A Determinantal Inequality Involving Partial Traces

2016 ◽  
Vol 59 (3) ◽  
pp. 585-591 ◽  
Author(s):  
Minghua Lin
Keyword(s):  
Density Matrix ◽  
Partial Trace ◽  
Determinantal Inequality ◽  
Math Phys

AbstractLet A be a density matrix in . Audenaert [J. Math. Phys. 48(2007) 083507] proved an inequality for Schatten p-norms:where Tr1 and Tr2 stand for the first and second partial trace, respectively. As an analogue of his result, we prove a determinantal inequality

scholarly journals Classical analogue of the statistical operator

Open Physics ◽  
2014 ◽  
Vol 12 (3) ◽  
Author(s):  
Angelo Plastino ◽  
Angel Plastino ◽  
Claudia Zander
Keyword(s):  
Density Matrix ◽  
Quantum Mechanical ◽  
Marginal Probability ◽  
Marginal Density ◽  
Partial Trace ◽  
Statistical Correlations ◽  
Composite Systems ◽  
Probability Densities ◽  
Classical Analogue ◽  
Statistical Operator

AbstractWe advance the notion of a classical density matrix, as a classical analogue of the quantum mechanical statistical operator, and investigate its main properties. In the case of composite systems a partial trace-like operation performed upon the global classical density matrix leads to a marginal density matrix describing a subsystem. In the case of dynamically independent subsystems (that is, non-interacting subsystems) this marginal density matrix evolves locally, its behavior being completely determined by the local phase-space flow associated with the subsystem under consideration. However, and in contrast with the case of ordinary marginal probability densities, the marginal classical density matrix contains information concerning the statistical correlations between a subsystem and the rest of the system.

Density matrix and rate equation analyses for picosecond pump/probe combustion diagnostics

AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 723-731
Author(s):  
Thomas Settersten ◽  
Mark Linne ◽  
James Gord ◽  
Gregory Feichtner
Keyword(s):  
Density Matrix ◽  
Rate Equation ◽  
Pump Probe ◽  
Combustion Diagnostics

Density matrix and purity evolution in dissipative two-level systems: II. Relaxation

2021 ◽  
Author(s):  
Sambarta Chatterjee ◽  
Nancy Makri
Keyword(s):  
Density Matrix ◽  
Time Evolution ◽  
Reduced Density Matrix ◽  
Level System ◽  
Two Level Systems ◽  
Reduced Density ◽  
Harmonic Bath

We investigate the time evolution of the reduced density matrix (RDM) and its purity in the dynamics of a two-level system coupled to a dissipative harmonic bath, when the system is initially placed in one of its eigenstates.

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