Adiabatic Approximation in the Density Matrix Approach: Non-Degenerate Systems

Details Adiabatic Approximation in the Density Matrix Approach: Non-Degenerate Systems Adiabatic Approximation in the Density Matrix Approach: Non-Degenerate Systems

2002-01-06

arxiv.org/abs/quant-ph/0201020v2

Physica A, vol.: 311, (2002) 169-187

Physics

Quantum Physics

24 pages (new version), accepted for publication in Physica A

Scientific paper

We study the adiabatic limit in the density matrix approach for a quantum system coupled to a weakly dissipative medium. The energy spectrum of the quantum model is supposed to be non-degenerate. In the absence of dissipation, the geometric phases for periodic Hamiltonians obtained previously by M.V. Berry are recovered in the present approach. We determine the necessary condition satisfied by the coefficients of the linear expansion of the non-unitary part of the Liouvillian in order to the imaginary phases acquired by the elements of the density matrix, due to dissipative effects, be geometric. The results derived are model-independent. We apply them to spin 1/2 model coupled to reservoir at thermodynamic equilibrium.

Affiliated with

Also associated with

No associations

Rating

Adiabatic Approximation in the Density Matrix Approach: Non-Degenerate Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Adiabatic Approximation in the Density Matrix Approach: Non-Degenerate Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Adiabatic Approximation in the Density Matrix Approach: Non-Degenerate Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-693507