Quantum-to-classical crossover of mesoscopic conductance fluctuations

Abstract

We calculate the system-size-over-wave-length ($M$) dependence of sample-to-sample conductance fluctuations, using the open kicked rotator to model chaotic scattering in a ballistic quantum dot coupled by two $N$-mode point contacts to electron reservoirs. Both a fully quantum mechanical and a semiclassical calculation are presented, and found to be in good agreement. The mean squared conductance fluctuations reach the universal quantum limit of random-matrix-theory for small systems. For large systems they increase $\propto M^2$ at fixed mean dwell time ${\tau }_D\propto M/N$. The universal quantum fluctuations dominate over the nonuniversal classical fluctuations if $N<\sqrt{M}$. When expressed as a ratio of time scales, the quantum-to-classical crossover is governed by the ratio of Ehrenfest time and ergodic time.

5 pages, 5 figures: one figure added, references updated

Cited by in corpus (8)

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• Quantum-to-classical correspondence in open chaotic systems
• Ehrenfest-time dependence of weak localization in open quantum dots
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• Classical limit of transport in quantum kicked maps
• Quantum-to-classical crossover for Andreev billiards in a magnetic field
• Weak localization of the open kicked rotator