|
| related topics |
| {measurement, state, measurements} |
| {classical, space, random} |
| {state, states, coherent} |
| {time, wave, function} |
| {time, decoherence, evolution} |
| {energy, gaussian, time} |
| {operator, operators, space} |
| {equation, function, exp} |
| {field, particle, equation} |
| {bell, inequality, local} |
|
Quantum nonlinear dynamics of continuously measured systems
A. J. Scott, G. J. Milburn
abstract: Classical dynamics is formulated as a Hamiltonian flow on phase space, while
quantum mechanics is formulated as a unitary dynamics in Hilbert space. These
different formulations have made it difficult to directly compare quantum and
classical nonlinear dynamics. Previous solutions have focussed on computing
quantities associated with a statistical ensemble such as variance or entropy.
However a more direct comparison would compare classical predictions to the
quantum for continuous simultaneous measurement of position and momentum of a
single system. In this paper we give a theory of such measurement and show that
chaotic behaviour in classical systems can be reproduced by continuously
measured quantum systems.
- oai_identifier:
- oai:arXiv.org:quant-ph/0008108
- categories:
- quant-ph nlin.CD
- comments:
- 11 pages, REVTEX, 3 figures
- doi:
- 10.1103/PhysRevA.63.042101
- arxiv_id:
- quant-ph/0008108
- journal_ref:
- Phys. Rev. A 63, 042101 (2001)
- created:
- 2000-08-25
- updated:
- 2000-11-15
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