Pub Date : 2005-12-01DOI: 10.1088/1464-4266/7/12/026
Matthew M Milks, H. Guise
The construction of su(2) intelligent states is simplified using a polynomial representation of su(2). The cornerstone of the new construction is the diagonalization of a 2 × 2 matrix. The method is sufficiently simple to be easily extended to su(3), where one is required to diagonalize a single 3 × 3 matrix. For two perfectly general su(3) operators, this diagonalization is technically possible but the procedure loses much of its simplicity owing to the algebraic form of the roots of a cubic equation. Simplified expressions can be obtained by specializing the choice of su(3) operators. This simpler construction will be discussed in detail.
{"title":"Polynomial intelligent states","authors":"Matthew M Milks, H. Guise","doi":"10.1088/1464-4266/7/12/026","DOIUrl":"https://doi.org/10.1088/1464-4266/7/12/026","url":null,"abstract":"The construction of su(2) intelligent states is simplified using a polynomial representation of su(2). The cornerstone of the new construction is the diagonalization of a 2 × 2 matrix. The method is sufficiently simple to be easily extended to su(3), where one is required to diagonalize a single 3 × 3 matrix. For two perfectly general su(3) operators, this diagonalization is technically possible but the procedure loses much of its simplicity owing to the algebraic form of the roots of a cubic equation. Simplified expressions can be obtained by specializing the choice of su(3) operators. This simpler construction will be discussed in detail.","PeriodicalId":87441,"journal":{"name":"Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2005-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1088/1464-4266/7/12/026","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60914870","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 : 2005-12-01DOI: 10.1088/1464-4266/7/12/034
S. Hassan, Y. A. Sharaby
The steady state behaviour describing the interaction of a mesoscopic system of coherently injected two-level Rydberg atoms with a coherently driven single-mode cavity is investigated in both resonant and non-resonant regimes. Multiple-switching effects between the output field states are predicted with the atomic coherent excitation (θ) and relative coherent phase parameter (Φr) of the atomic coherent state . The relation between the transmitted field (x) and the atomic cooperation parameter (C) shows multistable behaviour for some values of the polar and azimuthal angles (θ,). The transverse field feature in the form of a Gaussian beam profile tends to degrade the multistable structure in the (C–x) and the input–output field (x–Y) relations. Micromaser action is analysed for the system with atomic coherence within and without the plane wave approximation.
{"title":"Mesoscopic multistability with atomic coherence effects","authors":"S. Hassan, Y. A. Sharaby","doi":"10.1088/1464-4266/7/12/034","DOIUrl":"https://doi.org/10.1088/1464-4266/7/12/034","url":null,"abstract":"The steady state behaviour describing the interaction of a mesoscopic system of coherently injected two-level Rydberg atoms with a coherently driven single-mode cavity is investigated in both resonant and non-resonant regimes. Multiple-switching effects between the output field states are predicted with the atomic coherent excitation (θ) and relative coherent phase parameter (Φr) of the atomic coherent state . The relation between the transmitted field (x) and the atomic cooperation parameter (C) shows multistable behaviour for some values of the polar and azimuthal angles (θ,). The transverse field feature in the form of a Gaussian beam profile tends to degrade the multistable structure in the (C–x) and the input–output field (x–Y) relations. Micromaser action is analysed for the system with atomic coherence within and without the plane wave approximation.","PeriodicalId":87441,"journal":{"name":"Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2005-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1088/1464-4266/7/12/034","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60915316","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 : 2005-12-01DOI: 10.1088/1464-4266/7/12/E02
W. Lange, C. Bedrock
{"title":"PREFACE: Final issue of Journal of Optics B: Quantum and Semiclassical Optics","authors":"W. Lange, C. Bedrock","doi":"10.1088/1464-4266/7/12/E02","DOIUrl":"https://doi.org/10.1088/1464-4266/7/12/E02","url":null,"abstract":"","PeriodicalId":87441,"journal":{"name":"Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2005-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1088/1464-4266/7/12/E02","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60915969","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 : 2005-12-01DOI: 10.1088/1464-4266/7/12/040
C. Sudheesh, S. Lakshmibala, V. Balakrishnan
We investigate the squeezing and higher-order squeezing properties of photon-added coherent states propagating through a Kerr-like medium, particularly close to instants of revivals and fractional revivals of the state. The Wigner functions at these instants are obtained, and the extent of non-classicality quantified.
{"title":"Squeezing and higher-order squeezing of photon-added coherent states propagating in a Kerr-like medium","authors":"C. Sudheesh, S. Lakshmibala, V. Balakrishnan","doi":"10.1088/1464-4266/7/12/040","DOIUrl":"https://doi.org/10.1088/1464-4266/7/12/040","url":null,"abstract":"We investigate the squeezing and higher-order squeezing properties of photon-added coherent states propagating through a Kerr-like medium, particularly close to instants of revivals and fractional revivals of the state. The Wigner functions at these instants are obtained, and the extent of non-classicality quantified.","PeriodicalId":87441,"journal":{"name":"Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2005-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1088/1464-4266/7/12/040","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60916169","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 : 2005-11-23DOI: 10.1088/1464-4266/7/12/052
H. Prakash, Pankaj Kumar
We study the simultaneous occurrence of second-order sub-Poissonian photon statistics and fourth-order squeezing for the operator Xθ = X1cosθ+X2sinθ, in the displaced state , where the Hermitian operators X1,2 are defined by X1+i X2 = a, the annihilation operator, D(α) = exp(αa+−α*a) is the displacement operator, α = |α|ei θ and is the state of the weak optical field. We show that the two phenomena occur simultaneously when the amplitude |α| of the displacement is very large as compared to the amplitude of the weak optical field. We also propose a balanced homodyne method for detection of fourth-order squeezed light in the same fashion as that for normal squeezing.
{"title":"Equivalence of second-order sub-Poissonian statistics and fourth-order squeezing for intense light","authors":"H. Prakash, Pankaj Kumar","doi":"10.1088/1464-4266/7/12/052","DOIUrl":"https://doi.org/10.1088/1464-4266/7/12/052","url":null,"abstract":"We study the simultaneous occurrence of second-order sub-Poissonian photon statistics and fourth-order squeezing for the operator Xθ = X1cosθ+X2sinθ, in the displaced state , where the Hermitian operators X1,2 are defined by X1+i X2 = a, the annihilation operator, D(α) = exp(αa+−α*a) is the displacement operator, α = |α|ei θ and is the state of the weak optical field. We show that the two phenomena occur simultaneously when the amplitude |α| of the displacement is very large as compared to the amplitude of the weak optical field. We also propose a balanced homodyne method for detection of fourth-order squeezed light in the same fashion as that for normal squeezing.","PeriodicalId":87441,"journal":{"name":"Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2005-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1088/1464-4266/7/12/052","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60915904","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 : 2005-11-23DOI: 10.1088/1464-4266/7/12/049
L. S. Aguiar, P. P. Munhoz, A. Vidiella-Barranco, J. Roversi
We investigate the entanglement properties of a system of two dipole–dipole coupled two-level atoms resonantly interacting with a thermal field in a high-Q cavity. We obtain the evolution operator for this system in an analytical form, and use it to evaluate the atom–atom entanglement through the calculation of the negativity. We find that, despite the destructive effect of thermal noise, the dipole interaction yields a considerable amount of entanglement between the two atoms.
{"title":"The entanglement of two dipole–dipole coupled atoms in a cavity interacting with a thermal field","authors":"L. S. Aguiar, P. P. Munhoz, A. Vidiella-Barranco, J. Roversi","doi":"10.1088/1464-4266/7/12/049","DOIUrl":"https://doi.org/10.1088/1464-4266/7/12/049","url":null,"abstract":"We investigate the entanglement properties of a system of two dipole–dipole coupled two-level atoms resonantly interacting with a thermal field in a high-Q cavity. We obtain the evolution operator for this system in an analytical form, and use it to evaluate the atom–atom entanglement through the calculation of the negativity. We find that, despite the destructive effect of thermal noise, the dipole interaction yields a considerable amount of entanglement between the two atoms.","PeriodicalId":87441,"journal":{"name":"Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2005-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1088/1464-4266/7/12/049","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60915785","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 : 2005-11-23DOI: 10.1088/1464-4266/7/12/046
H. Prakash, Rakesh Kumar
Squeezing of spin is usually discussed for x and y components (Sx and Sy), considering the commutation relation [Sx,Sy] = i SZ for the triad (Sx, Sy, SZ) of three mutually perpendicular spin components. We generalize and discuss squeezing of the spin component Sθ = Sxcosθ+Sysinθ considering all possible such triads, which include Sθ. For an explicit example involving the interaction of an assembly of two excited two-level atoms with single-mode coherent radiation, we find that Sθ and Sθ+π/2 can be squeezed simultaneously.
考虑到三个相互垂直的自旋分量(Sx, Sy, SZ)的三分量(Sx, Sy, SZ)的对易关系[Sx,Sy] = i SZ，通常讨论x和y分量(Sx和Sy)的自旋压缩。我们推广并讨论了自旋分量Sθ = Sxcosθ+Sysinθ的压缩，考虑了所有可能的三元组，其中包括Sθ。对于两个激发态二能级原子与单模相干辐射相互作用的显式例子，我们发现Sθ和Sθ+π/2可以同时被压缩。
{"title":"Simultaneous squeezing of two orthogonal spin components","authors":"H. Prakash, Rakesh Kumar","doi":"10.1088/1464-4266/7/12/046","DOIUrl":"https://doi.org/10.1088/1464-4266/7/12/046","url":null,"abstract":"Squeezing of spin is usually discussed for x and y components (Sx and Sy), considering the commutation relation [Sx,Sy] = i SZ for the triad (Sx, Sy, SZ) of three mutually perpendicular spin components. We generalize and discuss squeezing of the spin component Sθ = Sxcosθ+Sysinθ considering all possible such triads, which include Sθ. For an explicit example involving the interaction of an assembly of two excited two-level atoms with single-mode coherent radiation, we find that Sθ and Sθ+π/2 can be squeezed simultaneously.","PeriodicalId":87441,"journal":{"name":"Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2005-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1088/1464-4266/7/12/046","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60916156","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 : 2005-11-22DOI: 10.1088/1464-4266/7/12/032
F. Martini, L. Masullo, M. Ricci, F. Sciarrino, V. Secondi
An extensive characterization of the information flux underlying the universal cloning process is presented together with the realization of several cloning and measurement tasks. The restoration of both the quantum and classical information associated to the input qubit was theoretically analysed and experimentally accomplished. At the same time the extension of the cloning to the universal and covariant processes is reported with the first experimental optical realizations.
{"title":"Manipulating quantum information via quantum cloning","authors":"F. Martini, L. Masullo, M. Ricci, F. Sciarrino, V. Secondi","doi":"10.1088/1464-4266/7/12/032","DOIUrl":"https://doi.org/10.1088/1464-4266/7/12/032","url":null,"abstract":"An extensive characterization of the information flux underlying the universal cloning process is presented together with the realization of several cloning and measurement tasks. The restoration of both the quantum and classical information associated to the input qubit was theoretically analysed and experimentally accomplished. At the same time the extension of the cloning to the universal and covariant processes is reported with the first experimental optical realizations.","PeriodicalId":87441,"journal":{"name":"Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2005-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1088/1464-4266/7/12/032","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60915469","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 : 2005-11-22DOI: 10.1088/1464-4266/7/12/039
Z. Zukarnain, A. Konstadopoulou, A. Vourdas, R. Migliore, A. Messina
We consider two distant mesoscopic SQUID rings, approximated with two-level systems, interacting with two-mode microwaves. The Hamiltonian of the system is used to calculate its time evolution. The cases with microwaves which at t = 0 are in separable states (classically correlated) or entangled states (quantum mechanically correlated) are studied. It is shown that the Josephson currents in the two SQUID rings are also correlated.
{"title":"Entanglement of distant superconducting quantum interference device rings","authors":"Z. Zukarnain, A. Konstadopoulou, A. Vourdas, R. Migliore, A. Messina","doi":"10.1088/1464-4266/7/12/039","DOIUrl":"https://doi.org/10.1088/1464-4266/7/12/039","url":null,"abstract":"We consider two distant mesoscopic SQUID rings, approximated with two-level systems, interacting with two-mode microwaves. The Hamiltonian of the system is used to calculate its time evolution. The cases with microwaves which at t = 0 are in separable states (classically correlated) or entangled states (quantum mechanically correlated) are studied. It is shown that the Josephson currents in the two SQUID rings are also correlated.","PeriodicalId":87441,"journal":{"name":"Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2005-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1088/1464-4266/7/12/039","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60915723","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 : 2005-11-22DOI: 10.1088/1464-4266/7/12/036
M. S. Abdalla, A. Obada, M. Darwish
In the present paper we introduce a nonlinear binomial state (the state which interpolates between the nonlinear coherent and number states). The main investigation concentrates on the statistical properties for such a state where we consider the squeezing phenomenon by examining the variation in the quadrature variances for both normal and amplitude-squared squeezing. Examinations for the quasi-probability distribution functions (W-Wigner and Q-functions) are also given for both diagonal and off diagonal terms. The quadrature distribution and the phase distribution as well as the phase variances are discussed. Moreover, we give in detail a generation scheme for such state.
{"title":"Statistical properties of nonlinear intermediate states : binomial state","authors":"M. S. Abdalla, A. Obada, M. Darwish","doi":"10.1088/1464-4266/7/12/036","DOIUrl":"https://doi.org/10.1088/1464-4266/7/12/036","url":null,"abstract":"In the present paper we introduce a nonlinear binomial state (the state which interpolates between the nonlinear coherent and number states). The main investigation concentrates on the statistical properties for such a state where we consider the squeezing phenomenon by examining the variation in the quadrature variances for both normal and amplitude-squared squeezing. Examinations for the quasi-probability distribution functions (W-Wigner and Q-functions) are also given for both diagonal and off diagonal terms. The quadrature distribution and the phase distribution as well as the phase variances are discussed. Moreover, we give in detail a generation scheme for such state.","PeriodicalId":87441,"journal":{"name":"Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2005-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1088/1464-4266/7/12/036","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60915480","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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