Loschmidt echo decay from local boundary perturbations

Abstract

We investigate the sensitivity of the time evolution of semiclassical wave packets in two-dimensional chaotic billiards with respect to local perturbations of their boundaries. For this purpose, we address, analytically and numerically, the time decay of the Loschmidt echo (LE). We find the LE to decay exponentially in time, with the rate equal to the classical escape rate from an open billiard obtained from the original one by removing the perturbation-affected region of its boundary. Finally, we propose a principal scheme for the experimental observation of the LE decay.

Final version; 4 pages, 3 figures

References in corpus (4)

• Dynamics of Loschmidt echoes and fidelity decay
• Universality of the Lyapunov regime for the Loschmidt echo
• Mesoscopic Fluctuations of the Loschmidt Echo
• Excess conductance of a spin-filtering quantum dot

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• Leaking Chaotic Systems
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• Semiclassical Mechanism for the Quantum Decay in Open Chaotic Systems
• Quantifying Volume Changing Perturbations in a Wave Chaotic System
• Quantum Corrections to Fidelity Decay in Chaotic Systems
• Long-time saturation of the Loschmidt echo in quantum chaotic billiards
• Fidelity decay for local perturbations: microwave evidence for oscillating decay exponents
• Non-monotonous short-time decay of the Loschmidt echo in quasi-one-dimensional systems
• Thermalization as an Invisibility Cloak for Fragile Quantum Superpositions