scholarly journals Turning reduced density matrix theory into a practical tool for studying the Mott transition

2015 ◽  
Vol 17 (11) ◽  
pp. 111001 ◽  
Author(s):  
Katarzyna Pernal
Keyword(s):  
Density Matrix ◽  
Matrix Theory ◽  
Mott Transition ◽  
Reduced Density Matrix ◽  
Practical Tool ◽  
Reduced Density ◽  
Density Matrix Theory

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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