Dynamics of a TwoLevel System Interacting with a Random Classical Field
Abstract
The dynamics of a particle interacting with random classical field in a twowell potential is studied by the functional integration method. The probability of particle localization in either of the wells is studied in detail. Certain fieldaveraged correlation functions for quantummechanical probabilities and the distribution function for the probabilities of final states (which can be considered as random variables in the presence of a random field) are calculated. The calculated correlators are used to discuss the dependence of the final state on the initial state. One of the main results of this work is that, although the offdiagonal elements of density matrix disappear with time, a particle in the system is localized incompletely (wavepacket reduction does not occur), and the distribution function for the probability of finding particle in one of the wells is a constant at infinite time.
 Publication:

Soviet Journal of Experimental and Theoretical Physics Letters
 Pub Date:
 May 2002
 DOI:
 10.1134/1.1494045
 arXiv:
 arXiv:quantph/0412026
 Bibcode:
 2002JETPL..75..474L
 Keywords:

 Quantum Physics;
 Condensed Matter  Mesoscopic Systems and Quantum Hall Effect
 EPrint:
 5 pages