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Influence of the Phase on the Entanglement between a Jaynes-Cummings Atom and an Isolated Atom

100%
Pang C., Liang M.
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vol. 125
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issue 5
1069-1074
EN
A scheme is presented to generate an entangled atomic state, for which the quantum phase affects the atom-atom entanglement when the atom interacts with external light fields. The quantum phase enhances the entanglement and extends the time that the system stays in stronger entanglement state or the phase makes the system more robust. It is also shown that the quantum phase is able to delay the entanglement sudden death and hasten the entanglement revival.
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Invariants for Time-Dependent Harmonic Oscillators from the Real Representation of Solution

81%
Liang M., Zhang Z., Yuan B.
Acta Physica Polonica A
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2004
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vol. 105
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issue 3
253-262
EN
The invariants for the time-dependent one-dimensional harmonic oscillator and the time-dependent two-dimensional harmonic oscillator in a static magnetic field are derived from the real representation of the exact solution to the equation of motion. Mathematically, the orthogonal functions invariant is the angular momentum of an isotropic time-dependent two-dimensional harmonic oscillator. Based on the invariants obtained here, the wave function for time-dependent two-dimensional harmonic oscillator in a static magnetic field in cylindrical coordinate is simply derived and the dynamical and geometrical phases are easily got by expressing the wave function as the superpositions of the wave functions of time-dependent two-dimensional harmonic oscillator in rectangular coordinate. For the driven system, the driving induced dynamical phase and the geometrical phase are respectively associated with the classical Hamiltonian and de Broglie wave of the center motion of the wave function.
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