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Volumn 52, Issue 12, 2011, Pages

The propagator of the attractive delta-Bose gas in one dimension

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EID: 84855259725     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3663431     Document Type: Article
Times cited : (32)

References (34)
  • 1
    • 26344439240 scopus 로고
    • Exact analysis of an interacting Bose gas. I. The general solution and the ground state
    • 10.1103/PhysRev.130.1605, and , .
    • Lieb E.H. Liniger W. Exact analysis of an interacting Bose gas. I. The general solution and the ground state. Phys. Rev. 1963, 130:1605-1616. 10.1103/PhysRev.130.1605.
    • (1963) Phys. Rev. , vol.130 , pp. 1605-1616
    • Lieb, E.H.1    Liniger, W.2
  • 2
    • 36149006296 scopus 로고
    • Exact analysis of an interacting Bose gas. II. The excitation spectrum
    • 10.1103/PhysRev.130.1616, .
    • Lieb E.H. Exact analysis of an interacting Bose gas. II. The excitation spectrum. Phys. Rev. 1963, 130:1616-1624. 10.1103/PhysRev.130.1616.
    • (1963) Phys. Rev. , vol.130 , pp. 1616-1624
    • Lieb, E.H.1
  • 3
    • 0001017120 scopus 로고
    • Thermodynamics of a one-dimensional system of bosons with repulsive delta-function interaction
    • 10.1063/1.1664947, and , .
    • Yang C.N. Yang C.P. Thermodynamics of a one-dimensional system of bosons with repulsive delta-function interaction. J. Math. Phys. 1969, 10:1115-1122. 10.1063/1.1664947.
    • (1969) J. Math. Phys. , vol.10 , pp. 1115-1122
    • Yang, C.N.1    Yang, C.P.2
  • 4
    • 0041510391 scopus 로고
    • Bose gas in one dimension. I. The closure property of the scattering wavefunctions
    • 10.1063/1.1665790, .
    • Gaudin M. Bose gas in one dimension. I. The closure property of the scattering wavefunctions. J. Math. Phys. 1971, 12:1674-1676. 10.1063/1.1665790.
    • (1971) J. Math. Phys. , vol.12 , pp. 1674-1676
    • Gaudin, M.1
  • 5
    • 1542533593 scopus 로고
    • Bose gas in one dimension. II. Orthogonality of the scattering states
    • 10.1063/1.1665791, .
    • Gaudin M. Bose gas in one dimension. II. Orthogonality of the scattering states. J. Math. Phys. 1971, 12:1677-1680. 10.1063/1.1665791.
    • (1971) J. Math. Phys. , vol.12 , pp. 1677-1680
    • Gaudin, M.1
  • 6
    • 35949034437 scopus 로고
    • Boundary energy of a Bose gas in one dimension
    • 10.1103/PhysRevA.4.386, .
    • Gaudin M. Boundary energy of a Bose gas in one dimension. Phys. Rev. A 1971, 4:386-394. 10.1103/PhysRevA.4.386.
    • (1971) Phys. Rev. A , vol.4 , pp. 386-394
    • Gaudin, M.1
  • 8
    • 1442298890 scopus 로고
    • Study of exactly soluble one-dimensional N-body problems
    • 10.1063/1.1704156, .
    • McGuire J.B. Study of exactly soluble one-dimensional N-body problems. J. Math. Phys. 1964, 5:622-636. 10.1063/1.1704156.
    • (1964) J. Math. Phys. , vol.5 , pp. 622-636
    • McGuire, J.B.1
  • 9
    • 34147130076 scopus 로고
    • Norms of bound states
    • 10.1007/BF01084936, and , .
    • Kirillov A.N. Korepin V.E. Norms of bound states. J. Math. Sci. 1988, 40:13-21. 10.1007/BF01084936.
    • (1988) J. Math. Sci. , vol.40 , pp. 13-21
    • Kirillov, A.N.1    Korepin, V.E.2
  • 10
    • 47649097564 scopus 로고    scopus 로고
    • Dynamics of the attractive 1D Bose gas, analytical treatment from integrability
    • 10.1088/1742-5468/2007/08/P08032, and , .
    • Calabrese P. Caux J.S. Dynamics of the attractive 1D Bose gas, analytical treatment from integrability. J. Stat. Mech. 2007, P08032. 10.1088/1742-5468/2007/08/P08032.
    • (2007) J. Stat. Mech.
    • Calabrese, P.1    Caux, J.S.2
  • 11
    • 77957099317 scopus 로고    scopus 로고
    • Replica Bethe ansatz derivation of the Tracy-Widom distribution of the free energy fluctuations in one-dimensional directed polymers
    • 10.1088/1742-5468/2010/07/P07010, .
    • Dotsenko V. Replica Bethe ansatz derivation of the Tracy-Widom distribution of the free energy fluctuations in one-dimensional directed polymers. J. Stat. Mech. 2010, P07010. 10.1088/1742-5468/2010/07/P07010.
    • (2010) J. Stat. Mech.
    • Dotsenko, V.1
  • 12
    • 34147143906 scopus 로고    scopus 로고
    • Correlation functions of the one-dimensional attractive Bose gas
    • 10.1103/PhysRevLett.98.150403, and , .
    • Calabrese P. Caux J.S. Correlation functions of the one-dimensional attractive Bose gas. Phys. Rev. Lett. 2007, 98:150403. 10.1103/PhysRevLett.98.150403.
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 150403
    • Calabrese, P.1    Caux, J.S.2
  • 13
    • 4243979739 scopus 로고
    • Dynamic scaling of growing interfaces
    • 10.1103/PhysRevLett.56.889, and , .
    • Kardar M. Parisi G. Zhang Y.-C. Dynamic scaling of growing interfaces. Phys. Rev. Lett. 1986, 56:889-892. 10.1103/PhysRevLett.56.889.
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 889-892
    • Kardar, M.1    Parisi, G.2    Zhang, Y.-C.3
  • 14
    • 5544248074 scopus 로고
    • Replica Bethe ansatz studies of two-dimensional interfaces with quenched random impurities
    • 10.1016/0550-3213(87)90203-3, .
    • Kardar M. Replica Bethe ansatz studies of two-dimensional interfaces with quenched random impurities. Nucl. Phys. B 1987, 290:582-602. 10.1016/0550-3213(87)90203-3.
    • (1987) Nucl. Phys. B , vol.290 , pp. 582-602
    • Kardar, M.1
  • 15
    • 0000499144 scopus 로고
    • On the Bethe ansatz for random directed polymers
    • 10.1007/BF01027306, and , .
    • Bouchaud J.P. Orland H. On the Bethe ansatz for random directed polymers. J. Stat. Phys. 1990, 61:877-884. 10.1007/BF01027306.
    • (1990) J. Stat. Phys. , vol.61 , pp. 877-884
    • Bouchaud, J.P.1    Orland, H.2
  • 16
    • 77950271971 scopus 로고    scopus 로고
    • Bethe ansatz solution for one-dimensional directed polymers in random media
    • 10.1088/1742-5468/2010/03/P03022, and , .
    • Dotsenko V. Klumov B. Bethe ansatz solution for one-dimensional directed polymers in random media. J. Stat. Mech. 2010, P03022. 10.1088/1742-5468/2010/03/P03022.
    • (2010) J. Stat. Mech.
    • Dotsenko, V.1    Klumov, B.2
  • 17
    • 77953523639 scopus 로고    scopus 로고
    • Free-energy distribution of the directed polymer at high temperature
    • 10.1209/0295-5075/90/20002, and , .
    • Calabrese P. Le Doussal P. Rosso A. Free-energy distribution of the directed polymer at high temperature. Europhys. Lett. 2010, 90:20002. 10.1209/0295-5075/90/20002.
    • (2010) Europhys. Lett. , vol.90 , pp. 20002
    • Calabrese, P.1    Le Doussal, P.2    Rosso, A.3
  • 18
    • 77953500008 scopus 로고    scopus 로고
    • Bethe ansatz derivation of the Tracy-Widom distribution for one-dimensional directed polymers
    • 10.1209/0295-5075/90/20003, .
    • Dotsenko V. Bethe ansatz derivation of the Tracy-Widom distribution for one-dimensional directed polymers. Europhys. Lett. 2010, 90:20003. 10.1209/0295-5075/90/20003.
    • (2010) Europhys. Lett. , vol.90 , pp. 20003
    • Dotsenko, V.1
  • 19
    • 79751501755 scopus 로고    scopus 로고
    • Two-point generating function of the free energy for a directed polymer in a random medium
    • 10.1088/1742-5468/2011/01/P01031, and , .
    • Prolhac S. Spohn H. Two-point generating function of the free energy for a directed polymer in a random medium. J. Stat. Mech. 2011, P01031. 10.1088/1742-5468/2011/01/P01031.
    • (2011) J. Stat. Mech.
    • Prolhac, S.1    Spohn, H.2
  • 20
    • 79953704244 scopus 로고    scopus 로고
    • The one-dimensional KPZ equation and the airy process
    • 10.1088/1742-5468/2011/03/P03020, and , .
    • Prolhac S. Spohn H. The one-dimensional KPZ equation and the airy process. J. Stat. Mech. 2011, P03020. 10.1088/1742-5468/2011/03/P03020.
    • (2011) J. Stat. Mech.
    • Prolhac, S.1    Spohn, H.2
  • 21
    • 79961113465 scopus 로고    scopus 로고
    • Height distribution of the Kardar-Parisi-Zhang equation with sharp-wedge initial condition: Numerical evaluations
    • 10.1103/PhysRevE.84.011119, and , .
    • Prolhac S. Spohn H. Height distribution of the Kardar-Parisi-Zhang equation with sharp-wedge initial condition: Numerical evaluations. Phys. Rev. E 2011, 84:011119. 10.1103/PhysRevE.84.011119.
    • (2011) Phys. Rev. E , vol.84 , pp. 011119
    • Prolhac, S.1    Spohn, H.2
  • 22
    • 79960631399 scopus 로고    scopus 로고
    • Exact solution for the Kardar-Parisi-Zhang equation with flat initial conditions
    • 10.1103/PhysRevLett.106.250603, and , .
    • Calabrese P. Le Doussal P. Exact solution for the Kardar-Parisi-Zhang equation with flat initial conditions. Phys. Rev. Lett. 2011, 106:250603. 10.1103/PhysRevLett.106.250603.
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 250603
    • Calabrese, P.1    Le Doussal, P.2
  • 23
    • 80052590927 scopus 로고    scopus 로고
    • Replica approach to the KPZ equation with the half Brownian motion initial condition
    • 10.1088/1751-8113/44/38/385001, and , .
    • Imamura T. Sasamoto T. Replica approach to the KPZ equation with the half Brownian motion initial condition. J. Phys. A: Math. Theor. 2011, 44:385001. 10.1088/1751-8113/44/38/385001.
    • (2011) J. Phys. A: Math. Theor. , vol.44 , pp. 385001
    • Imamura, T.1    Sasamoto, T.2
  • 24
  • 25
    • 84855282192 scopus 로고    scopus 로고
    • e-print arXiv:1106.1596.
    • Corwin I. e-print arXiv:1106.1596.
    • Corwin, I.1
  • 26
    • 64549148340 scopus 로고    scopus 로고
    • The dynamics of the one-dimensional delta-function Bose gas
    • 10.1088/1751-8113/41/48/485204, and , .
    • Tracy C.A. Widom H. The dynamics of the one-dimensional delta-function Bose gas. J. Phys. A: Math. Theor. 2008, 41:485204. 10.1088/1751-8113/41/48/485204.
    • (2008) J. Phys. A: Math. Theor. , vol.41 , pp. 485204
    • Tracy, C.A.1    Widom, H.2
  • 27
    • 0040820998 scopus 로고
    • The hamiltonian of the quantized non-linear Schrödinger equation
    • Ph.D. dissertation (University of California, Los Angeles (UCLA), ).
    • Oxford S.C. The hamiltonian of the quantized non-linear Schrödinger equation. 1979, Ph.D. dissertation (University of California, Los Angeles (UCLA), ).
    • (1979)
    • Oxford, S.C.1
  • 28
    • 0012992484 scopus 로고
    • Ground state representation of the infinite one-dimensional Heisenberg ferromagnet
    • 10.1007/BF01614088, and , .
    • Babbitt D. Thomas L. Ground state representation of the infinite one-dimensional Heisenberg ferromagnet. Comm. Math. Phys. 1977, 54:255-278. 10.1007/BF01614088.
    • (1977) Comm. Math. Phys. , vol.54 , pp. 255-278
    • Babbitt, D.1    Thomas, L.2
  • 29
    • 0031526679 scopus 로고    scopus 로고
    • Yang's system of particles and Hecke algebras
    • 10.2307/2951825, and , .
    • Heckman G.J. Opdam E.M. Yang's system of particles and Hecke algebras. Ann. Math. 1997, 145:139-173. 10.2307/2951825.
    • (1997) Ann. Math. , vol.145 , pp. 139-173
    • Heckman, G.J.1    Opdam, E.M.2
  • 30
    • 21144479674 scopus 로고
    • Orthogonality and completeness of the Bethe ansatz eigenstates of the nonlinear Schrödinger model
    • 10.1007/BF02097001, .
    • Dorlas T. Orthogonality and completeness of the Bethe ansatz eigenstates of the nonlinear Schrödinger model. Commun. Math. Phys. 1993, 154:347-376. 10.1007/BF02097001.
    • (1993) Commun. Math. Phys. , vol.154 , pp. 347-376
    • Dorlas, T.1
  • 31
    • 41149087607 scopus 로고    scopus 로고
    • Integral formulas for the asymmetric simple exclusion process
    • 10.1007/s00220-008-0443-3, and , .
    • Tracy C.A. Widom H. Integral formulas for the asymmetric simple exclusion process. Commun. Math. Phys. 2008, 279:815-844. 10.1007/s00220-008-0443-3.
    • (2008) Commun. Math. Phys. , vol.279 , pp. 815-844
    • Tracy, C.A.1    Widom, H.2
  • 32
    • 0040238394 scopus 로고    scopus 로고
    • Exact solution of the master equation for the asymmetric exclusion process
    • 10.1007/BF02508478, .
    • Schütz G.M. Exact solution of the master equation for the asymmetric exclusion process. J. Stat. Phys. 1997, 88:427-445. 10.1007/BF02508478.
    • (1997) J. Stat. Phys. , vol.88 , pp. 427-445
    • Schütz, G.M.1
  • 33
    • 0041416165 scopus 로고    scopus 로고
    • Exact nonstationary probabilities in the asymmetric exclusion process on a ring
    • 10.1103/PhysRevLett.91.050601, .
    • Priezzhev V.B. Exact nonstationary probabilities in the asymmetric exclusion process on a ring. Phys. Rev. Lett 2003, 91:050601. 10.1103/PhysRevLett.91.050601.
    • (2003) Phys. Rev. Lett , vol.91 , pp. 050601
    • Priezzhev, V.B.1
  • 34
    • 80655142592 scopus 로고    scopus 로고
    • Determinant solution for the totally asymmetric exclusion process with parallel update: II. Ring geometry
    • 10.1088/1742-5468/2007/08/P08018, and , .
    • Povolotsky A.M. Priezzhev V.B. Determinant solution for the totally asymmetric exclusion process with parallel update: II. Ring geometry. J. Stat. Mech. 2007, P08018. 10.1088/1742-5468/2007/08/P08018.
    • (2007) J. Stat. Mech.
    • Povolotsky, A.M.1    Priezzhev, V.B.2


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