Wavepacket Dynamics, Quantum Reversibility and Random Matrix Theory
arXiv:cond-mat/0506300 · doi:10.1016/j.aop.2005.12.003
Abstract
We introduce and analyze the physics of "driving reversal" experiments. These are prototype wavepacket dynamics scenarios probing quantum irreversibility. Unlike the mostly hypothetical "time reversal" concept, a "driving reversal" scenario can be realized in a laboratory experiment, and is relevant to the theory of quantum dissipation. We study both the energy spreading and the survival probability in such experiments. We also introduce and study the "compensation time" (time of maximum return) in such a scenario. Extensive effort is devoted to figuring out the capability of either Linear Response Theory (LRT) or Random Matrix Theory (RMT) in order to describe specific features of the time evolution. We explain that RMT modeling leads to a strong non-perturbative response effect that differs from the semiclassical behavior.
46 pages, 18 figures
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Cited by in corpus (11)
- Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
- Complexity in parametric Bose-Hubbard Hamiltonians and structural analysis of eigenstates
- Wavepacket dynamics in energy space of a chaotic trimeric Bose-Hubbard system
- Tunneling decay of two interacting bosons in an asymmetric double-well potential: A spectral approach
- Engineering fidelity echoes in Bose-Hubbard Hamiltonians
- Sensitivity to perturbations and quantum phase transitions
- Quantum chaos in the mesoscopic device for the Josephson flux qubit
- Entropy and Its Quantum Thermodynamical Implication for Anomalous Spectral Systems
- Many-body adiabatic passage: Instability, chaos, and quantum classical correspondence
- Anomalous decay of a prepared state due to non-Ohmic coupling to the continuum
- Quantum decay into a non-flat continuum