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Dissipation-induced transition of a simple harmonic oscillator
Zong-Qian Shao1, Yu-Qi Li2, Xiao-Yin Pan1
1Department of Physics, Ningbo University, Ningbo 315211, China.
The Journal of Chemical Physics
|December 16, 2014
Summary
We analyzed how dissipation affects quantum transitions in a simple harmonic oscillator. Brownian motion unexpectedly enables transitions between states of different parity, a finding not seen in previous damping-only studies.
Area of Science:
- Quantum mechanics
- Statistical physics
Background:
- Understanding quantum system dynamics under dissipation is crucial.
- Previous studies focused solely on damping effects.
Purpose of the Study:
- To derive general analytical expressions for dissipation-induced transition probabilities.
- To explore transitions between any two eigenstates of a simple harmonic oscillator.
- To investigate the role of Brownian motion in these transitions.
Main Methods:
- Utilized the Yu and Sun method for calculating transition probabilities.
- Derived general analytical expressions for transition probabilities.
- Analyzed special cases, including transitions from the ground state.
Main Results:
- Obtained general analytical expressions for transition probabilities.
- Demonstrated that Brownian motion facilitates transitions between states of different parity.
- Identified limitations in the applicability of the derived results.
Conclusions:
- Dissipation and Brownian motion significantly influence quantum state transitions.
- Brownian motion introduces new transition pathways not accounted for by damping alone.
- The findings provide a more comprehensive understanding of open quantum systems.
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