Probing Localization in Absorbing Systems via Loschmidt Echos
arXiv:0901.4544 · doi:10.1103/PhysRevLett.102.253901
Abstract
We measure Anderson localization in quasi-one-dimensional waveguides in the presence of absorption by analyzing the echo dynamics due to small perturbations. We specifically show that the inverse participation number of localized modes dictates the decay of the Loschmidt echo, differing from the Gaussian decay expected for diffusive or chaotic systems. Our theory, based on a random matrix modeling, agrees perfectly with scattering echo measurements on a quasi one-dimensional microwave cavity filled with randomly distributed scatterers.
cross-reference with nonlin.CD-Chaotic Dynamics
References in corpus (6)
- Dynamics of Loschmidt echoes and fidelity decay
- Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
- Coherence properties and quantum state transportation in an optical conveyor belt
- Complexity in parametric Bose-Hubbard Hamiltonians and structural analysis of eigenstates
- Anomalous power law of quantum reversibility for classically regular dynamics
- Critical Fidelity
Cited by in corpus (13)
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- Microwave fidelity studies by varying antenna coupling
- Probing the effects of interaction in Anderson localization using linear photonic lattices
- Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime
- Characterizing time-irreversibility in disordered fermionic systems by the effect of local perturbations
- One Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems
- Scaling Theory of Heat Transport in Quasi-1D Disordered Harmonic Chains
- Non-monotonous short-time decay of the Loschmidt echo in quasi-one-dimensional systems
- Interference of sound waves in a moving fluid