Ehrenfest-time dependence of weak localization in open quantum dots

Area of Science:

• Quantum chaos
• Condensed matter physics
• Mesoscopic physics

Background:

• Semiclassical theory predicts suppression of weak localization corrections in ballistic chaotic cavities under specific time conditions.
• Weak localization is a quantum interference phenomenon affecting conductivity.

Purpose of the Study:

• To numerically investigate weak localization in an open quantum kicked rotator system.
• To verify the semiclassical prediction regarding Ehrenfest time and dwell time influence on conductance.
• To compare simulation results with effective random matrix theory.

Main Methods:

• Numerical simulations of the open quantum kicked rotator model.
• Analysis of weak localization corrections to conductance.

Main Results:

• The simulations confirm the semiclassical prediction: weak localization is suppressed when the Ehrenfest time exceeds the dwell time.
• The results show a discrepancy with the predictions of effective random matrix theory for transport in ballistic chaotic cavities.

Conclusions:

• The study validates the semiclassical theory's prediction for weak localization suppression.
• Effective random matrix theory may not accurately describe transport in all ballistic chaotic cavity systems.