Transmission and Reflection in the Stadium Billiard: Time-dependent asymmetric transport

Abstract

We investigate the transmission and reflection survival probabilities for the chaotic stadium billiard with two holes placed asymmetrically. Classically, these distributions are shown to have algebraic or exponential decays depending on the choice of injecting hole and exact expressions are given for the first time and confirmed numerically. As there is no reported quantum theoretical or experimental analogue we propose a model for experimental observation of the asymmetric transport using semiconductor nano-structures and comment on the relevant quantum time-scales.

4 pages, 4 figures

References in corpus (5)

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• Poincare recurrences and transient chaos in systems with leaks
• Quantum-to-classical correspondence in open chaotic systems
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Cited by in corpus (10)

• Leaking Chaotic Systems
• Dependence of chaotic diffusion on the size and position of holes
• Faster than expected escape for a class of fully chaotic maps
• Thermodynamics of a time dependent and dissipative oval billiard: a heat transfer and billiard approach
• Quantifying intermittency in the open drivebelt billiard
• Bill2d - a software package for classical two-dimensional Hamiltonian systems
• Rotating Leaks in the Stadium Billiard
• Escape-rate response to noise of all amplitudes in leaky chaos
• Escape dynamics through a continuously growing leak
• Asymmetric transport in the bouncer model: Mixed, time dependent, noncompact dynamics