Quantum response of weakly chaotic systems

Details Quantum response of weakly chaotic systems Quantum response of weakly chaotic systems

2010-05-23

arxiv.org/abs/1005.4207v3

Europhys.Lett.92:20009,2010

Physics

Quantum Physics

7 pages, 5 figures, expanded improved version

Scientific paper

10.1209/0295-5075/92/20009

Chaotic systems, that have a small Lyapunov exponent, do not obey the common random matrix theory predictions within a wide "weak quantum chaos" regime. This leads to a novel prediction for the rate of heating for cold atoms in optical billiards with vibrating walls. The Hamiltonian matrix of the driven system does not look like one from a Gaussian ensemble, but rather it is very sparse. This sparsity can be characterized by parameters $s$ and $g$ that reflect the percentage of large elements, and their connectivity respectively. For $g$ we use a resistor network calculation that has direct relation to the semi-linear response characteristics of the system.

Affiliated with

Also associated with

No associations

Rating

Quantum response of weakly chaotic 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 Quantum response of weakly chaotic systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum response of weakly chaotic systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-590957