Partial-trace-free time-convolutionless equation of motion for the reduced density matrix

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 1, 2002, Pages

  Knezevic, Irena ^a   Ferry, David K ^a  

^a Arizona State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CELLULAR TRANSPORT; CYTOSKELETON FILAMENTS; OPTICAL TWEEZERS; THERMAL COLLISIONS;

BACTERIA; BROWNIAN MOVEMENT; DAMPING; DIFFUSION; POLYMERS; PROTEINS;

CELLS;

EID: 41349099003     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.016131     Document Type: Article

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24. For instance, the space of linear operators acting on H is (Formula presented) where (Formula presented) is the dual space of H; however, (Formula presented) is isomorphic to (Formula presented) in a finite-dimensional case, and we choose (Formula presented) as the shortest label.
25. Though our primary interest will lie among the elements of (Formula presented) (Formula presented) and (Formula presented) we did start with bases in (Formula presented) (Formula presented) and H, as the partial traces, which we will be using later on, are over states in (Formula presented) (Formula presented) and H.
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27. This choice of a density matrix has interesting properties itself; namely, it corresponds to the most chaotic ensemble, in the sense that the probabilistic entropy (Formula presented) (Formula presented) is maximal in the case where all weights are equal.
28. Orthonormal with respect to the standard scalar product inherited from H: namely, for (Formula presented)
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