Pub Date : 1994-04-01DOI: 10.1088/0954-8998/6/2/003
J. Bounds, H. Haus
The commutators of the noise sources associated with the Raman self frequency shift are derived. Lower limits on the phase noise of solitons are derived solely from the commutators without any detailed model of the Raman process.
{"title":"Quantum noise of Raman amplification","authors":"J. Bounds, H. Haus","doi":"10.1088/0954-8998/6/2/003","DOIUrl":"https://doi.org/10.1088/0954-8998/6/2/003","url":null,"abstract":"The commutators of the noise sources associated with the Raman self frequency shift are derived. Lower limits on the phase noise of solitons are derived solely from the commutators without any detailed model of the Raman process.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114430606","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 : 1994-04-01DOI: 10.1088/0954-8998/6/2/006
X. Li, W. Cai, R. Marani, M. Lax
The master equation for a two-mode laser operating off-resonantly in a three-level medium has been solved numerically in the steady-state regime. It is found that due to strong correlation effects the laser can undergo a mode-competition process before the two modes anomalously support mutually. The formal parameter H introduced by Chu and Su (1982) has been calculated and found to behave quite differently from what was estimated. Therefore, neglecting the correlations may lead to loss of important information about the operation properties.
{"title":"Solutions of the master equation of two-mode lasers","authors":"X. Li, W. Cai, R. Marani, M. Lax","doi":"10.1088/0954-8998/6/2/006","DOIUrl":"https://doi.org/10.1088/0954-8998/6/2/006","url":null,"abstract":"The master equation for a two-mode laser operating off-resonantly in a three-level medium has been solved numerically in the steady-state regime. It is found that due to strong correlation effects the laser can undergo a mode-competition process before the two modes anomalously support mutually. The formal parameter H introduced by Chu and Su (1982) has been calculated and found to behave quite differently from what was estimated. Therefore, neglecting the correlations may lead to loss of important information about the operation properties.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126817586","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 : 1994-04-01DOI: 10.1088/0954-8998/6/2/004
Y. Cuche
We study the position and the stability of the fixed points of the classical spin-boson model, using cartesian coordinates for describing the classical spin. In that way, we avoid some singularities which appear in the dynamical system written with the usual angular coordinates. This paper has to be read as a critical complement of a previous one written by de Aguiar et al. (ibid., vol.3, p.305, 1991). Comparing our results with those, we have found one more fixed point, and our conclusions on the stability of some other fixed points reveal some disagreement.
{"title":"Fixed points analysis of the classical spin-boson model","authors":"Y. Cuche","doi":"10.1088/0954-8998/6/2/004","DOIUrl":"https://doi.org/10.1088/0954-8998/6/2/004","url":null,"abstract":"We study the position and the stability of the fixed points of the classical spin-boson model, using cartesian coordinates for describing the classical spin. In that way, we avoid some singularities which appear in the dynamical system written with the usual angular coordinates. This paper has to be read as a critical complement of a previous one written by de Aguiar et al. (ibid., vol.3, p.305, 1991). Comparing our results with those, we have found one more fixed point, and our conclusions on the stability of some other fixed points reveal some disagreement.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125520844","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 : 1994-04-01DOI: 10.1088/0954-8998/6/2/002
B. Baseia, C. M. Dantas, V. Bagnato, R. Vyas
In a previous paper (ibid. vol.5, p.155, 1993), we studied squeezing of mechanical motion for a particle trapped in oscillating fields. We considered a model proposed by Glauber and time-dependent transformations to show that the system may exhibit quantum fluctuations below the shot noise level. Here we pursue this investigation to discuss the regions of instability, where for a certain range of parameters, variance of quadrature phase amplitudes continues to grow with time.
{"title":"Particle trapping by oscillating fields: regions of instability in quantum fluctuations","authors":"B. Baseia, C. M. Dantas, V. Bagnato, R. Vyas","doi":"10.1088/0954-8998/6/2/002","DOIUrl":"https://doi.org/10.1088/0954-8998/6/2/002","url":null,"abstract":"In a previous paper (ibid. vol.5, p.155, 1993), we studied squeezing of mechanical motion for a particle trapped in oscillating fields. We considered a model proposed by Glauber and time-dependent transformations to show that the system may exhibit quantum fluctuations below the shot noise level. Here we pursue this investigation to discuss the regions of instability, where for a certain range of parameters, variance of quadrature phase amplitudes continues to grow with time.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134601049","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 : 1994-04-01DOI: 10.1088/0954-8998/6/2/005
Z. Ficek, R. Tanas
We examine squeezing properties of resonance fluorescence from two interacting atoms. Previous theoretical analyses of this model have predicted squeezing on one-photon resonance. Here we show that it is possible to obtain squeezing in two-atom resonance fluorescence through two-photon transitions induced by a cooperative atomic interaction. The squeezing occurs near a two-photon resonance and is not sensitive to the duration of the detection time in comparison with the decay time of the subradiant state. Moreover, squeezing near a two-photon resonance is completely independent of the direction of observation in respect to the atomic axis and can be significantly larger than that previously found on one-photon resonance.
{"title":"Squeezing in two-atom resonance fluorescence induced by two-photon coherences","authors":"Z. Ficek, R. Tanas","doi":"10.1088/0954-8998/6/2/005","DOIUrl":"https://doi.org/10.1088/0954-8998/6/2/005","url":null,"abstract":"We examine squeezing properties of resonance fluorescence from two interacting atoms. Previous theoretical analyses of this model have predicted squeezing on one-photon resonance. Here we show that it is possible to obtain squeezing in two-atom resonance fluorescence through two-photon transitions induced by a cooperative atomic interaction. The squeezing occurs near a two-photon resonance and is not sensitive to the duration of the detection time in comparison with the decay time of the subradiant state. Moreover, squeezing near a two-photon resonance is completely independent of the direction of observation in respect to the atomic axis and can be significantly larger than that previously found on one-photon resonance.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121169085","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 : 1994-02-01DOI: 10.1088/0954-8998/6/1/001
W. Munro, M. Reid
We suggest a new set of experiments designed to generate mesoscopic states which show a violation of a Bell's inequality. Possible experiments using parametric amplification are analysed and the effects of inefficient and noisy detection are discussed.
{"title":"Violations of Bell's inequalities in multiparticle states generated using parametric amplification","authors":"W. Munro, M. Reid","doi":"10.1088/0954-8998/6/1/001","DOIUrl":"https://doi.org/10.1088/0954-8998/6/1/001","url":null,"abstract":"We suggest a new set of experiments designed to generate mesoscopic states which show a violation of a Bell's inequality. Possible experiments using parametric amplification are analysed and the effects of inefficient and noisy detection are discussed.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124607917","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 : 1994-02-01DOI: 10.1088/0954-8998/6/1/005
Daoqi Yu, M. Hillery
General solutions to the eigenvalue equation for amplitude-squared squeezed minimum uncertainty states have been found and investigated. An expression for the average photon number in these states is derived. The Q-function as well as the photocount distribution of these states has been investigated. Plots of Q-functions indicate that the 'manner' of amplitude-squared squeezing is different from that of normal squeezing. It is shown that twofold and fourfold symmetry of Q-function in phase space is related to the suppression of certain terms of the photocount probability for a quantum state. Finally, oscillation of the photocount probability in highly squeezed minimum uncertainty states for amplitude-squared squeezing has been found and interpreted in terms of 'interference in phase space'.
{"title":"Minimum uncertainty states for amplitude-squared squeezing: general solutions","authors":"Daoqi Yu, M. Hillery","doi":"10.1088/0954-8998/6/1/005","DOIUrl":"https://doi.org/10.1088/0954-8998/6/1/005","url":null,"abstract":"General solutions to the eigenvalue equation for amplitude-squared squeezed minimum uncertainty states have been found and investigated. An expression for the average photon number in these states is derived. The Q-function as well as the photocount distribution of these states has been investigated. Plots of Q-functions indicate that the 'manner' of amplitude-squared squeezing is different from that of normal squeezing. It is shown that twofold and fourfold symmetry of Q-function in phase space is related to the suppression of certain terms of the photocount probability for a quantum state. Finally, oscillation of the photocount probability in highly squeezed minimum uncertainty states for amplitude-squared squeezing has been found and interpreted in terms of 'interference in phase space'.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134092980","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 : 1994-02-01DOI: 10.1088/0954-8998/6/1/003
G. C. Hegerfeldt, M. Plenio
The term quantum beats refers to a superposed oscillatory behaviour in the light intensity emitted by some suddenly excited atomic systems in their subsequent decay. In this paper we reinvestigate quantum beats for systems where two upper levels may decay to a common ground state by using the recently developed approach of quantum jumps. The treatment turns out to be very simple and intuitive. It gives explicit expressions for the time-dependent intensity of the radiating system and allows us to exhibit several phenomena which so far seem to have been overlooked. We show that quantum beats may also occur if only one of the upper levels is initially excited, a superposition is not needed. A possible experimental set-up for the verification of this effect is proposed. It is also shown that in some cases the beat frequency may differ considerably from the separation delta omega of the upper levels. For equal Einstein coefficients of the upper levels the beats are shown to be unexpectedly absent for small delta omega .
{"title":"Quantum beats revisited: a quantum jump approach","authors":"G. C. Hegerfeldt, M. Plenio","doi":"10.1088/0954-8998/6/1/003","DOIUrl":"https://doi.org/10.1088/0954-8998/6/1/003","url":null,"abstract":"The term quantum beats refers to a superposed oscillatory behaviour in the light intensity emitted by some suddenly excited atomic systems in their subsequent decay. In this paper we reinvestigate quantum beats for systems where two upper levels may decay to a common ground state by using the recently developed approach of quantum jumps. The treatment turns out to be very simple and intuitive. It gives explicit expressions for the time-dependent intensity of the radiating system and allows us to exhibit several phenomena which so far seem to have been overlooked. We show that quantum beats may also occur if only one of the upper levels is initially excited, a superposition is not needed. A possible experimental set-up for the verification of this effect is proposed. It is also shown that in some cases the beat frequency may differ considerably from the separation delta omega of the upper levels. For equal Einstein coefficients of the upper levels the beats are shown to be unexpectedly absent for small delta omega .","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134088553","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 : 1994-02-01DOI: 10.1088/0954-8998/6/1/004
C. Lee
The well known Q parameter introduced by Mandel (1958) is generalized to higher orders. The photodetection of a cavity radiation is considered as continuous quantum measurement which consists of one-count and no-count processes. The evolutions of the generalized Q parameters under both the one-count and the no-count processes are studied, emphasizing their relevance to the classical or non-classical characteristics of the radiation.
{"title":"Generalized Q parameters and their evolution under continuous photodetection","authors":"C. Lee","doi":"10.1088/0954-8998/6/1/004","DOIUrl":"https://doi.org/10.1088/0954-8998/6/1/004","url":null,"abstract":"The well known Q parameter introduced by Mandel (1958) is generalized to higher orders. The photodetection of a cavity radiation is considered as continuous quantum measurement which consists of one-count and no-count processes. The evolutions of the generalized Q parameters under both the one-count and the no-count processes are studied, emphasizing their relevance to the classical or non-classical characteristics of the radiation.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"131 2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124252067","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 : 1993-12-01DOI: 10.1088/0954-8998/5/6/004
J. L. Paz, A. Cardenas, Antonio J. Hernández
The effect of an intense pump field and the chemical concentration of the solution on the forward four-wave mixing signal of molecular systems with an inhomogeneous distribution of resonance frequencies, has been studied. A perturbative treatment to all orders in the pump and to first order in the probe and signal beams, including the propagation of the fields as the variable to be studied, was used. The present results are compared to local regimes of propagation and to the case of a homogeneously distributed spectral line. The behaviour of the non-linear signal, characterized by tridimensional intensity surfaces, is explained in terms of saturation and/or absorption processes taking place under the present study conditions.
{"title":"Effects of solute concentration, field intensity and spectral inhomogeneous broadening on four-wave mixing","authors":"J. L. Paz, A. Cardenas, Antonio J. Hernández","doi":"10.1088/0954-8998/5/6/004","DOIUrl":"https://doi.org/10.1088/0954-8998/5/6/004","url":null,"abstract":"The effect of an intense pump field and the chemical concentration of the solution on the forward four-wave mixing signal of molecular systems with an inhomogeneous distribution of resonance frequencies, has been studied. A perturbative treatment to all orders in the pump and to first order in the probe and signal beams, including the propagation of the fields as the variable to be studied, was used. The present results are compared to local regimes of propagation and to the case of a homogeneously distributed spectral line. The behaviour of the non-linear signal, characterized by tridimensional intensity surfaces, is explained in terms of saturation and/or absorption processes taking place under the present study conditions.","PeriodicalId":130003,"journal":{"name":"Quantum Optics: Journal of The European Optical Society Part B","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123061008","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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