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Volumn 463, Issue 2084, 2007, Pages 2021-2030

Quantum phase transitions without thermodynamic limits

Author keywords

Decoherence; Microcanonical equilibrium; Quantum phase space; Thermalization; Topological phase transitions

Indexed keywords


EID: 36348988579     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2007.1865     Document Type: Article
Times cited : (31)

References (30)
  • 1
    • 4243233467 scopus 로고
    • Geometry of quantum evolution
    • doi:10.1103/PhysRevLett.65.1697
    • Anandan, J. & Aharonov, Y. 1990 Geometry of quantum evolution. Phys. Rev. Lett. 65, 1697-1700. (doi:10.1103/PhysRevLett.65.1697)
    • (1990) Phys. Rev. Lett , vol.65 , pp. 1697-1700
    • Anandan, J.1    Aharonov, Y.2
  • 2
    • 41349112678 scopus 로고    scopus 로고
    • Topology and phase transitions: From an exactly solvable model to a relation between topology and thermodynamics
    • doi:10.1103/PhysRevE.71.036152
    • Angelani, L., Casetti, L., Pettini, M., Ruocco, G. & Zamponi, F. 2005 Topology and phase transitions: From an exactly solvable model to a relation between topology and thermodynamics. Phys. Rev. E 71. (doi:10.1103/PhysRevE.71.036152)
    • (2005) Phys. Rev. E , vol.71
    • Angelani, L.1    Casetti, L.2    Pettini, M.3    Ruocco, G.4    Zamponi, F.5
  • 3
    • 0043031619 scopus 로고    scopus 로고
    • Geometrical formulation of quantum mechanics
    • ed. A. Harvey, Berlin, Germany: Springer
    • Ashtekar, A. & Schilling, T. A. 1999 Geometrical formulation of quantum mechanics. In On Einstein's path (ed. A. Harvey). Berlin, Germany: Springer.
    • (1999) On Einstein's path
    • Ashtekar, A.1    Schilling, T.A.2
  • 5
    • 0032336278 scopus 로고    scopus 로고
    • The quantum canonical ensemble
    • doi:10.1063/1.532661
    • Brody, D. C. & Hughston, L. P. 1998 The quantum canonical ensemble. J. Math. Phys. 39, 6502-6508. (doi:10.1063/1.532661)
    • (1998) J. Math. Phys , vol.39 , pp. 6502-6508
    • Brody, D.C.1    Hughston, L.P.2
  • 6
    • 0035314971 scopus 로고    scopus 로고
    • Geometric quantum mechanics
    • doi:10.1016/S0393-0440(00)00052-8
    • Brody, D. C. & Hughston, L. P. 2001 Geometric quantum mechanics. J. Geomet. Phys. 38, 19-53. (doi:10.1016/S0393-0440(00)00052-8)
    • (2001) J. Geomet. Phys , vol.38 , pp. 19-53
    • Brody, D.C.1    Hughston, L.P.2
  • 7
    • 33745961833 scopus 로고    scopus 로고
    • Microcanonical distributions for quantum systems
    • quant-ph/0506163
    • Brody, D. C., Hook, D. W. & Hughston, L. P. 2005 Microcanonical distributions for quantum systems. quant-ph/0506163.
    • (2005)
    • Brody, D.C.1    Hook, D.W.2    Hughston, L.P.3
  • 8
    • 0037259303 scopus 로고    scopus 로고
    • Phase transitions and topology changes in configuration space
    • doi:10.1023/A:1023044014341
    • Casetti, L., Pettini, M. & Cohen, E. G. D. 2003 Phase transitions and topology changes in configuration space. J. Stat. Phys. 111, 1091-1123. (doi:10.1023/A:1023044014341)
    • (2003) J. Stat. Phys , vol.111 , pp. 1091-1123
    • Casetti, L.1    Pettini, M.2    Cohen, E.G.D.3
  • 10
    • 4644230094 scopus 로고    scopus 로고
    • Theorem on the origin of phase transitions
    • doi:10.1103/ PhysRevLett.92.060601
    • Franzosi, R. & Pettini, M. 2004 Theorem on the origin of phase transitions. Phys. Rev. Lett. 92, 060601. (doi:10.1103/ PhysRevLett.92.060601)
    • (2004) Phys. Rev. Lett , vol.92 , pp. 060601
    • Franzosi, R.1    Pettini, M.2
  • 11
    • 14644407709 scopus 로고
    • Typical states and density matrices
    • doi:10.1016/0393-0440(92)90046-4
    • Gibbons, G. W. 1992 Typical states and density matrices. J. Geom. Phys. 8, 147-162. (doi:10.1016/0393-0440(92)90046-4)
    • (1992) J. Geom. Phys , vol.8 , pp. 147-162
    • Gibbons, G.W.1
  • 14
    • 36849132539 scopus 로고
    • Microcanonical ensemble in quantum statistical mechanics
    • doi:10.1063/1.1704681
    • Griffiths, R. B. 1965 Microcanonical ensemble in quantum statistical mechanics. J. Math. Phys. 6, 1447-1461. (doi:10.1063/1.1704681)
    • (1965) J. Math. Phys , vol.6 , pp. 1447-1461
    • Griffiths, R.B.1
  • 17
    • 11944275853 scopus 로고
    • Information theory and statistical mechanics. II
    • doi:10.1103/PhysRev.108.171
    • Jaynes, E. T. 1957 Information theory and statistical mechanics. II. Phys. Rev. 108, 171-190. (doi:10.1103/PhysRev.108.171)
    • (1957) Phys. Rev , vol.108 , pp. 171-190
    • Jaynes, E.T.1
  • 19
    • 18144375785 scopus 로고    scopus 로고
    • Unattainability of a purely topological criterion for the existence of a phase transition for nonconfining potentials
    • doi:10.1103/PhysRevLett.93.150601
    • Kastner, M. 2004 Unattainability of a purely topological criterion for the existence of a phase transition for nonconfining potentials. Phys. Rev. Lett. 93, 150 601. (doi:10.1103/PhysRevLett.93.150601)
    • (2004) Phys. Rev. Lett , vol.93 , pp. 150-601
    • Kastner, M.1
  • 20
    • 27344449445 scopus 로고    scopus 로고
    • Topological approach to phase transitions and inequivalence of statistical ensembles
    • doi:10.1016/j.physa.2005.06.063
    • Kastner, M. 2006 Topological approach to phase transitions and inequivalence of statistical ensembles. Physica A 359, 447-454. (doi:10.1016/j.physa.2005.06.063)
    • (2006) Physica A , vol.359 , pp. 447-454
    • Kastner, M.1
  • 21
    • 33645738371 scopus 로고    scopus 로고
    • On the mean-field spherical model
    • doi:10.1007/s10955-005-8031-9
    • Kastner, M. & Schnetz, O. 2006 On the mean-field spherical model. J. Stat. Phys. 122, 1195-1213. (doi:10.1007/s10955-005-8031-9)
    • (2006) J. Stat. Phys , vol.122 , pp. 1195-1213
    • Kastner, M.1    Schnetz, O.2
  • 24
    • 0001092198 scopus 로고
    • Geometrization of quantum mechanics
    • doi:10.1007/BF01225149
    • Kibble, T. W. B. 1979 Geometrization of quantum mechanics. Commun. Math. Phys. 65, 189-201. (doi:10.1007/BF01225149)
    • (1979) Commun. Math. Phys , vol.65 , pp. 189-201
    • Kibble, T.W.B.1
  • 27
    • 0001796109 scopus 로고
    • Thermodynamics and statistical mechanics at negative absolute temperatures
    • doi:10.1103/ PhysRev.103.20
    • Ramsey, N. F. 1956 Thermodynamics and statistical mechanics at negative absolute temperatures. Phys. Rev. 103, 20-28. (doi:10.1103/ PhysRev.103.20)
    • (1956) Phys. Rev , vol.103 , pp. 20-28
    • Ramsey, N.F.1
  • 29
    • 3242877566 scopus 로고    scopus 로고
    • Experimental determination of the melting point and heat capacity for a free cluster of 139 sodium atoms
    • doi:10.1103/PhysRevLett.79.99
    • Schmidt, M., Kusche, R., Kronmüller, W., von Issendorff, B. & Haberland, H. 1997 Experimental determination of the melting point and heat capacity for a free cluster of 139 sodium atoms. Phys. Rev. Lett. 79, 99-102. (doi:10.1103/PhysRevLett.79.99)
    • (1997) Phys. Rev. Lett , vol.79 , pp. 99-102
    • Schmidt, M.1    Kusche, R.2    Kronmüller, W.3    von Issendorff, B.4    Haberland, H.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.