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Quantum Optical Squeezing Transform for Generalizing Fractional Fourier Transform

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Communications in Theoretical Physics 2008年第10期50卷 951-954页

作者： HU Li-Yun fan Hong-yi Department of Physics Shanghai Jiao Tong University Shanghai 200030 China

By establishing the relation between the optical scaled fractional Fourier transform （FFT） and quantum mechanical squeezing-rotating operator transform, we employ the bipartite entangled state representation of two-mode squeezing operator to extend the scaled FFT to more general cases, such as scaled complex FFT and entangled scaled FFT. The additiyity and eigenmodes are presented in quantum version. The relation between the scaled FFT and squeezing-rotating Wigner operator is studied.

关键词： squeezing transform scaled fractional Fourier transform IOWP technique

New Three-Mode Squeezing Operators Gained via Tripartite Entangled State Representation

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Communications in Theoretical Physics 2008年第1期49卷 225-228页

作者： JIANG Nian-Quan fan Hong-yi College of Physics and Electric Information Wenzhou University Wenzhou 325035 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China

We show that the Agarwal-Simon representation of single-mode squeezed states can be generalized to find new form of three-mode squeezed states. We use the tripartite entangled state representations ｜p, y, z） and ｜x... 详细信息

关键词： tripartite entangled state three-mode squeezing operator IWOP technique

Quantum Fluctuation in Mesoscopic Coupled LC Electric Circuits at Finite Temperature

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Communications in Theoretical Physics 2001年第3期35卷 271-274页

作者： Liang Xian-Ting fan Hong-yi Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China

We consider the quantization of two coupled LC circuits with mutual inductance at a finite temperature T. It is shown that the quantum mechanical zero-point fluctuations of currents in the two circuits both increase with upgoing T. Thermal field dynamics and Weyl-Wigner theorern are used in our calculation of ensemble average of the observables.

关键词： LC电路量子涨落介观耦合

Gaussian Integral Formula for Quaternions Based on Class Operator's Formula of Rotation Group

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Communications in Theoretical Physics 2008年第10期50卷 861-863页

作者： fan Hong-yi XU Zhi-Hua Department of Physics Shanghai Jiao Tong University Shanghai 200030 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China

Abstract There exists rare integration formulas over quaternions due to the noncommutativity of quarternions multplication. Based on the class operator＇s formula of rotation group we derive a Gaussian integral formul... 详细信息

关键词： Gaussian integration for quaternions rotation group class operator

On Fermionic Entangled State Representation and Fermionic Entangled Wigner Operator

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Communications in Theoretical Physics 2007年第2X期48卷 245-248页

作者： fan Hong-yi WANG Ji-Suo Department of Physics Shanghai Jiao Tong University Shanghai 200030 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China Department of Physics Liaocheng University Liaocheng 252059 China

By analogy with the bosonic bipartite entangled state we construct fermionic entangled state with the Grassmann numbers. The Wigner operator in the fermionic entangled state representation is introduced, whose marginal distributions are understood in an entangled way. The technique of integration within an ordered product （IWOP） of Fermi operators is used in our discussion.

关键词： fermionic entangled state fermionic Wigner sperator

Solving Laguerre-Gauss Mode Eigenvectors and Eigenfunctions in Entangled State Representation

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Communications in Theoretical Physics 2006年第4期45卷 617-620页

作者： fan Hong-yi GAO Wei-Bo Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China Department of Modern Physics University of Science and Technology of China Hefei 230026 China

We solve the Laguerre-Gauss mode eigenvectors and eigenfunctions in the entangled state representation by searching for common eigenvectors of the 2-dimensional harmonic oscillator＇s total energy operator and the angular momentum operator, We find that in the entangled state representation the eigen-solution satisfies the Hukuhara equation, and its solution is confluent hypergeometric function.

关键词： Laguerre-Gauss modes entangled state representation

On Common Eigenvector of Parametric Interaction Hamiltonian and Number-Difference Operator Derived by Virtue of Entangled State Representation

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Communications in Theoretical Physics 2007年第1期47卷 139-142页

By virtue of the properties of bipartite entangled state representation we derive the common eigenvector of the parametric Hamiltonian and the two-mode number-difference operator. This eigenvector is superposition of some definite two-mode Foek states with the coefficients being proportional to hypergeometric functions. The Gauss contiguous relation of hypergeometrie functions is used to confirm the formal solution.

关键词： bipartiteentangled state representation number-difference operator hypergeometric functions

On Mutual Transform Between Number-Difference State and Phase State Corresponding to Operational Phase Operator

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Communications in Theoretical Physics 2005年第3X期44卷 537-540页

作者： fan Hong-yi HU Hai-Peng Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China

In the mutual transform between the number-difference state and the phase state corresponding to the operational phase operator we find that there exists an end-point ambiguousness. This problem can be avoided by Ligh... 详细信息

关键词： operational phase operator phase state end-point ambiguousness

A Few Remarks on Milburn Equation

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Communications in Theoretical Physics 2009年第7期52卷 85-87页

作者： CHEN Jun-Hua fan Hong-yi Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China

After presenting the infinite operator-sum form solution to the Milburn equation dp/dt=γ（UρU^f - ρ）=γU[p, Uf], where U=e^-iH/hγ, and verifying that this equation preserves the three necessary conditions of density operators during time evolution, we prove that the yon Neumann entropy increases with time. We also point out that if A and B both obey the Milburn equation, then theproduct AB obeys （d/dt）（AB） = γU[AB, U^f]-（1/γ）（dA/dt）（dB/dt）, which violates the Milburn equation, this reflects that a pure state will evolve to a mixture in general

关键词： Milburn equation density operator evolution von Neumann entropy