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Fan Hongyi - One of the best experts on this subject based on the ideXlab platform.
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generalized thermo Vacuum State derived by the partial trace method
Chinese Physics Letters, 2009Co-Authors: Hu Liyun, Fan HongyiAbstract:By virtue of the technique of integration within an ordered product of operators, we present a new approach for deriving the generalized thermo Vacuum State which is simpler in form than that obtained from the Takahashi—Umezawa method. using this new approach, the thermo field dynamics can be developed. Applications of the new State are discussed.
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generalized wigner operator and bivariate normal distribution in p q phase space
Communications in Theoretical Physics, 2008Co-Authors: Fan Hongyi, Wang TongtongAbstract:We introduce a kind of generalized Wigner operator, whose normally ordered form can lead to the bivariate normal distribution in p-q phase space. While this bivariate normal distribution corresponds to the pure Vacuum State in the generalized Wigner function phase space, it corresponds to a mixed State in the usual Wigner function phase space.
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two variable hermite polynomial excitation of two mode squeezed Vacuum State as squeezed two mode number State
Communications in Theoretical Physics, 2008Co-Authors: Hu Liyun, Fan HongyiAbstract:We find that the squeezed two-mode number State is just a two-variable Hermite polynomial excitation of the two-mode squeezed Vacuum State (THPES). We find that the Wigner function of THPES and its marginal distributions are just related to two-variable Hermite polynomials (or Laguerre polynomials) and that the tomogram of THPES can be expressed by one-mode Hermite polynomial.
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new approach for calculating wigner functions of generalized two mode squeezed State and squeezed number State via entangled State representation
Communications in Theoretical Physics, 2001Co-Authors: Fan Hongyi, Cheng HailingAbstract:We construct the generalized squeezed Vacuum State by virtue of the entangled State [Fan Hongyi and J.R. Klauder, Phys. Rev. A47 (1994) 777] and derive the quantum fluctuation of the two-mode quadrature operators.We then calculate Wigner functions of the two-mode squeezed number States and generalized squeezing Vacuum State in a new approach which makes full use of the representation, the results are neater and more concise than those in the literature before.
Hong-chun Yuan - One of the best experts on this subject based on the ideXlab platform.
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Single-mode squeezed Vacuum State orthogonalization via photon-addition operation
Optik, 2019Co-Authors: Hong-chun Yuan, Jian-wen CaiAbstract:Abstract We construct some orthogonal States for single-mode squeezed Vacuum State (SVS) and study their nonclassicality by virtue of the quadrature squeezing and the Wigner function. The orthogonalizer is based on the photon-addition operation, i.e., the repeated (m times) application of the photon creation operator. The orthogonal State and the photon-addition single-mode SVS are same for odd m but different for even m. The squeezing effect of the orthogonal States will exhibit when the origin squeezing parameter is greater than a certain value. Moreover, the negativity of the Wigner function shows their nonclassicality.
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generating two variable hermite polynomial excited squeezed Vacuum States by conditional measurement on beam splitters
Optik, 2018Co-Authors: Hong-chun YuanAbstract:Abstract A alternative scheme is theoretically proposed to generate a two-mode non-Gaussian entangled State, named as two-variable Hermite polynomial excited squeezed Vacuum State (THPESVS), where each mode of a two-mode squeezed Vacuum State undergoes interference at a tunable beam splitter (BS), followed by conditional multi-photon measurements in one of the output ports. Especially, the analytical expression of the success probability of detection is obtained, which is related to the Jacobi polynomials, depending on the input squeezing parameter, the transmission coefficients of BSs and the photon number of detection. It is found that THPESVS may exhibit a wide range of entanglement phenomena by tuning the above parameters of their interaction. Our work provides general analysis on how to prepare polynomial quantum entangled States, which may be useful in the fields of quantum information and quantum computation.
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FLUCTUATIONS AT FINITE TEMPERATURE AND THERMODYNAMICS OF MESOSCOPIC RLC CIRCUIT CALCULATED BY USING GENERALIZED THERMAL Vacuum State
Modern Physics Letters B, 2011Co-Authors: Hong-chun Yuan, Xue-xiang Xu, Xue-fen XuAbstract:By using the partial trace method and the technique of integration within an ordered product of operators we obtain the explicit expression of the generalized thermal Vacuum State (GTVS) for an RLC circuit instead of using the Takahashi–Umezawa approach. According to thermal field dynamics (TFD), namely, the expectation value of physical observables in this GTVS is equivalent to their ensemble average, based on GTVS we successfully derive the quantum fluctuations at nonzero temperature and the thermodynamical relations for the mesoscopic RLC circuit. Our results show that the higher the temperature is, the more quantum noise the RLC circuit exhibits.
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excited two mode generalized squeezed Vacuum State as a squeezed two variable hermite polynomial excitation State
International Journal of Theoretical Physics, 2010Co-Authors: Hong-chun Yuan, Qiuyu LiuAbstract:A new class of excited two-mode generalized squeezed Vacuum States denoted by |r,s,m,n〉 are presented, which are obtained by repeatedly applying creation operators a† and b† on the two-mode generalized squeezed Vacuum State. We find that it is just regarded as a generalized squeezed two-variable Hermite polynomial excitation on the Vacuum State and its normalization constant is just a Jacobi polynomial. Their statistical properties are investigated such as squeezing properties, photon number distribution and the violations of Cauchy-Schwartz inequality. Especially, the Wigner function for |r,s,m,n〉 depending on the excitation photon numbers is discussed graphically.
Ji-suo Wang - One of the best experts on this subject based on the ideXlab platform.
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the quantum fluctuations of mesoscopic damped mutual capacitance coupled double resonance rlc circuit in excitation State of the squeezed Vacuum State
International Journal of Theoretical Physics, 2006Co-Authors: Ji-suo WangAbstract:Mesoscopic damped double resonance mutual capacitance coupled RLC circuit is quantized by the method of damped harmonic oscillator quantization. The Hamiltonian is diagonalized by unitary transformation. The eigenenergy spectra of this circuit are given. The quantum fluctuations of the charges and current of each loop are researched in excitation State of the squeezed Vacuum State, the squeezed Vacuum State and in Vacuum State. It is show that, the quantum fluctuations of the charges and current are related to not only circuit inherent parameter and coupled magnitude, but also quantum number of excitation, squeezed coefficients, squeezed angle and damped resistance. And, because of damped resistance, the quantum fluctuation decay along with time.
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Quantum Effects of Mesoscopic RLC Circuit in Squeezed Vacuum State
International Journal of Theoretical Physics, 1998Co-Authors: Ji-suo WangAbstract:Starting from the equation of motion of anactive RLC circuit, the quantum effects of charge andcurrent in the mesoscopic circuit (RLC circuit) in thesqueezed Vacuum State are investigated.
Hongyi Fan - One of the best experts on this subject based on the ideXlab platform.
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expectation value theorem for thermo Vacuum States of optical chaotic field and negative binomial field
International Journal of Theoretical Physics, 2016Co-Authors: Zhilong Wan, Hongyi FanAbstract:For the density operator (mixed State) describing chaotic light and negative-binomial field there exist the corresponding thermal Vacuum State (pure State) in the real-fictitious space. Using the method of integration within ordered product of operators we find the expectation value theorem in these two thermo Vacuum States respectively. The thermal average theorem of translation operator is also deduced. Application of the new thermo Vacuum State in calculating photon number disturibution and fluctuation and thermal average is presented.
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parametric amplifier studied as time evolution of angular momentum system in entangled State representation
International Journal of Theoretical Physics, 2015Co-Authors: Hongyi FanAbstract:We present a new approach for studying theoretical model of a parametric amplifier. We show that time-evolution of parametric amplifier can be treated as formalism of angular momentum system by using the newly found bosonic operator realization of three generators (J +, J −, J z ). The entangled State representation is essential in this approach. The transition probability from Vacuum State to two-mode squeezed State in a parametric amplifier can be directly evaluated.
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generalized thermo Vacuum State derived by the partial trace method
arXiv: Quantum Physics, 2009Co-Authors: Hongyi FanAbstract:By virtue of the technique of integration within an ordered product (IWOP) of operators we present a new approach for deriving generalized thermo Vacuum State which is simpler in form that the result by using the Umezawa-Takahashi approach, in this way the thermo field dynamics can be developed. Applications of the new State are discussed.
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quantum fluctuation in thermal Vacuum State for mesoscopic lc electric circuit
Chinese Physics Letters, 2000Co-Authors: Hongyi Fan, Xianting LiangAbstract:We consider the quantization of LC (inductance-capacitance) circuit at a finite temperature T as any practical circuits always produce Joule heat except for superconductivity. It is shown that the quantum mechanical zero-point fluctuations of both charge and current increase with upgoing T. Thermal field dynamics is used in our discussion.
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some properties of the States engendered by the action of photon creation and annihilation operator on a squeezed Vacuum State
1992 Shanghai International Symposium on Quantum Optics, 1992Co-Authors: Hongyi Fan, Zhongxi ZhangAbstract:We study some properties of the States a +m S(r)0> and a m S(r)0> (S(r) equals e -$ (a(superscript 2 -a +2 )) which are engendered by the excitations and de-excitations on a squeezed Vacuum State, respectively. Using the mathematical induction method, we easily show that such States are normalized as two different forms of Legendre polynomials of squeezing parameter r. The Wigner functions of these States are also derived and analyzed.
Xinglei Xu - One of the best experts on this subject based on the ideXlab platform.
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quantum fluctuations of mesoscopic damped mutual capacitance coupled double resonance rlc circuit in thermal excitation State
Optoelectronics Letters, 2007Co-Authors: Xinglei XuAbstract:Mesoscopic damped mutual capacitance coupled double resonance circuit is quantized by the method of damped harmonic oscillator quantization. Hamiltonian is diagonalized by the method of unitary transformation. The energy spectra of this circuit are given. The quantum fluctuations of the charge and current of each loop are investigated by the method of thermofield dynamics (TFD) in thermal excitation State, thermal squeezed Vacuum State, thermal Vacuum State and Vacuum State. It is shown that the quantum fluctuations of the charge and current are related to not only circuit inherent parameter and coupled magnitude, but also quantum number of excitation, squeezed coefficients, squeezed angle and environmental temperature. And the quantum fluctuations increase with the increase of temperature and decay with time.