Physics – Quantum Physics
Scientific paper
2000-11-06
Phys. Rev. A 63, 052103 (2001); Erratum in PRA 64, 029901 (2001).
Physics
Quantum Physics
New introduction, accepted in Phys Rev A (May 2001 issue), 12 latex figures, 3 ps figures
Scientific paper
10.1103/PhysRevA.63.052103
The conditions of quantum-classical correspondence for a system of two interacting spins are investigated. Differences between quantum expectation values and classical Liouville averages are examined for both regular and chaotic dynamics well beyond the short-time regime of narrow states. We find that quantum-classical differences initially grow exponentially with a characteristic exponent consistently larger than the largest Lyapunov exponent. We provide numerical evidence that the time of the break between the quantum and classical predictions scales as log(${\cal J}/ \hbar$), where ${\cal J}$ is a characteristic system action. However, this log break-time rule applies only while the quantum-classical deviations are smaller than order hbar. We find that the quantum observables remain well approximated by classical Liouville averages over long times even for the chaotic motions of a few degree-of-freedom system. To obtain this correspondence it is not necessary to introduce the decoherence effects of a many degree-of-freedom environment.
Ballentine Leslie E.
Emerson Joseph
No associations
LandOfFree
Characteristics of Quantum-Classical Correspondence for Two Interacting Spins 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 Characteristics of Quantum-Classical Correspondence for Two Interacting Spins, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Characteristics of Quantum-Classical Correspondence for Two Interacting Spins will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-708220