Quantum coherent dynamics in single molecule systems: generalized
stochastic Liouville equation
- URL: http://arxiv.org/abs/2004.05561v1
- Date: Sun, 12 Apr 2020 08:03:26 GMT
- Title: Quantum coherent dynamics in single molecule systems: generalized
stochastic Liouville equation
- Authors: Xiangji Cai and Yujun Zheng
- Abstract summary: We investigate coherent dynamics in environments which exhibit both nonstationary and non-Markovian features.
The coherence of the quantum system can be derived by means of the generalized Liouville equation in two separated averages.
- Score: 2.322461721824713
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We propose the generalized stochastic Liouville equation to investigate the
coherent dynamics in single molecule systems coupled to environments which
exhibit both nonstationary and non-Markovian features. The generalized
stochastic Liouville equation contains a generalized memory kernel associated
with both the intrinsic system Hamiltonian and the non-Markovian features of
the environmental noise, which returns to the well-known framework established
by Kubo in the limit case that the environmental noise is stationary and
memoryless. The coherence of the quantum system can be derived by means of the
generalized stochastic Liouville equation in two separated averages with no
need to consider the statistical characteristics of the environmental noise. We
express the exact analytical expressions of the coherence of the single
molecule systems induced by the nonstationary and non-Markovian RTN, and the
analytical results of the system coherence are in well consistent with that
derived by means of some other theoretical approaches.
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