메뉴 건너뛰기




Volumn 42, Issue 46, 2009, Pages

A spin chain model with non-Hermitian interaction: The Ising quantum spin chain in an imaginary field

Author keywords

[No Author keywords available]

Indexed keywords


EID: 70649111448     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/46/465211     Document Type: Article
Times cited : (104)

References (42)
  • 1
    • 36149023450 scopus 로고
    • Statistical theory of equations of state and phase transitions: I. Theory of condensation
    • Yang C-N and Lee T D 1952 Statistical theory of equations of state and phase transitions: I. Theory of condensation Phys. Rev. 87 404-9
    • (1952) Phys. Rev. , vol.87 , pp. 404-409
    • Yang, C.-N.1    Lee, T.D.2
  • 2
    • 0000704106 scopus 로고
    • Statistical theory of equations of state and phase transitions: II. Lattice gas and Ising model
    • Lee T D and Yang C-N 1952 Statistical theory of equations of state and phase transitions: II. Lattice gas and Ising model Phys. Rev. 87 410-9
    • (1952) Phys. Rev. , vol.87 , pp. 410-419
    • Lee, T.D.1    Yang, C.-N.2
  • 4
    • 0000477528 scopus 로고
    • Conformal invariance and the Yang-Lee edge singularity in two-dimension
    • Cardy J L 1985 Conformal invariance and the Yang-Lee edge singularity in two-dimension Phys. Rev. Lett. 54 1354-6
    • (1985) Phys. Rev. Lett. , vol.54 , pp. 1354-1356
    • Cardy, J.L.1
  • 5
    • 0010882054 scopus 로고
    • Infinite conformal symmetry in two-dimensional quantum field theory
    • Belavin A A, Polyakov A M and Zamolodchikov A B 1984 Infinite conformal symmetry in two-dimensional quantum field theory Nucl. Phys. B 241 333-80
    • (1984) Nucl. Phys. , vol.241 , pp. 333-380
    • Belavin, A.A.1    Polyakov, A.M.2    Zamolodchikov, A.B.3
  • 6
    • 0042659835 scopus 로고
    • Critical and off critical conformal analysis of the Ising quantum chain in an imaginary field
    • von Gehlen G 1991 Critical and off critical conformal analysis of the Ising quantum chain in an imaginary field J. Phys. A: Math. Gen. 24 5371-400
    • (1991) J. Phys. A: Math. Gen. , vol.24 , pp. 5371-5400
    • Von Gehlen, G.1
  • 7
    • 0040747840 scopus 로고
    • Non-Hermitian tricriticality in the Blume-Capel model with imaginary field
    • von Gehlen G 1994 Non-Hermitian tricriticality in the Blume-Capel model with imaginary field Int. J. Mod. Phys. B 8 3507-29
    • (1994) Int. J. Mod. Phys. , vol.8 , pp. 3507-3529
    • Von Gehlen, G.1
  • 8
    • 11544339752 scopus 로고    scopus 로고
    • Real spectra in Non-Hermitian Hamiltonians having PT symmetry
    • Bender C M and Boettcher S 1998 Real spectra in Non-Hermitian Hamiltonians having PT symmetry Phys. Rev. Lett. 80 5243-6
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 5243-5246
    • Bender, C.M.1    Boettcher, S.2
  • 10
    • 34547309949 scopus 로고    scopus 로고
    • Making sense of non-Hermitian Hamiltonians
    • Bender C M 2007 Making sense of non-Hermitian Hamiltonians Rep. Prog. Phys. 70 947-1018
    • (2007) Rep. Prog. Phys. , vol.70 , pp. 947-1018
    • Bender, C.M.1
  • 12
    • 0009153478 scopus 로고
    • Normal form of antiunitary operators
    • Wigner E 1960 Normal form of antiunitary operators J. Math. Phys. 1 409-13
    • (1960) J. Math. Phys. , vol.1 , pp. 409-413
    • Wigner, E.1
  • 13
    • 11544339752 scopus 로고    scopus 로고
    • Real spectra in Non-Hermitian Hamiltonians having PT symmetry
    • Bender C M and Boettcher S 1998 Real spectra in Non-Hermitian Hamiltonians having PT symmetry Phys. Rev. Lett. 80 5243-6
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 5243-5246
    • Bender, C.M.1    Boettcher, S.2
  • 15
    • 0038574552 scopus 로고    scopus 로고
    • -symmetry and its spontaneous breakdown explained by anti-linearity
    • Weigert S 2003 -symmetry and its spontaneous breakdown explained by anti-linearity J. Phys. B: At. Mol. Opt. Phys. 5 S416-9
    • (2003) J. Phys. B: At. Mol. Opt. Phys. , vol.5
    • Weigert, S.1
  • 16
    • 37649030130 scopus 로고    scopus 로고
    • Extension of PT-symmetric quantum mechanics to quantum field theory with cubic interaction
    • Bender C M, Brody D C and Jones H F 2004 Extension of PT-symmetric quantum mechanics to quantum field theory with cubic interaction Phys. Rev. D 70 025001(19)
    • (2004) Phys. Rev. , vol.70 , pp. 025001
    • Bender, C.M.1    Brody, D.C.2    Jones, H.F.3
  • 17
    • 34547405230 scopus 로고    scopus 로고
    • PT symmetry on the lattice: The quantum group invariant XXZ Spin-chain
    • Korff C and Weston R A 2007 PT symmetry on the lattice: the quantum group invariant XXZ Spin-chain J. Phys. A: Math. Theor. 40 8845-72
    • (2007) J. Phys. A: Math. Theor. , vol.40 , pp. 8845-8872
    • Korff, C.1    Weston, R.A.2
  • 18
    • 52349104452 scopus 로고    scopus 로고
    • PT symmetry of the non-hermitian XX Spin-chain: Non-local Bulk interaction from complex boundary fields
    • Korff C 2008 PT symmetry of the non-hermitian XX Spin-chain: non-local Bulk interaction from complex boundary fields J. Phys. A: Math. Theor. 41 295206
    • (2008) J. Phys. A: Math. Theor. , vol.41 , pp. 295206
    • Korff, C.1
  • 21
    • 0001536576 scopus 로고
    • Quasi-Hermitian operators in quantum mechanics and the variational principle
    • Scholtz F G, Geyer H B and Hahne F 1992 Quasi-Hermitian operators in quantum mechanics and the variational principle Ann. Phys. 213 74-101
    • (1992) Ann. Phys. , vol.213 , pp. 74-101
    • Scholtz, F.G.1    Geyer, H.B.2    Hahne, F.3
  • 23
    • 51249194873 scopus 로고
    • Covariant formalism of a field with indefinite metric
    • Froissart M 1959 Covariant formalism of a field with indefinite metric Il Nuovo Cimento 14 197-204
    • (1959) Il Nuovo Cimento , vol.14 , pp. 197-204
    • Froissart, M.1
  • 24
    • 36149009276 scopus 로고
    • Quantum mechanical systems with indefinite metric. i
    • Sudarshan E C G 1961 Quantum mechanical systems with indefinite metric. I Phys. Rev. 123 2183-93
    • (1961) Phys. Rev. , vol.123 , pp. 2183-2193
    • Sudarshan, E.C.G.1
  • 25
    • 0035981827 scopus 로고    scopus 로고
    • Pseudo Hermiticity versus PT-symmetry: II. A complete characterization of non-hermitian Hamiltonians with a real spectrum
    • Mostafazadeh A 2002 Pseudo Hermiticity versus PT-symmetry: II. A complete characterization of non-hermitian Hamiltonians with a real spectrum J. Math. Phys. 43 2814-6
    • (2002) J. Math. Phys. , vol.43 , pp. 2814-2816
    • Mostafazadeh, A.1
  • 26
    • 0000346982 scopus 로고
    • Thermodynamic behavior of an ideal ferromagnet
    • Dyson F J 1956 Thermodynamic behavior of an ideal ferromagnet Phys. Rev. 102 1230-44
    • (1956) Phys. Rev. , vol.102 , pp. 1230-1244
    • Dyson, F.J.1
  • 27
    • 36149007690 scopus 로고
    • Field dependence of the intrinsic domain magnetization of a ferromagnet
    • Holstein T and Primakoff H 1940 Field dependence of the intrinsic domain magnetization of a ferromagnet Phys. Rev. 58 1098-113
    • (1940) Phys. Rev. , vol.58 , pp. 1098-1113
    • Holstein, T.1    Primakoff, H.2
  • 29
    • 22544485701 scopus 로고    scopus 로고
    • PT-symmetric cubic anharmonic oscilator as a physical model
    • Mostafazadeh A 2005 PT-symmetric cubic anharmonic oscilator as a physical model J. Phys. A: Math. Gen. 38 6557-70
    • (2005) J. Phys. A: Math. Gen. , vol.38 , pp. 6557-6570
    • Mostafazadeh, A.1
  • 32
    • 0030368148 scopus 로고    scopus 로고
    • On the absence of bound-state stabilization through short ultra-intense fields
    • Fring A, Kostrykin V and Schrader R 1996 On the absence of bound-state stabilization through short ultra-intense fields J. Phys. B: At. Mol. Opt. Phys. 29 5651-567
    • (1996) J. Phys. B: At. Mol. Opt. Phys. , vol.29 , pp. 5651-5567
    • Fring, A.1    Kostrykin, V.2    Schrader, R.3
  • 34
    • 48249094292 scopus 로고    scopus 로고
    • Metric operators for quasi-Hermitian Hamiltonians and symmetries of equivalent Hermitian Hamiltonians
    • Mostafazadeh A 2008 Metric operators for quasi-Hermitian Hamiltonians and symmetries of equivalent Hermitian Hamiltonians J. Phys. A: Math. Theor. 41 055304
    • (2008) J. Phys. A: Math. Theor. , vol.41 , pp. 055304
    • Mostafazadeh, A.1
  • 35
    • 48249127628 scopus 로고    scopus 로고
    • Metrics and isospectral partners for the most generic cubic -symmetric non-Hermitian Hamiltonian
    • Assis P E G and Fring A 2008 Metrics and isospectral partners for the most generic cubic -symmetric non-Hermitian Hamiltonian J. Phys. A: Math. Theor. 41 244001
    • (2008) J. Phys. A: Math. Theor. , vol.41 , pp. 244001
    • Assis, P.E.G.1    Fring, A.2
  • 36
    • 64549088352 scopus 로고    scopus 로고
    • Non-Hermitian Hamiltonians of Lie algebraic type
    • Assis P E G and Fring A 2009 Non-Hermitian Hamiltonians of Lie algebraic type J. Phys. A: Math. Theor. 42 015203
    • (2009) J. Phys. A: Math. Theor. , vol.42 , pp. 015203
    • Assis, P.E.G.1    Fring, A.2
  • 41
    • 29644442030 scopus 로고
    • Some exact calculations on a chain of spins 1/2
    • Niemeijer Th 1967 Some exact calculations on a chain of spins 1/2 Physica 36 377-419
    • (1967) Physica , vol.36 , pp. 377-419
    • Th, N.1
  • 42
    • 0000424988 scopus 로고
    • Über merkwürdige diskrete Eigenwerte. Über das Verhalten von Eigenwerten bei adiabatischen Prozessen
    • von Neuman J and Wigner E 1929 Über merkwürdige diskrete Eigenwerte. Über das Verhalten von Eigenwerten bei adiabatischen Prozessen Zeit. der Phys. 30 467-70
    • (1929) Zeit. der Phys. , vol.30 , pp. 467-470
    • Von Neuman, J.1    Wigner, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.