Unitarily manipulating in time and space a Gaussian wave-packet motional state of a single atom in a quadratic potential field

Details Unitarily manipulating in time and space a Gaussian wave-packet motional state of a single atom in a quadratic potential field Unitarily manipulating in time and space a Gaussian wave-packet motional state of a single atom in a quadratic potential field

2007-08-16

arxiv.org/abs/0708.2129v3

Physics

Quantum Physics

47 pages, no figure, a modified version with an important correction in subsection 2.3 and section 3

Scientific paper

The paper first discusses theoretically the off-resonance selective excitation method that is dependent on the atomic internal states and used to generate approximately a standard coherent state of harmonic oscillator. The coherent average method then is proposed to construct the state-selective trigger pulse. A state-selective trigger pulse can keep Gaussian shape unchanged but change in an internal-state-dependent form the center-of-mass position and/or momentum of an atomic Gaussian wave-packet motional state. A Gaussian wave-packet state is one of the simplest wave-packet states that can be easily manipulated and controlled in time and space. The paper also investigates how to manipulate in time and space an atomic Gaussian wave-packet motional state by a generalized quadratic potential field. A general quadratic Hamiltonian can affect not only the center-of-mass position and momentum but also the complex linewidth of a Gaussian wave-packet motional state while keep Gaussian shape of the motional state unchanged. It is shown that generally quadratic terms of a quadratic Hamiltonian can control directly the complex linewidth, while linear terms of a quadratic Hamiltonian can affect only the center-of-mass position and momentum of a Gaussian wave-packet motional state.

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