scholarly journals Reduced Density Matrix Theory for Vibrational Absorption Line Shape in Energy Transfer Systems: Non-Condon Effects in Water

2011 ◽  
Vol 32 (2) ◽  
pp. 439-443
Author(s):  
Mi-No Yang
Keyword(s):  
Energy Transfer ◽  
Density Matrix ◽  
Absorption Line ◽  
Line Shape ◽  
Matrix Theory ◽  
Reduced Density Matrix ◽  
Vibrational Absorption ◽  
Reduced Density ◽  
Density Matrix Theory ◽  
Absorption Line Shape

REDUCED QUANTUM TOPOLOGICAL TRAJECTORY IN COHERENCE AND DECOHERENCE

2011 ◽  
Vol 26 (18) ◽  
pp. 1363-1373 ◽  
Author(s):  
XUGUANG SHI ◽  
YISHI DUAN
Keyword(s):  
Density Matrix ◽  
Matrix Theory ◽  
Current Theory ◽  
Topological Invariant ◽  
Reduced Density Matrix ◽  
Quantum Trajectory ◽  
Winding Number ◽  
Topological Current ◽  
Reduced Density ◽  
Density Matrix Theory

We have studied the topological expression of the reduced quantum trajectory using ϕ-mapping topological current theory and reduced density matrix theory. Moreover, we have proposed a new topological expression called the reduced quantum topological trajectory. Ignoring the coefficients of the winding number, we have found that the expression for the reduced quantum topological trajectory is the same for coherence as it is for decoherence. Under certain conditions, the vorticity of the reduced quantum topological trajectory is a topological invariant.

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