Time Evolution of Two-Level Systems Driven by Periodic Fields

Details Time Evolution of Two-Level Systems Driven by Periodic Fields Time Evolution of Two-Level Systems Driven by Periodic Fields

2002-02-19

arxiv.org/abs/quant-ph/0202110v2

Physics

Quantum Physics

1 table, 5 figures. Version 2 contains minor corrections

Scientific paper

In this paper we study the time evolution of a class of two-level systems driven by periodic fields in terms of new convergent perturbative expansions for the associated propagator U(t). The main virtue of these expansions is that they do not contain secular terms, leading to a very convenient method for quantitatively studying the long-time behaviour of that systems. We present a complete description of an algorithm to numerically compute the perturbative expansions. In particular, we applied the algorithm to study the case of an ac-dc field (monochromatic interaction), exploring various situations and showing results on (time-dependent) observable quantities, like transition probabilities. For a simple ac field, we analised particular situations where an approximate effect of dynamical localisation is exhibited by the driven system. The accuracy of our calculations was tested measuring the unitarity of the propagator U(t), resulting in very small deviations, even for very long times compared to the cycle of the driving field.

Affiliated with

Also associated with

No associations

Rating

Time Evolution of Two-Level Systems Driven by Periodic Fields 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 Time Evolution of Two-Level Systems Driven by Periodic Fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Time Evolution of Two-Level Systems Driven by Periodic Fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-538949