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Search Results: 1 - 10 of 68117 matches for " YUAN Hong-chun "
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Exact solution for the thermo Jaynes--Cummings model

Yuan Hong-Chun,Fan Hong-Yi,

中国物理 B , 2009,
Abstract: Based on the construction of supersymmetric generators, we use the Lewis--Riesenfeld invariant method to deduce the exact and explicit eigen-energy spectrum with the time-dependent thermo Jaynes--Cummings model. One of the advantages of this approach is that it can transform the hidden form, related to the chronological product, of the time evolution operator into an explicit expression. Moreover, the dynamical and statistics properties of physical quantities are obtained for the given initial states in the thermo Jaynes--Cummings system.
New transformation of Wigner operator in phase space quantum mechanics for the two-mode entangled case

Fan Hong-Yi,Yuan Hong-Chun,

中国物理 B , 2010,
Abstract:
New transformation of Wigner operator in phase space quantum mechanics for the two-mode entangled case
Hong-yi Fan,Hong-chun Yuan
Physics , 2009, DOI: 10.1088/1674-1056/19/7/070301
Abstract: As a natural extension of Fan's paper (arXiv: 0903.1769vl [quant-ph]) by employing the formula of operators' Weyl ordering expansion and the bipartite entangled state representation we find new two-fold complex integration transformation about the Wigner operator (in its entangled form) in phase space quantum mechanics and its inverse transformation. In this way, some operator ordering problems can be solved and the contents of phase space quantum mechanics can be enriched.
New approach for deriving operator identities by alternately using normally, antinormally, and Weyl ordered integration
Hong-yi Fan,Hong-chun Yuan
Physics , 2009,
Abstract: Dirac's ket-bra formalism is the "language" of quantum mechanics and quantum field theory. In Refs.(Fan et al, Ann. Phys. 321 (2006) 480; 323 (2008) 500) we have reviewed how to apply Newton-Leibniz integration rules to Dirac's ket-bra projectors. In this work by alternately using the technique of integration within normal, antinormal, and Weyl ordering of operators we not only derive some new operator ordering identities, but also deduce some useful integration formulas regarding to Laguerre and Hermite polynomials. This opens a new route of deriving mathematical integration formulas by virtue of the quantum mechanical operator ordering technique.
Comment on "Single-mode excited entangled coherent states"
Hong-chun Yuan,Li-yun Hu
Mathematics , 2009, DOI: 10.1088/1751-8113/43/1/018001
Abstract: In Xu and Kuang (\textit{J. Phys. A: Math. Gen.} 39 (2006) L191), the authors claim that, for single-mode excited entangled coherent states $| \Psi_{\pm}(\alpha,m)>$, \textquotedblleft the photon excitations lead to the decrease of the concurrence in the strong field regime of $| \alpha | ^{2}$ and the concurrence tends to zero when $| \alpha | ^{2}\to \infty$". This is wrong.
Time evolution of Wigner functions governed by bipartite Hamiltonian system with kinetic coupling
Xu, Ye-Jun;Liu, Qiu-Yu;Yuan, Hong-Chun;Fan, Hong-Yi;
Brazilian Journal of Physics , 2010, DOI: 10.1590/S0103-97332010000100013
Abstract: for the bipartite hamiltonian system with kinetic coupling, we derive time evolution equation of wigner functions by virtue of the bipartite entangled state representation and entangled wigner operator, which just indicates that choosing a good representation indeed provides great convenience for us to deal with the dynamics problem.
Operators'' s-parameterized ordering and its classical correspondence in quantum optics theory

Fan Hong-Yi,Yuan Hong-Chun,Hu Li-Yun,

中国物理 B , 2010,
Abstract: In reference to the Weyl ordering , where X and P are coordinate and momentum operator, respectively, this paper examines operators' s-parameterized ordering and its classical correspondence, finds the fundamental function-operator correspondence and its complementary relation , where Hm,n is the two-variable Hermite polynomial, are bosonic annihilation and creation operators respectively, s is a complex parameter. The s'-ordered operator power-series expansion of s-ordered operator in terms of the two-variable Hermite polynomial is also derived. Application of operators' s-ordering formula in studying displaced-squeezed chaotic field is discussed.
Generalized photon-added coherent state and its quantum statistical properties

Yuan Hong-Chun,Xu Xue-Xiang,Fan Hong-Yi,

中国物理 B , 2010,
Abstract: In this paper, we propose a class of the generalized photon-added coherent states (GPACSs) obtained by repeatedly operating the combination of Bosonic creation and annihilation operatoes on the coherent state. The normalization factor of GPACS is related to Hermite polynomial. We also derive the explicit expressions of its statistical properties such as photocount distribution, Wigner function and tomogram and investigate their behaviour as the photon-added number varies graphically. It is found that GPACS is a kind of nonclassical state since Wigner function exhibits the negativity by increasing the photon-added number.
Decoherence of photon-subtracted squeezed vacuum state in dissipative channel

Xu Xue-Xiang,Yuan Hong-Chun,Fan Hong-Yi,

中国物理 B , 2011,
Abstract: This paper investigates the decoherence of photo-subtracted squeezed vacuum state (PSSVS) in dissipative channel by describing its statistical properties with time evolution such as Wigner function, Husimi function, and tomogram. It first calculates the normalization factor of PSSVS related to Legendre polynomial. After deriving the normally ordered density operator of PSSVS in dissipative channel, one obtains the explicit analytical expressions of time evolution of PSSVS's statistical distribution function. It finds that these statistical distributions loss their non-Gaussian nature and become Gaussian at last in the dissipative environment as expected.
Applying invariant eigen-operator method to deriving normal coordinates of general classical Hamiltonian

Fan Hong-Yi,Chen Jun-Hua,Yuan Hong-Chun,

中国物理 B , 2010,
Abstract: For classical Hamiltonian with general form we find a new convenient way to obtain its normal coordinates, namely, let H be quantised and then employ the invariant eigen-operator (IEO) method (Fan et al. 2004 Phys. Lett. A 321 75) to derive them. The general matrix equation, which relies on M and L, for obtaining the normal coordinates of H is derived.
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