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Volumn 2, Issue 6, 2000, Pages

Studies on nonlinear coherent states

Author keywords

[No Author keywords available]

Indexed keywords

COHERENT LIGHT; MATHEMATICAL OPERATORS; NONLINEAR OPTICS; PHOTONS;

EID: 0034500174     PISSN: 14644266     EISSN: None     Source Type: Journal    
DOI: 10.1088/1464-4266/2/6/02     Document Type: Article
Times cited : (129)

References (73)
  • 1
    • 11744373290 scopus 로고
    • Die gegenwartige situation in quantenmechanik
    • Schrödinger E 1935 Die gegenwartige situation in Quantenmechanik Naturwissenschaften 23 807-12
    • (1935) Naturwissenschaften , vol.23 , pp. 807-812
    • Schrödinger, E.1
  • 3
  • 4
    • 5344225023 scopus 로고
    • Continuous representation theory. I. Postulates of continuous representation theory
    • Klauder J R 1963a Continuous representation theory. I. Postulates of continuous representation theory J. Math. Phys. 4 1055-8
    • (1963) J. Math. Phys. , vol.4 , pp. 1055-1058
    • Klauder, J.R.1
  • 5
    • 5344225023 scopus 로고
    • Continuous representation theory. II. Generalized relation between quantum and classical dynamics
    • Klauder J R 1963b Continuous representation theory. II. Generalized relation between quantum and classical dynamics J. Math. Phys. 4 1055-8
    • (1963) J. Math. Phys. , vol.4 , pp. 1055-1058
    • Klauder, J.R.1
  • 9
    • 0000092588 scopus 로고
    • Coherent states for general potentials
    • Nieto M M and Simmons L M Jr 1978 Coherent states for general potentials Phys. Rev. Lett. 41 207-10
    • (1978) Phys. Rev. Lett. , vol.41 , pp. 207-210
    • Nieto, M.M.1    Simmons L.M., Jr.2
  • 12
    • 0001217229 scopus 로고
    • Equivalence of semiclassical and quantum mechanical descriptions of statistical light beams
    • Sudarshan ECG 1963 Equivalence of semiclassical and quantum mechanical descriptions of statistical light beams Phys. Rev. Lett. 10 277-9
    • (1963) Phys. Rev. Lett. , vol.10 , pp. 277-279
    • Sudarshan, E.C.G.1
  • 14
    • 0008020172 scopus 로고
    • Photocount distributions for continuous-wave squeezed light
    • Zhu C and Caves C M 1990 Photocount distributions for continuous-wave squeezed light Phys. Rev. A 42 6794-804
    • (1990) Phys. Rev. A , vol.42 , pp. 6794-6804
    • Zhu, C.1    Caves, C.M.2
  • 15
    • 34548601250 scopus 로고
    • Photon correlations
    • Glauber R J 1963a Photon correlations Phys. Rev. Lett. 10 84-6
    • (1963) Phys. Rev. Lett. , vol.10 , pp. 84-86
    • Glauber, R.J.1
  • 16
    • 25044456610 scopus 로고
    • Coherent and incoherent states of the radiation field
    • Glauber R J 1963b Coherent and incoherent states of the radiation field Phys. Rev. 131 2766-88
    • (1963) Phys. Rev. , vol.131 , pp. 2766-2788
    • Glauber, R.J.1
  • 17
    • 26744479620 scopus 로고
    • Coherent states for general potentials. I. Formalism
    • Nieto M M and Simmons L M Jr 1979a Coherent states for general potentials. I. Formalism Phys. Rev. D 20 1321-31
    • (1979) Phys. Rev. D , vol.20 , pp. 1321-1331
    • Nieto, M.M.1    Simmons L.M., Jr.2
  • 18
    • 11744303459 scopus 로고
    • Coherent states for general potentials. II. Confining one-dimensional examples
    • Nieto M M and Simmons L M Jr 1979b Coherent states for general potentials. II. Confining one-dimensional examples Phys. Rev. D 20 1332-41
    • (1979) Phys. Rev. D , vol.20 , pp. 1332-1341
    • Nieto, M.M.1    Simmons L.M., Jr.2
  • 19
    • 5344250648 scopus 로고
    • Coherent states for general potentials. III. Nonconfining one-dimensional examples
    • Nieto M M and Simmons L M Jr 1979c Coherent states for general potentials. III. Nonconfining one-dimensional examples Phys. Rev. D 20 1342-50
    • (1979) Phys. Rev. D , vol.20 , pp. 1342-1350
    • Nieto, M.M.1    Simmons L.M., Jr.2
  • 20
    • 0007245531 scopus 로고
    • Even and odd coherent states and excitations of a singular oscillator
    • Dodonov V V, Malkin I A and Man'ko V I 1974 Even and odd coherent states and excitations of a singular oscillator Physica 72 597-615
    • (1974) Physica , vol.72 , pp. 597-615
    • Dodonov, V.V.1    Malkin, I.A.2    Man'ko, V.I.3
  • 21
    • 34250143502 scopus 로고
    • Some algebraic structures with the Yang-Baxter equation
    • Sklyanin E K 1983 Some algebraic structures with the Yang-Baxter equation Funct. Anal. Appl. 16 263-70
    • (1983) Funct. Anal. Appl. , vol.16 , pp. 263-270
    • Sklyanin, E.K.1
  • 22
    • 0040694601 scopus 로고
    • Some algebraic structures with the Yang-Baxter equation. Representation of quantum algebras
    • Sklyanin E K 1984 Some algebraic structures with the Yang-Baxter equation. Representation of quantum algebras Funct. Anal. Appl. 17 273-84
    • (1984) Funct. Anal. Appl. , vol.17 , pp. 273-284
    • Sklyanin, E.K.1
  • 24
  • 25
    • 0343363057 scopus 로고
    • The quantum deformation of SU(1, 1) as the dynamical symmetry of the anharmonic oscillator
    • Narganes-Quijano FJ 1991 The quantum deformation of SU(1, 1) as the dynamical symmetry of the anharmonic oscillator J. Phys. A: Math. Gen. 24 1699-707
    • (1991) J. Phys. A: Math. Gen. , vol.24 , pp. 1699-1707
    • Narganes-Quijano, F.J.1
  • 26
    • 0002518207 scopus 로고
    • Generalized deformed oscillators for vibrational spectra of diatomic molecules
    • Bonatsos D and Daskaloyannis C 1992 Generalized deformed oscillators for vibrational spectra of diatomic molecules Phys. Rev. A 46 75-80
    • (1992) Phys. Rev. A , vol.46 , pp. 75-80
    • Bonatsos, D.1    Daskaloyannis, C.2
  • 27
    • 0000703393 scopus 로고
    • Model of n coupled generalized deformed oscillators for vibrations of polyatomic molecules
    • Bonatsos D and Daskaloyannis C 1992 Model of n coupled generalized deformed oscillators for vibrations of polyatomic molecules Phys. Rev. A 48 3611-6
    • (1992) Phys. Rev. A , vol.48 , pp. 3611-3616
    • Bonatsos, D.1    Daskaloyannis, C.2
  • 28
    • 0039841639 scopus 로고
    • Q-nonlinearities of electromagnetic field and form factor of electric charge
    • Man'ko V I, Marmo G and Zaccaria F 1994 q-nonlinearities of electromagnetic field and form factor of electric charge Phys. Lett. A 191 13-7
    • (1994) Phys. Lett. A , vol.191 , pp. 13-17
    • Man'ko, V.I.1    Marmo, G.2    Zaccaria, F.3
  • 29
    • 0343798929 scopus 로고    scopus 로고
    • Interference effects in f-deformed fields
    • Mancini S, Man'ko V I and Tombesi P 1998 Interference effects in f-deformed fields Phys. Scr. 57 486-7
    • (1998) Phys. Scr. , vol.57 , pp. 486-487
    • Mancini, S.1    Man'ko, V.I.2    Tombesi, P.3
  • 30
    • 84923199214 scopus 로고
    • Comparison of quantum and semiclassical radiation theories with application to the beam maser
    • Jaynes E T and Cummings F W 1963 Comparison of quantum and semiclassical radiation theories with application to the beam maser Proc. IEEE 51 89-109
    • (1963) Proc. IEEE , vol.51 , pp. 89-109
    • Jaynes, E.T.1    Cummings, F.W.2
  • 31
    • 0000374686 scopus 로고
    • Exactly soluble model of atom-phonon coupling showing periodic decay and revival
    • Buck B and Sukumar C V 1981 Exactly soluble model of Atom-phonon coupling showing periodic decay and revival Phys. Lett. A 81 132-5
    • (1981) Phys. Lett. A , vol.81 , pp. 132-135
    • Buck, B.1    Sukumar, C.V.2
  • 32
    • 0002508453 scopus 로고
    • Solution of the Heisenberg equation for an atom interacting with radiation
    • Buck B and Sukumar C V 1984 Solution of the Heisenberg equation for an atom interacting with radiation J. Phys. A: Math. Gen. 17 877-83
    • (1984) J. Phys. A: Math. Gen. , vol.17 , pp. 877-883
    • Buck, B.1    Sukumar, C.V.2
  • 33
    • 0000157015 scopus 로고
    • Quantum algebra as the dynamical symmetry of the deformed Jaynes-Cummings model
    • Chaichian M, Ellinas D and Kulish P 1990 Quantum algebra as the dynamical symmetry of the deformed Jaynes-Cummings model Phys. Rev. Lett. 65 980-3
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 980-983
    • Chaichian, M.1    Ellinas, D.2    Kulish, P.3
  • 35
    • 21144466023 scopus 로고
    • Diagonal harmonious representation
    • Sudarshan ECG 1993 Diagonal harmonious representation Int. J. Theor. Phys. 32 1069-76
    • (1993) Int. J. Theor. Phys. , vol.32 , pp. 1069-1076
    • Sudarshan, E.C.G.1
  • 36
    • 30244574885 scopus 로고
    • Aspects of q-oscillator quantum mechanics
    • Chaturvedi S and Srinivasan V 1991 Aspects of q-oscillator quantum mechanics Phys. Rev. A 44 8020-3
    • (1991) Phys. Rev. A , vol.44 , pp. 8020-8023
    • Chaturvedi, S.1    Srinivasan, V.2
  • 37
    • 36849098507 scopus 로고
    • Generalized Bose operators in the Fock space of a single Bose operator
    • Brandt R A and Greenberg O W 1969 Generalized Bose operators in the Fock space of a single Bose operator J. Math. Phys. 10 1168-76
    • (1969) J. Math. Phys. , vol.10 , pp. 1168-1176
    • Brandt, R.A.1    Greenberg, O.W.2
  • 38
  • 41
    • 0002554987 scopus 로고    scopus 로고
    • Coherent states for isospectral Hamiltonians
    • Kumar M S and Khare A 1996 Coherent states for isospectral Hamiltonians Phys. Lett. A 217 73-7
    • (1996) Phys. Lett. A , vol.217 , pp. 73-77
    • Kumar, M.S.1    Khare, A.2
  • 44
    • 0000236367 scopus 로고
    • Nonclassical properties of states generated by the excitations of a coherent state
    • Agarwal G S and Tara K 1991 Nonclassical properties of states generated by the excitations of a coherent state Phys. Rev. A 43 492-7
    • (1991) Phys. Rev. A , vol.43 , pp. 492-497
    • Agarwal, G.S.1    Tara, K.2
  • 45
    • 0003430834 scopus 로고    scopus 로고
    • Quantum state engineering using conditional measurement on a beam splitter
    • Dakna M, Knöll L and Welsch D-G 1998 Quantum state engineering using conditional measurement on a beam splitter Eur. Phys. J. D 3 295-308
    • (1998) Eur. Phys. J. D , vol.3 , pp. 295-308
    • Dakna, M.1    Knöll, L.2    Welsch, D.-G.3
  • 46
    • 0033531859 scopus 로고    scopus 로고
    • Photon-added coherent states as nonlinear coherent states
    • Sivakumar S 1999 Photon-added coherent states as nonlinear coherent states J. Phys. A: Math. Gen. 32 3441-7
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 3441-3447
    • Sivakumar, S.1
  • 48
    • 35949006252 scopus 로고
    • Eigenstates of two-photon annihilation operators
    • Mehta C L, Roy A K and Saxena G M 1992 Eigenstates of two-photon annihilation operators Phys. Rev. A 46 1565-72
    • (1992) Phys. Rev. A , vol.46 , pp. 1565-1572
    • Mehta, C.L.1    Roy, A.K.2    Saxena, G.M.3
  • 49
    • 84975598758 scopus 로고
    • Sub-Poissonian photon statistics in resonance flourescence
    • Mandel L 1979 Sub-Poissonian photon statistics in resonance flourescence Opt. Lett. 4 205-7
    • (1979) Opt. Lett. , vol.4 , pp. 205-207
    • Mandel, L.1
  • 50
    • 0001933793 scopus 로고    scopus 로고
    • Negative binomial states of the radiation and their excitations are nonlinear coherent states
    • Wang X-G and Fu H C 1999 Negative binomial states of the radiation and their excitations are nonlinear coherent states Mod. Phys. Lett. B 13 617-23
    • (1999) Mod. Phys. Lett. B , vol.13 , pp. 617-623
    • Wang, X.-G.1    Fu, H.C.2
  • 51
    • 4243508111 scopus 로고
    • Quantum limits on resonant-mass gravitation-wave detection
    • Hollenhoist J N 1974 Quantum limits on resonant-mass gravitation-wave detection Phys. Rev. D 19 1659-79
    • (1974) Phys. Rev. D , vol.19 , pp. 1659-1679
    • Hollenhoist, J.N.1
  • 52
    • 4244216631 scopus 로고
    • Generalized coherent states
    • Stoler D 1971 Generalized coherent states Phys. Rev. D 4 2309-12
    • (1971) Phys. Rev. D , vol.4 , pp. 2309-2312
    • Stoler, D.1
  • 53
    • 24244441257 scopus 로고
    • Two-photon coherent states of the radiation field
    • Yuen H P 1976 Two-photon coherent states of the radiation field Phys. Rev. A 13 2226-43
    • (1976) Phys. Rev. A , vol.13 , pp. 2226-2243
    • Yuen, H.P.1
  • 54
    • 0000188650 scopus 로고
    • New formalism for two-photon quantum optics, 1. Quadrature phases and squeezed states
    • Caves C M and Schumaker B L 1985 New formalism for two-photon quantum optics, 1. Quadrature phases and squeezed states Phys. Rev. A 31 3068-92
    • (1985) Phys. Rev. A , vol.31 , pp. 3068-3092
    • Caves, C.M.1    Schumaker, B.L.2
  • 55
    • 3543097279 scopus 로고
    • Resonance fluorescence from an atom in a squeezed vacuum
    • Carmichad H J, Lane A and Walls D F 1987 Resonance fluorescence from an atom in a squeezed vacuum Phys. Rev. Lett. 58 2539-42
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 2539-2542
    • Carmichad, H.J.1    Lane, A.2    Walls, D.F.3
  • 56
    • 0018032214 scopus 로고
    • Optical communication with two-photon coherent states. Part I. Quantum state propagation and quantum noise reduction
    • Yuen H P and Shapiro J H 1978 Optical communication with two-photon coherent states. Part I. Quantum state propagation and quantum noise reduction IEEE Trans. Inform. Theory 24 657-68
    • (1978) IEEE Trans. Inform. Theory , vol.24 , pp. 657-668
    • Yuen, H.P.1    Shapiro, J.H.2
  • 57
    • 0018444762 scopus 로고
    • Optical communication with two-photon coherent status. Part II. Photoemissive detection and structured receiver performance
    • Shapiro J H, Yuen H P and Machado J A 1979 Optical communication with two-photon coherent status. Part II. Photoemissive detection and structured receiver performance IEEE Trans. Inform. Theory 25 179-92
    • (1979) IEEE Trans. Inform. Theory , vol.25 , pp. 179-192
    • Shapiro, J.H.1    Yuen, H.P.2    Machado, J.A.3
  • 58
    • 0018812349 scopus 로고
    • Optical communication with two-photon coherent states. Part III. Quantum measurements realizable with photoemissive detectors
    • Yuen H P and Shapiro J H 1980 Optical communication with two-photon coherent states. Part III. Quantum measurements realizable with photoemissive detectors IEEE Trans. Inform. Theory 26 78-92
    • (1980) IEEE Trans. Inform. Theory , vol.26 , pp. 78-92
    • Yuen, H.P.1    Shapiro, J.H.2
  • 59
    • 0001041734 scopus 로고    scopus 로고
    • Even and odd nonlinear coheren: States
    • Mancini S 1997 Even and odd nonlinear coheren: states Phys. Lett. A 233 291-6
    • (1997) Phys. Lett. A , vol.233 , pp. 291-296
    • Mancini, S.1
  • 60
    • 0039164099 scopus 로고    scopus 로고
    • Nonclassical properties of the real and imaginary nonlinear Schrodinger cat states
    • Roy B 1998 Nonclassical properties of the real and imaginary nonlinear Schrodinger cat states Phys. Lett. A 249 25-9
    • (1998) Phys. Lett. A , vol.249 , pp. 25-29
    • Roy, B.1
  • 61
    • 0347245350 scopus 로고    scopus 로고
    • Time dependent nonclassical properties of even and odd nonlinear coherent states
    • Roy B and Roy P 1999 Time dependent nonclassical properties of even and odd nonlinear coherent states Phys. Lett. A 264 48-52
    • (1999) Phys. Lett. A , vol.264 , pp. 48-52
    • Roy, B.1    Roy, P.2
  • 62
    • 0346703288 scopus 로고    scopus 로고
    • Even and odd nonlinear coherent states
    • Sivakumar S 1998 Even and odd nonlinear coherent states Phys. Lett. A 252 257-62
    • (1998) Phys. Lett. A , vol.252 , pp. 257-262
    • Sivakumar, S.1
  • 63
    • 0019541231 scopus 로고
    • Optical bistability in a radially varying mode
    • Drummond P R 1981 Optical bistability in a radially varying mode IEEE J. Quantum Electron. 17 301-6
    • (1981) IEEE J. Quantum Electron. , vol.17 , pp. 301-306
    • Drummond, P.R.1
  • 64
    • 0000619733 scopus 로고
    • Cooling of a trapped ion in the strong-sideband regime
    • Blockley C A and Walls D F 1993 Cooling of a trapped ion in the strong-sideband regime Phys. Rev. A 47 2115-27
    • (1993) Phys. Rev. A , vol.47 , pp. 2115-2127
    • Blockley, C.A.1    Walls, D.F.2
  • 65
    • 32644451804 scopus 로고
    • Nonlinear Jaynes-Cummings dynamics of a trapped ion
    • de Matos Filho R L and Vogel W 1995 Nonlinear Jaynes-Cummings dynamics of a trapped ion Phys. Rev. A 52 4214-7
    • (1995) Phys. Rev. A , vol.52 , pp. 4214-4217
    • De Matos Filho, R.L.1    Vogel, W.2
  • 66
    • 5344242233 scopus 로고    scopus 로고
    • Even and odd coherent states of the motion of a trapped ion
    • de Matos Filho R L and Vogel W 1996 Even and odd coherent states of the motion of a trapped ion Phys. Rev. Lett. 76 608-11
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 608-611
    • De Matos Filho, R.L.1    Vogel, W.2
  • 67
    • 0000551017 scopus 로고    scopus 로고
    • Quantum signatures of chaos in the dynamics of a trapped ion
    • Breslin J K, Holmes C A and Milburn G J 1997 Quantum signatures of chaos in the dynamics of a trapped ion Phys. Rev. A 58 3022-7
    • (1997) Phys. Rev. A , vol.58 , pp. 3022-3027
    • Breslin, J.K.1    Holmes, C.A.2    Milburn, G.J.3
  • 68
    • 0030413892 scopus 로고    scopus 로고
    • Quantum nondemolition measurements of vibrational populations in ionic traps
    • Davidovich L, Orszag M and Zagury N 1996 Quantum nondemolition measurements of vibrational populations in ionic traps Phys. Rev. A 54 5118-25
    • (1996) Phys. Rev. A , vol.54 , pp. 5118-5125
    • Davidovich, L.1    Orszag, M.2    Zagury, N.3
  • 69
    • 0001233507 scopus 로고    scopus 로고
    • Engineering the Hamiltonian of a trapped ion
    • de Matos Filho R L and Vogel W 1998 Engineering the Hamiltonian of a trapped ion Phys. Rev. A 58 R1661-4
    • (1998) Phys. Rev. A , vol.58
    • De Matos Filho, R.L.1    Vogel, W.2
  • 71
    • 0042545229 scopus 로고    scopus 로고
    • Amplitude-squared squeezed states of motion of a trapped ion
    • Zeng H 1998 Amplitude-squared squeezed states of motion of a trapped ion Phys. Lett. A 247 273-80
    • (1998) Phys. Lett. A , vol.247 , pp. 273-280
    • Zeng, H.1
  • 72
    • 0034708296 scopus 로고    scopus 로고
    • Generation of even and odd nonlinear coherent states
    • Sivakumar S 2000 Generation of even and odd nonlinear coherent states J. Phys. A: Math. Gen. 33 2289-97
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 2289-2297
    • Sivakumar, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.