메뉴 건너뛰기




Volumn 81, Issue 2, 2010, Pages

Metastable quantum phase transitions in a periodic one-dimensional Bose gas. II. Many-body theory

Author keywords

[No Author keywords available]

Indexed keywords

BETHE ANSATZ; BOSE GAS; BOSON FERMIONS; EXACT DIAGONALIZATION; MANY-BODY THEORY; MEAN FIELD ANALYSIS; PHYSICAL MEANINGS; QUANTUM PHASE TRANSITIONS; QUANTUM SOLITON; STRONG INTERACTION; TYPE II;

EID: 77649094384     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.023625     Document Type: Article
Times cited : (81)

References (48)
  • 5
    • 41949104712 scopus 로고    scopus 로고
    • APNYA6 0003-4916 10.1016/j.aop.2007.06.011
    • M. A. Caprio, P. Cejnar, and F. Iachello, Ann. Phys. APNYA6 0003-4916 10.1016/j.aop.2007.06.011 323, 1106 (2008).
    • (2008) Ann. Phys. , vol.323 , pp. 1106
    • Caprio, M.A.1    Cejnar, P.2    Iachello, F.3
  • 6
    • 26344439240 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.130.1605
    • E. H. Lieb and W. Liniger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.130.1605 130, 1605 (1963).
    • (1963) Phys. Rev. , vol.130 , pp. 1605
    • Lieb, E.H.1    Liniger, W.2
  • 8
    • 33645828819 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.73.041606 (R)
    • A. S. Arnold, C. S. Garvie, and E. Riis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.041606 73, 041606 (R) (2006).
    • (2006) Phys. Rev. A , vol.73 , pp. 041606
    • Arnold, A.S.1    Garvie, C.S.2    Riis, E.3
  • 12
    • 4143101239 scopus 로고    scopus 로고
    • SCIEAS 0036-8075 10.1126/science.1100700
    • T. Kinoshita, T. Wenger, and D. Weiss, Science SCIEAS 0036-8075 10.1126/science.1100700 305, 1125 (2004).
    • (2004) Science , vol.305 , pp. 1125
    • Kinoshita, T.1    Wenger, T.2    Weiss, D.3
  • 13
    • 36849136337 scopus 로고
    • NY JMAPAQ 0022-2488 10.1063/1.1703687
    • M. Girardeau, J. Math. Phys. (NY) JMAPAQ 0022-2488 10.1063/1.1703687 1, 516 (1960).
    • (1960) J. Math. Phys. , vol.1 , pp. 516
    • Girardeau, M.1
  • 15
    • 40749087159 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.100.060401
    • R. Kanamoto, L. D. Carr, and M. Ueda, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.060401 100, 060401 (2008).
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 060401
    • Kanamoto, R.1    Carr, L.D.2    Ueda, M.3
  • 16
    • 67149096439 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.79.063616
    • R. Kanamoto, L. D. Carr, and M. Ueda, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.063616 79, 063616 (2009).
    • (2009) Phys. Rev. A , vol.79 , pp. 063616
    • Kanamoto, R.1    Carr, L.D.2    Ueda, M.3
  • 19
    • 70349780599 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.103.140403
    • R. V. Mishmash and L. D. Carr, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.140403 103, 140403 (2009).
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 140403
    • Mishmash, R.V.1    Carr, L.D.2
  • 21
    • 0001203988 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.83.5412
    • G. F. Bertsch and T. Papenbrock, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.5412 83, 5412 (1999).
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 5412
    • Bertsch, G.F.1    Papenbrock, T.2
  • 22
    • 0001614996 scopus 로고    scopus 로고
    • NATUAS 0028-0836 10.1038/16865
    • D. A. Butts and D. S. Rokhsar, Nature NATUAS 0028-0836 10.1038/16865 397, 327 (1999).
    • (1999) Nature , vol.397 , pp. 327
    • Butts, D.A.1    Rokhsar, D.S.2
  • 23
    • 36149006296 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.130.1616
    • E. H. Lieb, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.130.1616 130, 1616 (1963).
    • (1963) Phys. Rev. , vol.130 , pp. 1616
    • Lieb, E.H.1
  • 24
    • 13544268232 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.40.854
    • Y. Lai and H. A. Haus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40. 854 40, 854 (1989).
    • (1989) Phys. Rev. A , vol.40 , pp. 854
    • Lai, Y.1    Haus, H.A.2
  • 25
    • 36049053467 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.164.498
    • J. S. Langer and V. Ambegaokar, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.164.498 164, 498 (1967).
    • (1967) Phys. Rev. , vol.164 , pp. 498
    • Langer, J.S.1    Ambegaokar, V.2
  • 26
    • 36049056636 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.156.396
    • W. A. Little, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.156.396 156, 396 (1967).
    • (1967) Phys. Rev. , vol.156 , pp. 396
    • Little, W.A.1
  • 27
    • 33749536309 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.7.46
    • N. Byers and C. N. Yang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.7.46 7, 46 (1961).
    • (1961) Phys. Rev. Lett. , vol.7 , pp. 46
    • Byers, N.1    Yang, C.N.2
  • 29
    • 0009122443 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.7.2187
    • F. Bloch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.7.2187 7, 2187 (1973).
    • (1973) Phys. Rev. A , vol.7 , pp. 2187
    • Bloch, F.1
  • 30
    • 0001648258 scopus 로고
    • JUPSAU 0031-9015 10.1143/JPSJ.49.1242
    • M. Ishikawa and H. Takayama, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.49.1242 49, 1242 (1980).
    • (1980) J. Phys. Soc. Jpn. , vol.49 , pp. 1242
    • Ishikawa, M.1    Takayama, H.2
  • 31
    • 0001258860 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.40.844
    • Y. Lai and H. A. Haus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40. 844 40, 844 (1989).
    • (1989) Phys. Rev. A , vol.40 , pp. 844
    • Lai, Y.1    Haus, H.A.2
  • 32
    • 0003398364 scopus 로고
    • 2nd ed. (Academic Press Inc., San Diego, CA)
    • G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic Press Inc., San Diego, CA, 1995).
    • (1995) Nonlinear Fiber Optics
    • Agrawal, G.P.1
  • 33
    • 77649167220 scopus 로고    scopus 로고
    • note
    • In the medium- to strongly interacting regime, a soliton no longer has the same meaning as the weakly interacting regime, since the coherent matter wave does not exist. Out of the mean-field regime we therefore use interchangeably the term yrast state or quantum soliton, as explained in the text.
  • 35
    • 0001465051 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.81.938
    • M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.938 81, 938 (1998).
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 938
    • Olshanii, M.1
  • 38
    • 84862038497 scopus 로고
    • 0368-3893 10.1051/jphystap:019140040017700
    • G. Sagnac, J. Phys. Theor. Appl. 0368-3893 10.1051/jphystap: 019140040017700 4, 177 (1914).
    • (1914) J. Phys. Theor. Appl. , vol.4 , pp. 177
    • Sagnac, G.1
  • 39
    • 0042407578 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.62.063610
    • L. D. Carr, C. W. Clark, and W. P. Reinhardt, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.063610 62, 063610 (2000).
    • (2000) Phys. Rev. A , vol.62 , pp. 063610
    • Carr, L.D.1    Clark, C.W.2    Reinhardt, W.P.3
  • 40
    • 77649162131 scopus 로고    scopus 로고
    • note
    • The convergence is better for (i) a larger number of atoms, (ii) lower eigenvalues, and (iii) smaller strength of interaction. Figure 7 indicates that for N = 10 and up to the yrast states | L | = 2 N, the deviation of the exact diagonalization results from the Bethe ansatz results starts to emerge for g 1 D 1. The results for N = 40 in this section has, in general, better agreement with the rigorous results.
  • 42
    • 19644401553 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.70.032101
    • E. D. Davis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.032101 70, 032101 (2004).
    • (2004) Phys. Rev. A , vol.70 , pp. 032101
    • Davis, E.D.1
  • 45
    • 1442298890 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.1704156
    • J. B. McGuire, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1704156 5, 622 (1964).
    • (1964) J. Math. Phys. , vol.5 , pp. 622
    • McGuire, J.B.1
  • 46
    • 33144456901 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.73.023612
    • A. Y. Cherny and J. Brand, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.023612 73, 023612 (2006)
    • (2006) Phys. Rev. A , vol.73 , pp. 023612
    • Cherny, A.Y.1    Brand, J.2
  • 47
    • 65549156194 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.79.043607
    • A. Y. Cherny and J. Brand, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.043607 79, 043607 (2009).
    • (2009) Phys. Rev. A , vol.79 , pp. 043607
    • Cherny, A.Y.1    Brand, J.2
  • 48
    • 37649016852 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.76.063620
    • A. G. Sykes, P. D. Drummond, and M. J. Davis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.063620 76, 063620 (2007).
    • (2007) Phys. Rev. A , vol.76 , pp. 063620
    • Sykes, A.G.1    Drummond, P.D.2    Davis, M.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.