메뉴 건너뛰기




Volumn 284, Issue 2, 2008, Pages 459-479

The Lieb-Liniger model as a limit of dilute bosons in three dimensions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 54049087752     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-008-0521-6     Document Type: Article
Times cited : (33)

References (29)
  • 1
    • 0034239021 scopus 로고    scopus 로고
    • Atoms in Strong Magnetic Fields: The High Field Limit at Fixed Nuclear Charge
    • B. Baumgartner J.P. Solovej J. Yngvason 2000 Atoms in Strong Magnetic Fields: The High Field Limit at Fixed Nuclear Charge Commun. Math. Phys. 212 703 724
    • (2000) Commun. Math. Phys. , vol.212 , pp. 703-724
    • Baumgartner, B.1    Solovej, J.P.2    Yngvason, J.3
  • 2
    • 0344468061 scopus 로고    scopus 로고
    • Atom-Atom Scattering under Cylindrical Harmonic Confinement: Numerical and Analytic Studies of the Confinement Induced Resonance
    • T. Bergeman M.G. Moore M. Olshanii 2003 Atom-Atom Scattering under Cylindrical Harmonic Confinement: Numerical and Analytic Studies of the Confinement Induced Resonance Phys. Rev. Lett. 91 163201
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 163201
    • Bergeman, T.1    Moore, M.G.2    Olshanii, M.3
  • 4
    • 33645659217 scopus 로고    scopus 로고
    • Effective Hamiltonians for atoms in very strong magnetic fields
    • Brummelhuis, R., Duclos, P.: Effective Hamiltonians for atoms in very strong magnetic fields. J. Math. Phys. 47, 033501 (2006);
    • (2006) J. Math. Phys. , vol.47 , pp. 033501
    • Brummelhuis, R.1    Duclos, P.2
  • 5
    • 33645697899 scopus 로고    scopus 로고
    • On the One-Dimensional Behaviour of Atoms in Intense Homogeneous Magnetic Fields
    • Germany, Demuth, M., Schulze, B.-W. (eds.), Basel: Birkhäuser
    • On the One-Dimensional Behaviour of Atoms in Intense Homogeneous Magnetic Fields. In: Partial Differential Equations and Spectral Theory, PDE2000 Conference in Clausthal, Germany, Demuth, M., Schulze, B.-W. (eds.), Basel: Birkhäuser 2001, pp. 25-35
    • (2001) Partial Differential Equations and Spectral Theory, PDE2000 Conference in Clausthal , pp. 25-35
  • 6
    • 37649030128 scopus 로고    scopus 로고
    • Observation of Phase Fluctuations in Elongated Bose-Einstein Condensates
    • S. Dettmer 2001 Observation of Phase Fluctuations in Elongated Bose-Einstein Condensates Phys. Rev. Lett. 87 160406
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 160406
    • Dettmer, S.1
  • 7
    • 0035844613 scopus 로고    scopus 로고
    • Bosons in Cigar-Shaped Traps: Thomas-Fermi Regime, Tonks- Girardeau Regime, and in between
    • V. Dunjko V. Lorent M. Olshanii 2001 Bosons in Cigar-Shaped Traps: Thomas-Fermi Regime, Tonks- Girardeau Regime, and In Between Phys. Rev. Lett. 86 5413 5416
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 5413-5416
    • Dunjko, V.1    Lorent, V.2    Olshanii, M.3
  • 8
    • 33645663403 scopus 로고    scopus 로고
    • Observations of Density Fluctuations in an Elongated Bose Gas: Ideal Gas and Quasicondensate Regimes
    • J. Esteve 2006 Observations of Density Fluctuations in an Elongated Bose Gas: Ideal Gas and Quasicondensate Regimes Phys. Rev. Lett. 96 130403
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 130403
    • Esteve, J.1
  • 9
    • 36849136337 scopus 로고
    • Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension
    • M. Girardeau 1960 Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension J. Math. Phys. 1 516 523
    • (1960) J. Math. Phys. , vol.1 , pp. 516-523
    • Girardeau, M.1
  • 10
    • 45849154820 scopus 로고    scopus 로고
    • Lieb Mode in a Quasi-One-Dimensional Bose-Einstein Condensate of Atoms
    • A.D. Jackson G.M. Kavoulakis 2002 Lieb Mode in a Quasi-One-Dimensional Bose-Einstein Condensate of Atoms Phys. Rev. Lett. 89 070403
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 070403
    • Jackson, A.D.1    Kavoulakis, G.M.2
  • 11
    • 4143101239 scopus 로고    scopus 로고
    • Observation of a One-Dimensional Tonks-Girardeau Gas
    • T. Kinoshita T. Wenger D.S. Weiss 2004 Observation of a One-Dimensional Tonks-Girardeau Gas Science 305 1125 1128
    • (2004) Science , vol.305 , pp. 1125-1128
    • Kinoshita, T.1    Wenger, T.2    Weiss, D.S.3
  • 12
    • 36149006296 scopus 로고
    • Exact Analysis of an Interacting Bose Gas. II. the Excitation Spectrum
    • E.H. Lieb 1963 Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum Phys. Rev. 130 1616 1624
    • (1963) Phys. Rev. , vol.130 , pp. 1616-1624
    • Lieb, E.H.1
  • 13
    • 26344439240 scopus 로고
    • Exact Analysis of an Interacting Bose Gas. I. the General Solution and the Ground State
    • E.H. Lieb W. Liniger 1963 Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State Phys. Rev. 130 1605 1616
    • (1963) Phys. Rev. , vol.130 , pp. 1605-1616
    • Lieb, E.H.1    Liniger, W.2
  • 15
    • 33645966684 scopus 로고    scopus 로고
    • The Mathematics of the Bose Gas and its Condensation
    • Basel-Boston: Birkhäuser
    • Lieb, E.H., Seiringer, R., Solovej, J.P., Yngvason, J.: The Mathematics of the Bose Gas and its Condensation. Oberwolfach Seminars, Vol. 34, Basel-Boston: Birkhäuser 2005
    • (2005) Oberwolfach Seminars , vol.34
    • Lieb, E.H.1    Seiringer, R.2    Solovej, J.P.3    Yngvason, J.4
  • 16
    • 0347107495 scopus 로고    scopus 로고
    • Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
    • E.H. Lieb R. Seiringer J. Yngvason 2000 Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional Phys. Rev. A. 61 043602
    • (2000) Phys. Rev. A. , vol.61 , pp. 043602
    • Lieb, E.H.1    Seiringer, R.2    Yngvason, J.3
  • 17
    • 0942277916 scopus 로고    scopus 로고
    • One-dimensional Bosons in Three-dimensional Traps
    • E.H. Lieb R. Seiringer J. Yngvason 2003 One-dimensional Bosons in Three-dimensional Traps Phys. Rev. Lett. 91 150401
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 150401
    • Lieb, E.H.1    Seiringer, R.2    Yngvason, J.3
  • 18
    • 0842281986 scopus 로고    scopus 로고
    • One-Dimensional Behavior of Dilute, Trapped Bose Gases
    • E.H. Lieb R. Seiringer J. Yngvason 2004 One-Dimensional Behavior of Dilute, Trapped Bose Gases Commun. Math. Phys. 244 347 393
    • (2004) Commun. Math. Phys. , vol.244 , pp. 347-393
    • Lieb, E.H.1    Seiringer, R.2    Yngvason, J.3
  • 19
    • 0000945157 scopus 로고    scopus 로고
    • Ground State Energy of the Low Density Bose Gas
    • E.H. Lieb J. Yngvason 1998 Ground State Energy of the Low Density Bose Gas Phys. Rev. Lett. 80 2504 2507
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 2504-2507
    • Lieb, E.H.1    Yngvason, J.2
  • 22
    • 0001465051 scopus 로고    scopus 로고
    • Atomic Scattering in the Presence of an External Confinement and a Gas of Impenetrable Bosons
    • M. Olshanii 1998 Atomic Scattering in the Presence of an External Confinement and a Gas of Impenetrable Bosons Phys. Rev. Lett. 81 938 941
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 938-941
    • Olshanii, M.1
  • 23
    • 0142025389 scopus 로고    scopus 로고
    • Short-Distance Correlation Properties of the Lieb-Liniger System and Momentum Distributions of Trapped One-Dimensional Atomic Gases
    • M. Olsahnii V. Dunjko 2003 Short-Distance Correlation Properties of the Lieb-Liniger System and Momentum Distributions of Trapped One-Dimensional Atomic Gases Phys. Rev. Lett. 91 090401
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 090401
    • Olsahnii, M.1    Dunjko, V.2
  • 27
    • 0042208385 scopus 로고    scopus 로고
    • Momentum Spectroscopy of 1D Phase Fluctuations in Bose-Einstein Condensates
    • S. Richard 2003 Momentum Spectroscopy of 1D Phase Fluctuations in Bose-Einstein Condensates Phys. Rev. Lett. 91 010405
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 010405
    • Richard, S.1
  • 28
    • 0000661763 scopus 로고
    • The theory of Rayleigh's Principle as Applied to Continuous Systems
    • G. Temple 1928 The theory of Rayleigh's Principle as Applied to Continuous Systems Proc. Roy. Soc. London A. 119 276 293
    • (1928) Proc. Roy. Soc. London A. , vol.119 , pp. 276-293
    • Temple, G.1
  • 29
    • 18344398744 scopus 로고    scopus 로고
    • Observation of Reduced Three-Body Recombination in a Correlated 1D Degenerate Bose Gas
    • B.L. Tolra 2004 Observation of Reduced Three-Body Recombination in a Correlated 1D Degenerate Bose Gas Phys. Rev. Lett. 92 190401
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 190401
    • Tolra, B.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.