The Experts below are selected from a list of 129 Experts worldwide ranked by ideXlab platform

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

  • Quantum-Mechanical Hankel Transformation and Ascending-Lowering Operators for the Induced Entangled State Representation
    International Journal of Theoretical Physics, 2013
    Co-Authors: Jun Song, Jun Zhou, Hong-yi Fan
    Abstract:

    We study Hankel transformation of the induced entangled state representation by Quantum Mechanical Operator algebraic method, the derivatives of functions and their ascending and lowering Operators—studied by Quantum Mechanical Operator algebraic method of the derivatives of functions.

  • New fundamental Quantum Mechanical Operator-ordering identities for the coordinate and momentum Operators
    Science China Physics Mechanics and Astronomy, 2012
    Co-Authors: Hong-yi Fan
    Abstract:

    In Quantum mechanics theory one of the basic Operator orderings is Q - P and P - Q ordering, where Q and P are the coordinate Operator and the momentum Operator, respectively. We derive some new fundamental Operator identities about their mutual reordering. The technique of integration within Q - P ordering and P - Q ordering is introduced. The Q - P ordered and P - Q ordered formulas of the Wigner Operator are also deduced which makes arranging the Operators in either Q - P or P - Q ordering much more convenient.

  • abcd rule for gaussian beam propagation in the context of Quantum optics derived by the iwop technique
    Annals of Physics, 2006
    Co-Authors: Hong-yi Fan, Weibo Gao
    Abstract:

    Abstract The development of technique of integration within an ordered product (IWOP) of Operators extends the Newton–Leibniz integration rule, originally applying to permutable functions, to the non-commutative Quantum Mechanical Operators composed of Dirac’s ket–bra, which enables us to obtain the images of directly mapping symplectic transformation in classical phase space parameterized by [A, B; C, D] into Quantum Mechanical Operator through the coherent state representation, we call them the generalized Fresnel Operators (GFO) since they correspond to Fresnel transforms in Fourier optics. Based on GFO we find the ABCD rule for Gaussian beam propagation in the context of Quantum optics (both in one-mode and two-mode cases) whose classical correspondence is just the ABCD rule in matrix optics. The entangled state representation is used in discussing the two-mode case.

A. Vourdas - One of the best experts on this subject based on the ideXlab platform.

  • Interaction of Mesoscopic Devices with Non-Classical Electromagnetic Fields
    Quantum Communication and Information Technologies, 2003
    Co-Authors: A. Vourdas
    Abstract:

    AC Aharonov-Bohm phenomena in which electric charges interfere in the presence of non-classical microwaves, are studied. The relative phase factor between the two electron beams is a Quantum Mechanical Operator, whose expectation value with respect to the density matrix ρ describing the microwaves, determines the interference. It is shown that the Quantum noise of the microwaves destroys slightly the interference. The results are interpreted physically in terms of multiphoton exchange between the electrons and the microwaves. A similar effect is also studied in the context of Josephson devices interacting with non-classical microwaves, in the external field approximation. Dual phenomena with vortex condensates in Josephson array insulators, are also considered. ac Aharonov-Casher phenomena in which vortices interfere in the presence of non-classical microwaves, are studied. Here, the relative ‘dual phase’ factor between the two vortex beams is a Quantum Mechanical Operator. Dual Josephson junctions for vortices, made from two insulators separated by a weak link through which the vortices tunnel, are also studied.

  • Interaction of mesoscopic Josephson devices with non-classical microwaves
    Contemporary Physics, 2003
    Co-Authors: A. Vourdas
    Abstract:

    Mesoscopic Josephson devices, interacting with non-classical microwaves, are studied. The phase difference in Josephson's equations is a Quantum Mechanical Operator, whose expectation value with respect to the density matrix „ describing the microwaves, determines the current. Dual phenomena with vortex condensates in Josephson array insulators are also considered. Dual Josephson junctions for vortices, made from two insulators separated by a weak link through which the vortices tunnel, are described by dual Josephson equations.

  • Destruction of the interference by external nonclassical microwaves: The effect of Quantum and classical noise on the phase factor
    Physical Review A, 2001
    Co-Authors: A. Vourdas
    Abstract:

    Electron interference in mesoscopic devices irradiated by external monochromatic nonclassical microwaves is considered. The relative phase factor between two electron paths is a Quantum Mechanical Operator whose expectation value with respect to the density matrix of the nonclassical microwaves is studied. It is shown that, due to both classical and Quantum noise in the microwaves, the absolute value of the phase factor is less than $1,$ causing partial destruction of the interference. Separable and entangled two-mode nonclassical microwaves are also considered and their effect on the expectation value of the phase factor is studied.

Asish K. Dhara - One of the best experts on this subject based on the ideXlab platform.

Swapan K. Ghosh - One of the best experts on this subject based on the ideXlab platform.

Frank Marsiglio - One of the best experts on this subject based on the ideXlab platform.

  • How many electrons are needed to flip a local spin
    Europhysics Letters (EPL), 2005
    Co-Authors: Wonkee Kim, R. Teshima, Frank Marsiglio
    Abstract:

    Considering the spin of a local magnetic atom as a Quantum-Mechanical Operator, we illustrate the dynamics of a local spin interacting with a ballistic electron represented by a wave packet. This approach improves the semi-classical approximation and provides a complete Quantum-Mechanical understanding for spin transfer phenomena. Sending spin-polarized electrons towards a local magnetic atom one after another, we estimate the minimum number of electrons needed to flip a local spin.