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coherent states, INVERSE MAPPING FORMULA FOR WEYL TRANSFORMATIONS AND APPLICATION TO EQUATIONS OF KdV TYPE

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Acta Mathematicae Applicatae Sinica 1990年第3期6卷 193-204页

作者：钱敏徐平 Peking University Peking University

In this paper, we consider the trace of generalized operators and inverse Weyl *** of all we repeat the definition of test operators and generalized operators given in [18],denoting L~2(R) by H.

关键词： coherent states INVERSE MAPPING FORMULA FOR WEYL TRANSFORMATIONS AND APPLICATION TO EQUATIONS OF KdV TYPE

Quantum dual signature scheme based on coherent states with entanglement swapping

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Chinese Physics B 2016年第8期25卷 44-52页

作者：刘佳丽施荣华石金晶吕格莉郭迎 School of Information Science and Engineering Central South University

A novel quantum dual signature scheme, which combines two signed messages expected to be sent to two diverse receivers Bob and Charlie, is designed by applying entanglement swapping with coherent states. The signatory Alice signs two different messages with unitary operations（corresponding to the secret keys） and applies entanglement swapping to generate a quantum dual signature. The dual signature is firstly sent to the verifier Bob who extracts and verifies the signature of one message and transmits the rest of the dual signature to the verifier Charlie who verifies the signature of the other message. The transmission of the dual signature is realized with quantum teleportation of coherent states. The analysis shows that the security of secret keys and the security criteria of the signature protocol can be greatly *** extensional multi-party quantum dual signature scheme which considers the case with more than three participants is also proposed in this paper and this scheme can remain secure. The proposed schemes are completely suited for the quantum communication network including multiple participants and can be applied to the e-commerce system which requires a secure payment among the customer, business and bank.

关键词： quantum dual signature coherent states entanglement swapping quantum communication network

Wave packet dynamics of nonlinear Gazeau–Klauder coherent states of a position-dependent mass system in a Coulomb-like potential

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Chinese Physics B 2021年第6期30卷 154-163页

作者： Faustin Blaise Migueu Mercel Vubangsi Martin Tchoffo Lukong Cornelius Fai Unitéde Recherche de Matière Condensée d'Électronique et de Traitement du SignalDépartement de PhysiqueFacultédes SciencesUniversitéde DschangB.P:67DschangCameroon Computational Material Science Laboratory Higher Technical Teachers'Training College BambiliUniversity of BamendaPO Box 39BamendaCameroon Centre d'Études et de Recherches en Agronomie et en Biodiversité Universitéde DschangDschangCameroon

AD = 1 position-dependent mass approach to constructing nonlinear quantum states for a modified Coulomb potential is used to generate Gazeau–Klauder coherent states. It appears that their energy eigenvalues are scaled down by the quantum number and the nonlinearity coefficient. We study the basic properties of these states, which are found to be undefined on the whole complex plane, and some details of their revival structure are discussed.

关键词： deformed Coulomb potential energy spectrum coherent states photon number distribution quantum revivals

The Wigner function and phase properties of superposition of two coherent states with the vacuum state

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Chinese Physics B 2010年第7期19卷 268-275页

作者：王月媛王继成刘树田 Department of Physics Harbin Institute of Technology Key Laboratory for Advanced Functional Materials and Excited State Process of Heilongjiang Province School of Physics and Electronic EngineeringHarbin Normal University

This paper discusses some statistical properties of the superposition of two coherent states with a vacuum state, such as sub-Poissonian photon statistics and negativity of the Wigner function. Phase probability distribution and phase variance are calculated. Special cases of the constructed superposition states are presented. The results show that depending on the vacuum state coefficient γ and the coherent state coefficient a, it can generate a variety of nonclassical states.

关键词： coherent states vacuum state Wigner distribution function phase properties

Squeezing in the Real and Imaginary Spin coherent states

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Chinese Physics Letters 2005年第3期22卷 521-524页

作者：严冬王晓光吴令安 InstituteofAppliedPhysics ChangchunUniversityChangchun130022 ZhejiangInstituteofModernPhysics DepartmentofPhysicsZhejiangUniversityHangzhou310027 LaboratoryofOpticalPhysics InstituteofPhysicsChineseAcademyofSciencesBeijing100080

We study spin squeezing properties in the real and imaginary spin coherent states. We obtain analytical expressions of two spin squeezing parameters via a novel ladder operator formalism of the spin coherent state and the generation function method. Numerical results of the spin squeezing properties are discussed in detail, and the real and imaginary spin coherent state can be spin squeezed over a large range of parameters.

关键词： Squeezing Real Imaginary Spin coherent states

Generation of Superpositions of coherent Interaction states Along a Straight Line via Raman Interaction

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Communications in Theoretical Physics 2005年第6X期44卷 1073-1075页

作者： YANG Zhen-Biao Department of Electronic Science and Applied Physics Fuzhou University Fuzhou 350002 China

We present an alternative scheme for preparing the superpositions of coherent states along a straight line of a cavity field using degenerate atom-cavity field Raman interaction. In the scheme, a collection of A-type three-level atoms is orderly sent through the cavity to interact with the cavity field adjusted by a microwave source connected to it, followed by state-selective measurements. In this way, we can prepare the superpositions of several coherent states along a straight line with arbitrary weighting factors for the cavity field. In the scheme, the coherence of the atom-cavity system may be maintained and the second microwave field is unnecessary, which is prior to the previous scheme.

关键词： coherent states superpositions straight line Raman interaction

Generation of Four-Mode Cluster-Type Entangled coherent states in Free-Traveling Optical Fields

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Communications in Theoretical Physics 2011年第3期55卷 426-430页

作者： HE Dai-Guo DONG Yu-Li FANG Jian-Xing QIAN Li HU Jie School of Physical Science and Technology Suzhou University Suzhou 215006 China

In this paper, we propose an optical scheme to generate four-mode cluster-type entangled coherent states （ECSs） in free traveling optical fields by using two single-photon sources, coherent state sources, beam splitters, pho- todetectors, cross-Kerr media, and phase shifters. And the success probability of the states preparation is calculated. At last we discuss the experimental feasibility of such proposal.

关键词： cluster states coherent states beam splitters cross-Kerr media

Realistic teleportation of coherent states using squeezed vacuum states

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Chinese Physics B 2007年第9期16卷 2584-2586页

作者：闫伟张为俊 Laboratory of Environmental Spectroscopy Anhui Institute of Optics and Fine Mechanics Chinese Academy of Sciences Hefei 230031 China Department of Physics Qufu Normal University Qufu 273165 China

This paper presents a realistic scheme for the teleportation of coherent states in which a two-mode squeezed vacuum state serves as the quantum channel and the position-sum and momentum-difference of two local modes serve as the measuring observables. The average fidelity of the teleportation of coherent states is derived for finite squeezing parameters and it turns out that fidelity greater than 1/2 cannot be achieved by using a classical channel alone and the probability distribution of the measurement result is a Gaussian distribution around the unknown parameter of the input coherent state with a width given by the squeezing parameter.

关键词： quantum teleportation coherent states squeezed vacuum states

Using coherent states to Make Physically Correct Classical-to-Quantum Procedures That Help Resolve Nonrenomalizable Fields Including Einstein’s Gravity

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Journal of High Energy Physics, Gravitation and Cosmology 2021年第3期7卷 1019-1026页

作者： John R. Klauder Department of Physics and Department of Mathematics University of Florida Gainesville USA

Canonical quantization covers a broad class of classical systems, but that does not include all the problems of interest. Affine quantization has the benefit of providing a successful quantization of many important problems including the quantization of half-harmonic oscillators [1], non-renormalizable scalar fields, such as (ϕ12)3 [2] and (ϕ12)3 [3], as well as the quantum theory of Einstein’s general relativity [4]. The features that distinguish affine quantization are emphasized, especially, that affine quantization differs from canonical quantization only by the choice of classical variables promoted to quantum operators. coherent states are used to ensure proper quantizations are physically correct. While quantization of non-renormalizable covariant scalars and gravity are difficult, we focus on appropriate ultralocal scalars and gravity that are fully soluble while, in that case, implying that affine quantization is the proper procedure to ensure the validity of affine quantizations for non-renormalizable covariant scalar fields and Einstein’s gravity.

关键词： Physical Quantization coherent states Affine Quantization Non-Renormalizable Models Ultralocal Solutions