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Energy gaps of a trapped ion interacting with a laser field

Wenhua Hai-+,++, Mang Feng++, Xiwen Zhu++, Lei Shi++, Kelin Gao++ and Ximing Fang++

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We consider the secular motion of an ion stored in a Paul trap and interacting with a standing laser field. It is shown that the Schrödinger equation of the system is analogous to the linearized equation of a classically chaotic system. From the mathematical simulation between the two systems we reveal several new properties in the fully quantum treatment. The results lead to some parameter and energy gaps in which the motional ground state does not exist.


PACS

03.65.Ge Solutions of wave equations: bound states

05.45.-a Nonlinear dynamics and nonlinear dynamical systems

MSC

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other quantum-mechanical equations

37D45 Strange attractors, chaotic dynamics

Subjects

Statistical physics and nonlinear systems

Quantum information and quantum mechanics

Dates

Issue 47 (26 November 1999)

Received 22 July 1999



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