 (2000).
    • (2000) Phys. Rev. A , vol.61 , pp. 053601
    • Bijlsma, M.J.1    Heringa, B.A.2    Stoof, H.T.C.3
  • 6
    • 0036537995 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.65.134519
    • D. V. Efremov and L. Viverit, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.134519 65, 134519 (2002).
    • (2002) Phys. Rev. B , vol.65 , pp. 134519
    • Efremov, D.V.1    Viverit, L.2
  • 7
    • 19544391621 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.93.090406
    • F. Illuminati and A. Albus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.090406 93, 090406 (2004).
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 090406
    • Illuminati, F.1    Albus, A.2
  • 8
    • 0242305014 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.91.130404
    • H. P. Büchler and G. Blatter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.130404 91, 130404 (2003).
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 130404
    • Büchler, H.P.1    Blatter, G.2
  • 12
    • 33750560420 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.97.180404
    • S. B. Papp and C. E. Wieman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.180404 97, 180404 (2006).
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 180404
    • Papp, S.B.1    Wieman, C.E.2
  • 16
    • 41549158110 scopus 로고    scopus 로고
    • note
    • We expect the pseudopotential model to be fairly accurate for the experimental parameters of Ref.. Indeed, even for large scattering lengths, this model is expected to become exact in the zero-range limit, that is, when 1/ ktyp max (β6, | re0 |). Here, ktyp is the typical wave number of the relative motion of the two atoms, β6 = (2μ C6 / 2) 1/4 is the van der Waals length scale, and re0: =- 2 μ abg ΔB Eres / B, Eres / B being the magnetic moment of the closed channel with respect to the two-atom open channel. For K-Rb in their ground state, β6 =7.6 nm. Using Eres / B= kB 144 μK/G, we get re0 =-4.6 nm. It remains to estimate ktyp. In the molecule regime, we have 1/ ktyp ∼ as >47 nm. In the other regimes (attractively and repulsively interacting atoms), we have 1/ ktyp ∼ arel. In the harmonic approximation for the experimental lattice depth arel =103 nm. Thus, the above inequality is fairly well satisfied.
  • 17
    • 41549103213 scopus 로고    scopus 로고
    • arXiv:cond-mat/0612613.
    • Y. Castin, e-print arXiv:cond-mat/0612613.
    • Castin, Y.1
  • 18
    • 0035331807 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.63.052704
    • A. Derevianko, J. F. Babb, and A. Dalgarno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.052704 63, 052704 (2001).
    • (2001) Phys. Rev. A , vol.63 , pp. 052704
    • Derevianko, A.1    Babb, J.F.2    Dalgarno, A.3
  • 19
    • 41549113699 scopus 로고    scopus 로고
    • A. Simoni (private communication).
    • Simoni, A.1
  • 22
    • 41549115348 scopus 로고    scopus 로고
    • note
    • We note that we neglect many low-energy basis states | N,L,0,0,0,0 with 2N+L> Πmax when the scattering length is small and positive as 0. These molecule states with highly excited center-of-mass energy have nevertheless low total energy since the energy of the relative motion is large and negative. We have included the states | N,L,0,0,0,0 with 2N+L≤ Πmax to allow for the flattening of the center of mass wave function due to the anharmonicity of the lattice site potential. However, we have neglected the states with 2N+L> Πmax since they are only weakly coupled to the states | 0,0,0,0,0,0 (molecule) and | 0,0,0,n=1,0,0 (repulsively interacting atoms of the decoupled problem). These matrix elements become even zero if 2N+L>p (p=1,...,8) since in this case the matrix elements 0,0,0,0,0,0 | Xp | N,L,0,0,0,0 and 0,0,0,1,0,0 | Xp | N,L,0,0,0,0 are exactly zero.
  • 28
    • 33845202266 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.78.1311
    • T. Köhler, K. Góral, and P. S. Julienne, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.1311 78, 1311 (2006).
    • (2006) Rev. Mod. Phys. , vol.78 , pp. 1311
    • Köhler, T.1    Góral, K.2    Julienne, P.S.3
  • 30
    • 41549114026 scopus 로고    scopus 로고
    • note
    • For the scattering length in the initial R 87 b | 1,1 K 40 | 9/2,-7/2 state in the considered magnetic field range 544G
  • 40
    • 18444390270 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.71.012708
    • D. S. Petrov, C. Salomon, and G. V. Shlyapnikov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.012708 71, 012708 (2005).
    • (2005) Phys. Rev. A , vol.71 , pp. 012708
    • Petrov, D.S.1    Salomon, C.2    Shlyapnikov, G.V.3
  • 41
    • 21044451898 scopus 로고    scopus 로고
    • JPAPEH 0953-4075 10.1088/0953-4075/38/9/014
    • D. S. Petrov, C. Salomon, and G. V. Shlyapnikov, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/38/9/014 38, S645 (2005).
    • (2005) J. Phys. B , vol.38 , pp. 645
    • Petrov, D.S.1    Salomon, C.2    Shlyapnikov, G.V.3
  • 42
  • 45
    • 1442331448 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.92.040403
    • C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.040403 92, 040403 (2004).
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 040403
    • Regal, C.A.1    Greiner, M.2    Jin, D.S.3
  • 53
    • 0036542087 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.65.043613
    • D. Blume and C. H. Greene, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043613 65, 043613 (2002).
    • (2002) Phys. Rev. A , vol.65 , pp. 043613
    • Blume, D.1    Greene, C.H.2
  • 54
    • 0036655484 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.66.013403
    • E. L. Bolda, E. Tiesinga, and P. S. Julienne, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.013403 66, 013403 (2002).
    • (2002) Phys. Rev. A , vol.66 , pp. 013403
    • Bolda, E.L.1    Tiesinga, E.2    Julienne, P.S.3
  • 55
    • 33746874153 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.74.022712
    • Z. Idziaszek and T. Calarco, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.022712 74, 022712 (2006).
    • (2006) Phys. Rev. A , vol.74 , pp. 022712
    • Idziaszek, Z.1    Calarco, T.2
  • 56
    • 11444254122 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.93.143201
    • D. S. Petrov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93. 143201 93, 143201 (2004).
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 143201
    • Petrov, D.S.1
  • 58
    • 33144474643 scopus 로고    scopus 로고
    • For an equivalent energy-independent formulation of such a model, see PLRAAN 1050-2947 10.1103/PhysRevA.73.012701
    • For an equivalent energy-independent formulation of such a model, see L. Pricoupenko, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.012701 73, 012701 (2006).
    • (2006) Phys. Rev. A , vol.73 , pp. 012701
    • Pricoupenko, L.1
  • 60
    • 28844438958 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.72.053625
    • D. B. M. Dickerscheid and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.053625 72, 053625 (2005)
    • (2005) Phys. Rev. A , vol.72 , pp. 053625
    • Dickerscheid, D.B.M.1    Stoof, H.T.C.2
  • 61
    • 33748656333 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/8/8/151
    • K. B. Gubbels, D. B. M. Dickerscheid, and H. T. C. Stoof, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/8/151 8, 151 (2006), and references therein.
    • (2006) New J. Phys. , vol.8 , pp. 151
    • Gubbels, K.B.1    Dickerscheid, D.B.M.2    Stoof, H.T.C.3
  • 62
    • 27144474994 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.72.022714
    • M. Stoll and T. Köhler, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.022714 72, 022714 (2005).
    • (2005) Phys. Rev. A , vol.72 , pp. 022714
    • Stoll, M.1    Köhler, T.2
  • 63
    • 33749624515 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.97.150401
    • F. Werner and Y. Castin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.150401 97, 150401 (2006).
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 150401
    • Werner, F.1    Castin, Y.2
  • 64
    • 41549105263 scopus 로고    scopus 로고
    • VFG-150, a FPGA-driven fast versatile frequency generator, controlled via an USB2.0 interface and developed by Th. Hannemann in the group of C. Wunderlich, University of Siegen, Germany.
    • VFG-150, a FPGA-driven fast versatile frequency generator, controlled via an USB2.0 interface and developed by Th. Hannemann in the group of C. Wunderlich, University of Siegen, Germany.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.