Initial-Slip Term Effects on the Dissipation-Induced Transition of a Simple Harmonic Oscillator

doi:10.1088/0256-307X/34/1/010301

Chin. Phys. Lett.

2017, Vol. 34

Issue (1): 010301 DOI: 10.1088/0256-307X/34/1/010301

GENERAL

Initial-Slip Term Effects on the Dissipation-Induced Transition of a Simple Harmonic Oscillator

Kang-Kang Ju, Cui-Xian Guo, Xiao-Yin Pan ^**

Department of Physics, Ningbo University, Ningbo 315211

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Kang-Kang Ju, Cui-Xian Guo, Xiao-Yin Pan 2017 Chin. Phys. Lett. 34 010301

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Abstract We investigate the effects of the initial-slip term by studying the dissipation-induced transition probabilities between any two eigenstates of a simple harmonic oscillator. The general analytical expressions for the transition probabilities are obtained, then the special cases of transition probabilities ignoring the Brownian motion from the ground state to the first few excited states are discussed. It is found that the initial-slip term not only makes the forbidden transitions between states of different parity possible but also lifts the initial value of the transition probabilities.

Received: 09 November 2016 Published: 29 December 2016

PACS:	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	03.65.Ge	(Solutions of wave equations: bound states)
	05.40.Jc	(Brownian motion)
	02.50.Ey	(Stochastic processes)

Fund: Supported by the National Natural Science Foundation of China under Grant No 11275100, and the K. C. Wong Magna Foundation of Ningbo University.

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https://cpl.iphy.ac.cn/10.1088/0256-307X/34/1/010301 OR https://cpl.iphy.ac.cn/Y2017/V34/I1/010301

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	Xiao-Yin Pan

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