|
| related topics |
| {classical, space, random} |
| {equation, function, exp} |
| {energy, state, states} |
| {field, particle, equation} |
| {wave, scattering, interference} |
| {phase, path, phys} |
| {let, theorem, proof} |
| {time, wave, function} |
| {level, atom, field} |
| {energy, gaussian, time} |
|
Comparison of classical chaos with quantum chaos
L. A. Caron, D. Huard, H. Kröger, G. Melkonyan, K. J. M. Moriarty, L. P. Nadeau
abstract: We investigate chaotic behavior in a 2-D Hamiltonian system - oscillators
with anharmonic coupling. We compare the classical system with quantum system.
Via the quantum action, we construct Poincar\'e sections and compute Lyapunov
exponents for the quantum system. We find that the quantum system is globally
less chaotic than the classical system. We also observe with increasing energy
the distribution of Lyapunov exponts approaching a Gaussian with a strong
correlation between its mean value and energy.
- oai_identifier:
- oai:arXiv.org:quant-ph/0406109
- categories:
- quant-ph
- comments:
- 25 pages, 10 figs
- doi:
- 10.1088/0305-4470/37/24/004
- arxiv_id:
- quant-ph/0406109
- journal_ref:
- J.Phys.A37:6251-6265,2004
- created:
- 2004-06-15
Full article ▸
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