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Hongyi Fan - One of the best experts on this subject based on the ideXlab platform.

  • generating Hermite Polynomial excited squeezed states by means of conditional measurements on a beam splitter
    arXiv: Quantum Physics, 2015
    Co-Authors: Hongchun Yuan, Hongyi Fan
    Abstract:

    A scheme for conditional generating a Hermite Polynomial excited squeezed vacuum states (HESVS) is proposed. Injecting a two-mode squeezed vacuum state (TMSVS) into a beam splitter (BS) and counting the photons in one of the output channels, the conditional state in the other output channel is just a HESVS. To exhibit a number of nonclassical effects and non-Guassianity, we mainly investigate the photon number distribution, sub-Poissonian distribution, quadrature component distribution, and quasi-probability distribution of the HPESVS. We find that its nonclassicality closely relates to the control parameter of the BS, the squeezed parameter of the TMSVS, and the photon number of conditional measurement. These further demonstrate that performing the conditional measurement on a BS is an effective approach to generate non-Guassian state.

  • wigner function optical tomography of two variable Hermite Polynomial state and its decoherence effects studied by the entangled state representations
    Journal of The Optical Society of America B-optical Physics, 2013
    Co-Authors: Xiangguo Meng, Zhen Wang, Jisuo Wang, Hongyi Fan
    Abstract:

    We analytically investigate the Wigner function (WF) and the optical tomography for the two-variable Hermite Polynomial state (THPS) and the effect of decoherence on the THPS via the entangled-state representations. The nonclassicality of the THPS is investigated in terms of the partial negativity of the WF, which depends much on the Polynomial orders m, n and the squeezing parameter r. We also extend recent theoretical studies of optical tomography and introduce the radon transformation between the Wigner operator and the projection operator of the entangled state |η,τ1,τ2〉 to derive the tomogram of the THPS. Furthermore, we investigate how the WF for the THPS evolves undergoing the thermal channel. The results show that quantum dissipation in the decoherence channel can thoroughly deteriorate the nonclassicality of the THPS, and thermal noise leads to much quicker decoherence than amplitude damping.

  • quantum state for the two variable Hermite Polynomial gaussian laser modes of the electromagnetic field
    Optik, 2012
    Co-Authors: Hongyi Fan, Jun Zhou
    Abstract:

    Abstract In Ref. [7] by using the plane-wave representation of the fundamental Gaussian mode as a seed function, Enderlein and Pampaloni derived higher-order beam modes (Laguerre–Gaussian laser beams) of the electromagnetic field by acting with differential operators on this fundamental solution. In this paper we show that their approach can be improved by directly performing the integration with the aid of the two-variable Hermite Polynomials, in so doing these modes can exhibit some new good characters. Their relationship to the eigenmodes of light propagation in the quadratic graded-index (GRIN) medium is pointed out. By introducing the two-mode entangled state representation the quantum states corresponding to these modes are also found which turns out to be the Hermite-Polynomial excitation on the two-mode squeezed vacuum state.

  • entangled state representation new two variable Hermite Polynomial operator identities for two mode quadrature s physical quantity calculation
    Modern Physics Letters A, 2011
    Co-Authors: Hongyi Fan, Jieyu Jiang
    Abstract:

    By virtue of the entangled state representation and the technique of integration within an ordered product (IWOP) of operators we derive some new two-variable Hermite-Polynomial-operator identities, their application for calculating moment and cumulant for two-mode quadratures in quantum field theory are presented. The new operator identities make all calculations neat and concise.

  • two mode squeezed number state as a two variable Hermite Polynomial excitation on the squeezed vacuum
    Journal of Modern Optics, 2008
    Co-Authors: Hongyi Fan
    Abstract:

    Based on the two-mode squeezing operator which is the quantum version of the symplectic transformation, we find that the corresponding squeezed two-mode number state is just a two-variable Hermite Polynomial excited state, which possesses well-behaved features, e.g. its Wigner function is a direct product of two Laguerre Polynomials; its Husimi function, a Gaussian broaden version of the Wigner function, is related to two-variable Hermite Polynomials. Moreover, its quantum statistical features, such as squeezing properties and the inter-mode photon bunching, are discussed.

Jiehui Huang - One of the best experts on this subject based on the ideXlab platform.

  • Hermite Polynomial excited squeezed vacuum as quantum optical vortex states
    Laser Physics Letters, 2015
    Co-Authors: Fang Jia, Haoliang Zhang, Jiehui Huang
    Abstract:

    We introduce theoretically a kind of Hermite Polynomial excited squeezed vacuum by extending the wave-packet states with a vortex structure to a general case. Its normalised factor is found to be the Legendre Polynomial and the condition converting the general case to a special one is achieved. Then we consider its statistical properties according to the photon number distribution and the Wigner function. As an application, we investigate the performance of the teleportation of the coherent state. It is shown that these parameters in the generalised state can modulate all the above properties including the vortex structure.

  • nonclassical properties of Hermite Polynomial excitation on squeezed vacuum and its decoherence in phase sensitive reservoirs
    Laser Physics Letters, 2015
    Co-Authors: Shiyou Liu, Jiehui Huang, Xiangyang Tao
    Abstract:

    We introduce Hermite Polynomial excitation squeezed vacuum (SV) and then investigate analytically the nonclassical properties according to Mandel's Q parameter, second correlation function, squeezing effect and the negativity of the Wigner function (WF). It is found that all these nonclassicalities can be enhanced by Hermite Polynomial operation and adjustable parameters (μ and ν). In particular, the optimal negative volume (NV) of WF can be achieved by modulating μ and ν for higher excitation. The decoherence effect of phase-sensitive environment on this state is examined. It is shown that the NV with higher order diminishes more quickly than that with a lower one, which indicates that single-photon subtraction SV presents more robustness. The parameter of reservoirs can be effectively used to improve the nonclassicality.

  • nonclassical properties of Hermite Polynomial s excitation on squeezed vacuum and its decoherence in phase sensitive reservoirs
    arXiv: Quantum Physics, 2014
    Co-Authors: Shiyou Liu, Jiehui Huang, Xiangyang Tao
    Abstract:

    We introduce Hermite Polynomial excitation squeezed vacuum (SV) H_{n}(O)S(r)|0> with O=u a+v a^{{+}}. We investigate analytically the nonclassical properties according to Mandel's Q parameter, second correlation function, squeezing effect and the negativity of Wigner function (WF). It is found that all these nonclassicalities can be enhanced by H_{n}(O)operation and adjustable parameters u and v. In particular, the optimal negative volume delta_{opt}of WF can be achieved by modulating u and v for n>=2,while delta is kept unchanged for n=1. Furthermore, the decoherence effect of phase-sensitive enviornment on this state is examined. It is shown that delta with bigger ndiminishes more quickly than that with lower n, which indicates that single-photon subtraction SV presents more roboustness. Parameter Mof reservoirs can be effectively used to improve the nonclassicality.

Hongchun Yuan - One of the best experts on this subject based on the ideXlab platform.

  • generating two variable Hermite Polynomial excited squeezed vacuum states by conditional measurement on beam splitters
    Optik, 2018
    Co-Authors: Hongchun Yuan
    Abstract:

    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.

  • synthesis of Hermite Polynomial excited squeezed vacuum states from two separate single mode squeezed vacuum states
    Optics Communications, 2015
    Co-Authors: Haoliang Zhang, Hongchun Yuan
    Abstract:

    Abstract A projection synthesis scheme for generating Hermite Polynomial excited squeezed vacuum states (HPESVSs, non-Gaussian quantum states) is proposed. Injecting two separate single-mode squeezed vacuum states into a beam splitter and counting the photons in one of the output channels (conditional measurement or post-detection), the conditional state in the other channel is just the HPESVS. The success probability, related to a Legendre Polynomial form, is obtained analytically and analyzed numerically in detail. To exhibit the nonclassical effects of this conditional state, we also present the photon-number distribution, sub-Poissionian distribution, anti-bunching effect, quadrature squeezing effect, and Wigner function, respectively. The results show that by tuning the interaction parameters, a wide range of nonclassical phenomena can be created.

  • generating Hermite Polynomial excited squeezed states by means of conditional measurements on a beam splitter
    arXiv: Quantum Physics, 2015
    Co-Authors: Hongchun Yuan, Hongyi Fan
    Abstract:

    A scheme for conditional generating a Hermite Polynomial excited squeezed vacuum states (HESVS) is proposed. Injecting a two-mode squeezed vacuum state (TMSVS) into a beam splitter (BS) and counting the photons in one of the output channels, the conditional state in the other output channel is just a HESVS. To exhibit a number of nonclassical effects and non-Guassianity, we mainly investigate the photon number distribution, sub-Poissonian distribution, quadrature component distribution, and quasi-probability distribution of the HPESVS. We find that its nonclassicality closely relates to the control parameter of the BS, the squeezed parameter of the TMSVS, and the photon number of conditional measurement. These further demonstrate that performing the conditional measurement on a BS is an effective approach to generate non-Guassian state.

  • excited two mode generalized squeezed vacuum state as a squeezed two variable Hermite Polynomial excitation state
    International Journal of Theoretical Physics, 2010
    Co-Authors: Hongchun Yuan, Qiuyu Liu
    Abstract:

    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.

Haoliang Zhang - One of the best experts on this subject based on the ideXlab platform.

  • Hermite Polynomial excited squeezed vacuum state generation and nonclassical properties
    Optik, 2017
    Co-Authors: Cunjin Liu, Haoliang Zhang
    Abstract:

    Abstract We proposed a theoretical scheme for generating a new kind of non-Gaussian state—Hermite Polynomial excited squeezed vacuum states—by using parametric amplifier process and conditional measurement. Specially, two different single-mode squeezed vacuum states were injected into the signal and idler ports of parametric amplifier and m -photon was detected in idler output port, then the new non-Gaussian state is generated in signal port. It's normalization factor is found to be related with Legendre Polynomials that corresponds to the success probability of such event. We investigated the nonclassical properties according to photon-number distribution, sub-Poissonian distribution, anti-bunching effect, quadrature squeezing effect, and Wigner function. It is shown that there is a wide range of nonclassical phenomena created by tuning the interaction parameters. Our study may provide a theoretical reference to generate nonclassical state for experiment.

  • synthesis of Hermite Polynomial excited squeezed vacuum states from two separate single mode squeezed vacuum states
    Optics Communications, 2015
    Co-Authors: Haoliang Zhang, Hongchun Yuan
    Abstract:

    Abstract A projection synthesis scheme for generating Hermite Polynomial excited squeezed vacuum states (HPESVSs, non-Gaussian quantum states) is proposed. Injecting two separate single-mode squeezed vacuum states into a beam splitter and counting the photons in one of the output channels (conditional measurement or post-detection), the conditional state in the other channel is just the HPESVS. The success probability, related to a Legendre Polynomial form, is obtained analytically and analyzed numerically in detail. To exhibit the nonclassical effects of this conditional state, we also present the photon-number distribution, sub-Poissionian distribution, anti-bunching effect, quadrature squeezing effect, and Wigner function, respectively. The results show that by tuning the interaction parameters, a wide range of nonclassical phenomena can be created.

  • Hermite Polynomial excited squeezed vacuum as quantum optical vortex states
    Laser Physics Letters, 2015
    Co-Authors: Fang Jia, Haoliang Zhang, Jiehui Huang
    Abstract:

    We introduce theoretically a kind of Hermite Polynomial excited squeezed vacuum by extending the wave-packet states with a vortex structure to a general case. Its normalised factor is found to be the Legendre Polynomial and the condition converting the general case to a special one is achieved. Then we consider its statistical properties according to the photon number distribution and the Wigner function. As an application, we investigate the performance of the teleportation of the coherent state. It is shown that these parameters in the generalised state can modulate all the above properties including the vortex structure.

V I Manko - One of the best experts on this subject based on the ideXlab platform.

  • Hermite Polynomial representation of qubit states in quantum suprematism picture
    2019
    Co-Authors: Margarita A Manko, V I Manko
    Abstract:

    We consider the Hermite Polynomial representation (H-representation) of spin states for qubits and qudits in quantum suprematism picture, where the state geometry is illustrated by Triadas of Malevich’s squares. We obtain an explicit connection of the density matrices of qubit states with the wave functions of two-dimensional harmonic oscillators and the probabilities identified with the states. We establish the connection of optical tomographic-probability distributions describing the oscillator states with qudit state tomograms.

  • Hermite Polynomial representation of the spin states
    arXiv: Quantum Physics, 2013
    Co-Authors: Dmitry B Lemeshevskiy, V I Manko
    Abstract:

    The invertable map of spin state density operator onto quasiprobability distribution of three continuous variables is constructed. The connection with two-mode electromagnetic field oscillators is discussed. The inversion formula for spin-density matrix is given in terms of Hermite Polynomials. The connection with the spin-tomographic representation is examined. The problem of the magnetic moment rotation in the magnetic field is considered in the suggested representation of spin states.

  • Hermite Polynomial representation of the spin states
    Journal of Russian Laser Research, 2013
    Co-Authors: Dmitry B Lemeshevskiy, V I Manko
    Abstract:

    We construct the invertible map of the spin-state density operator onto the quasiprobability distribution of three continuous variables. We discuss the connection of this map with two-mode electromagnetic-field oscillators. We give the inversion formula for the spin-density matrix in terms of the Hermite Polynomials. We examine the connection of the map constructed with the spin-tomographic representation. We consider the problem of the magnetic-moment rotation in the magnetic field in the suggested representation of spin states.