Pub Date : 1993-04-01DOI: 10.1088/0954-8998/5/2/004
A. Chizhov, Ts. Gantsog, B. Murzakhmetov
Phase properties of squeezed number states and squeezed thermal states are studied. Exact analytical formulae for phase distributions based on different phase approaches are derived and illustrated graphically. It is shown that the phase quasiprobability distribution P(W)( theta ) associated with the Wigner function does not depend on the photon number of the initial number state and has the same form for both kinds of squeezed states under consideration while the Pegg-Barnett phase distribution and the phase quasiprobability distributions associated with the Q function and the Glauber-Sudarshan P function, approach P(W)( theta ) in the limit of highly excited states.
{"title":"Phase distributions of squeezed number states and squeezed thermal states","authors":"A. Chizhov, Ts. Gantsog, B. Murzakhmetov","doi":"10.1088/0954-8998/5/2/004","DOIUrl":"https://doi.org/10.1088/0954-8998/5/2/004","url":null,"abstract":"Phase properties of squeezed number states and squeezed thermal states are studied. Exact analytical formulae for phase distributions based on different phase approaches are derived and illustrated graphically. It is shown that the phase quasiprobability distribution P(W)( theta ) associated with the Wigner function does not depend on the photon number of the initial number state and has the same form for both kinds of squeezed states under consideration while the Pegg-Barnett phase distribution and the phase quasiprobability distributions associated with the Q function and the Glauber-Sudarshan P function, approach P(W)( theta ) in the limit of highly excited states.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115286910","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1993-04-01DOI: 10.1088/0954-8998/5/2/006
T. Ralph, C. Savage
The authors calculate the cavity photon statistics of conventionally pumped four-level lasers using a diagonal number state representation. The results are in agreement with those obtained from previous treatments using linearized Fokker-Planck equations and predict sub-Poissonian photon statistics at sufficiently high pump rates.
{"title":"Squeezing from conventionally pumped lasers; a rate equation approach","authors":"T. Ralph, C. Savage","doi":"10.1088/0954-8998/5/2/006","DOIUrl":"https://doi.org/10.1088/0954-8998/5/2/006","url":null,"abstract":"The authors calculate the cavity photon statistics of conventionally pumped four-level lasers using a diagonal number state representation. The results are in agreement with those obtained from previous treatments using linearized Fokker-Planck equations and predict sub-Poissonian photon statistics at sufficiently high pump rates.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130490374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1993-04-01DOI: 10.1088/0954-8998/5/2/003
S. Smart, S. Swain
The authors calculate the resonance fluorescence spectrum of a two-level atom interacting with a resonant classical applied field and a squeezed vacuum for general values of the squeezing phase. They find that the spectra are asymmetric under the following conditions: (i) the Rabi frequency must not be too large and (ii) the squeezing phase should be of athe order pi /2. Large asymmetries are obtainable, even if the three peaks of the spectrum are clearly resolved. An interpretation is provided by means of a dressed state analysis. Under conditions (i) and (ii), they also find that very large differences in the dressed state populations can occur.
{"title":"Asymmetric two-level two-level resonance fluorescence spectra and dressed state populations in a squeezed vacuum","authors":"S. Smart, S. Swain","doi":"10.1088/0954-8998/5/2/003","DOIUrl":"https://doi.org/10.1088/0954-8998/5/2/003","url":null,"abstract":"The authors calculate the resonance fluorescence spectrum of a two-level atom interacting with a resonant classical applied field and a squeezed vacuum for general values of the squeezing phase. They find that the spectra are asymmetric under the following conditions: (i) the Rabi frequency must not be too large and (ii) the squeezing phase should be of athe order pi /2. Large asymmetries are obtainable, even if the three peaks of the spectrum are clearly resolved. An interpretation is provided by means of a dressed state analysis. Under conditions (i) and (ii), they also find that very large differences in the dressed state populations can occur.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127328688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1993-04-01DOI: 10.1088/0954-8998/5/2/002
M. Olivík
A coherent state technique is used to study dynamically induced frequency shifts in stimulated Raman scattering.
利用相干态技术研究了受激拉曼散射中动态引起的频移。
{"title":"On the dynamics of stimulated Raman scattering","authors":"M. Olivík","doi":"10.1088/0954-8998/5/2/002","DOIUrl":"https://doi.org/10.1088/0954-8998/5/2/002","url":null,"abstract":"A coherent state technique is used to study dynamically induced frequency shifts in stimulated Raman scattering.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127581452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1993-04-01DOI: 10.1088/0954-8998/5/2/001
M. Freyberger, K. Vogel, W. Schleich
The authors present an exact expression for the joint count probability in an eight-port homodyne detector used in a recent proposal for a phase measurement by Noh et al. (1992). For a strong local oscillator they relate this joint count probability to the Q-function of the arbitrary input state. This Q-function integrated over radius is the phase distribution corresponding to the phase operators of Noh et al.
{"title":"Quantum phase from photon counting and the Q-function","authors":"M. Freyberger, K. Vogel, W. Schleich","doi":"10.1088/0954-8998/5/2/001","DOIUrl":"https://doi.org/10.1088/0954-8998/5/2/001","url":null,"abstract":"The authors present an exact expression for the joint count probability in an eight-port homodyne detector used in a recent proposal for a phase measurement by Noh et al. (1992). For a strong local oscillator they relate this joint count probability to the Q-function of the arbitrary input state. This Q-function integrated over radius is the phase distribution corresponding to the phase operators of Noh et al.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131445140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1993-04-01DOI: 10.1088/0954-8998/5/2/005
U. Herzog
Squeezing in both intracavity and travelling-wave multiphoton absorption is investigated theoretically for incident intense nearly coherent light. It is shown that after sufficiently strong travelling-wave k-photon absorption (k=2,3...) a squeezed state of the radiation field is reached that is not a minimum uncertainty state. In this state the inphase and quadrature variances of the normalized electric field strength approach the asymptotic values k/(4(2k-1)) and k/4, respectively. With the help of an approximate Heisenberg picture treatment of a continuous mode field travelling through a broad-band k-photon absorber an analytical expression is obtained for the evolution of the squeezing spectrum in dependence on the degree of absorption. For intracavity multiphoton absorption the spectrum of output squeezing is investigated with the help of the usual Langevin equation approach. It turns out that the squeezing bandwidth in intracavity and travelling-wave multiphoton absorption is determined by the cavity bandwidth and the absorber linewidth, respectively.
{"title":"Squeezing in multiphoton absorption with and without a resonator","authors":"U. Herzog","doi":"10.1088/0954-8998/5/2/005","DOIUrl":"https://doi.org/10.1088/0954-8998/5/2/005","url":null,"abstract":"Squeezing in both intracavity and travelling-wave multiphoton absorption is investigated theoretically for incident intense nearly coherent light. It is shown that after sufficiently strong travelling-wave k-photon absorption (k=2,3...) a squeezed state of the radiation field is reached that is not a minimum uncertainty state. In this state the inphase and quadrature variances of the normalized electric field strength approach the asymptotic values k/(4(2k-1)) and k/4, respectively. With the help of an approximate Heisenberg picture treatment of a continuous mode field travelling through a broad-band k-photon absorber an analytical expression is obtained for the evolution of the squeezing spectrum in dependence on the degree of absorption. For intracavity multiphoton absorption the spectrum of output squeezing is investigated with the help of the usual Langevin equation approach. It turns out that the squeezing bandwidth in intracavity and travelling-wave multiphoton absorption is determined by the cavity bandwidth and the absorber linewidth, respectively.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131020003","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1993-02-01DOI: 10.1088/0954-8998/5/1/003
A. Banerjee
The author considers interaction of squeezed light with a non-linear Kerr medium modelled as an anharmonic oscillator. Evolution of quantum fluctuations in the field amplitude and the first-order coherence function have been studied for both the sub-Poissonian and super-Poissonian statistics. Further, the author has also investigated the effect of the squeezing parameter of the initial state. The results for the first-order coherence function are obtained analytically.
{"title":"Interaction of squeezed light with a Kerr medium","authors":"A. Banerjee","doi":"10.1088/0954-8998/5/1/003","DOIUrl":"https://doi.org/10.1088/0954-8998/5/1/003","url":null,"abstract":"The author considers interaction of squeezed light with a non-linear Kerr medium modelled as an anharmonic oscillator. Evolution of quantum fluctuations in the field amplitude and the first-order coherence function have been studied for both the sub-Poissonian and super-Poissonian statistics. Further, the author has also investigated the effect of the squeezing parameter of the initial state. The results for the first-order coherence function are obtained analytically.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"46 7","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134260781","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1993-02-01DOI: 10.1088/0954-8998/5/1/005
A. Luis, L. Sánchez‐Soto
Phase space distribution functions for multiphoton states are studied. These states are considered as resulting from a non-bijective canonical transformation, so their distribution functions are interpreted in terms of the special features of the representations of this kind of transformations. The transformation law for the Wigner function is given.
{"title":"Phase and statistical properties of multiphoton states","authors":"A. Luis, L. Sánchez‐Soto","doi":"10.1088/0954-8998/5/1/005","DOIUrl":"https://doi.org/10.1088/0954-8998/5/1/005","url":null,"abstract":"Phase space distribution functions for multiphoton states are studied. These states are considered as resulting from a non-bijective canonical transformation, so their distribution functions are interpreted in terms of the special features of the representations of this kind of transformations. The transformation law for the Wigner function is given.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130042881","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1993-02-01DOI: 10.1088/0954-8998/5/1/002
Wei-ping Zhang, D. Walls
A quantum field theory of the interaction of a light wave with ultracold atoms is presented. Both the light wave and the atoms are treated as quantum fields. As an example, the authors apply the quantum field theory to the diffraction of ultracold atoms by a standing wave laser.
{"title":"Quantum diffraction of ultracold atoms by a standing wave laser","authors":"Wei-ping Zhang, D. Walls","doi":"10.1088/0954-8998/5/1/002","DOIUrl":"https://doi.org/10.1088/0954-8998/5/1/002","url":null,"abstract":"A quantum field theory of the interaction of a light wave with ultracold atoms is presented. Both the light wave and the atoms are treated as quantum fields. As an example, the authors apply the quantum field theory to the diffraction of ultracold atoms by a standing wave laser.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133471899","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1993-02-01DOI: 10.1088/0954-8998/5/1/001
M. Fernée, P. Drummond
The effect of counter-rotating terms on the Jaynes-Cummings model of a two-level atom is studied. The technique of dynamical renormalization is used to generate a hybrid gauge which exists between the d.E and p.A gauges. The resulting truncated Hamiltonian including counter-rotating type terms has an interaction that couples the atomic inversion to the field intensity. This Hamiltonian is exactly soluble, resulting in a phase-dependent inversion, together with simultaneous frequency and refractive-index shifts.
{"title":"Dynamical renormalization of the Jaynes-Cummings model","authors":"M. Fernée, P. Drummond","doi":"10.1088/0954-8998/5/1/001","DOIUrl":"https://doi.org/10.1088/0954-8998/5/1/001","url":null,"abstract":"The effect of counter-rotating terms on the Jaynes-Cummings model of a two-level atom is studied. The technique of dynamical renormalization is used to generate a hybrid gauge which exists between the d.E and p.A gauges. The resulting truncated Hamiltonian including counter-rotating type terms has an interaction that couples the atomic inversion to the field intensity. This Hamiltonian is exactly soluble, resulting in a phase-dependent inversion, together with simultaneous frequency and refractive-index shifts.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123017887","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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