Current-constrained one-electron reduced density-matrix theory for non-equilibrium steady-state molecular conductivity

2019 ◽  
Vol 21 (23) ◽  
pp. 12620-12624 ◽  
Author(s):  
Alexandra E. Raeber ◽  
David A. Mazziotti
Keyword(s):  
Steady State ◽  
Density Matrix ◽  
Single Molecule ◽  
Matrix Theory ◽  
Electronic Devices ◽  
Reduced Density Matrix ◽  
Circuit Elements ◽  
Reduced Density ◽  
Density Matrix Theory ◽  
Non Equilibrium

In the effort to create ever smaller electronic devices, the idea of single molecule circuit elements has sparked the imagination of scientists for nearly fifty years.

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.

scholarly journals High-harmonic spectra from time-dependent two-particle reduced-density-matrix theory

2017 ◽  
Vol 95 (3) ◽  
Author(s):  
Fabian Lackner ◽  
Iva Březinová ◽  
Takeshi Sato ◽  
Kenichi L. Ishikawa ◽  
Joachim Burgdörfer
Keyword(s):  
Density Matrix ◽  
Matrix Theory ◽  
High Harmonic ◽  
Time Dependent ◽  
Reduced Density Matrix ◽  
Reduced Density ◽  
Density Matrix Theory
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