Physics – Quantum Physics
Scientific paper
1999-05-17
Phys.Rev.E61:1299-1311,2000
Physics
Quantum Physics
15 pages, 22 figures
Scientific paper
10.1103/PhysRevE.61.1299
We present a detailed numerical study of a chaotic classical system and its quantum counterpart. The system is a special case of a kicked rotor and for certain parameter values possesses cantori dividing chaotic regions of the classical phase space. We investigate the diffusion of particles through a cantorus; classical diffusion is observed but quantum diffusion is only significant when the classical phase space area escaping through the cantorus per kicking period greatly exceeds Planck's constant. A quantum analysis confirms that the cantori act as barriers. We numerically estimate the classical phase space flux through the cantorus per kick and relate this quantity to the behaviour of the quantum system. We introduce decoherence via environmental interactions with the quantum system and observe the subsequent increase in the transport of quantum particles through the boundary.
Ball Gregory
Christensen Neil
Vant Kendra
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