Fidelity and quantum chaos in the mesoscopic device for the Josephson flux qubit
arXiv:cond-mat/0601698 · doi:10.1103/PhysRevLett.98.057006
Abstract
We show that the three-junction SQUID device designed for the Josephson flux qubit can be used to study the dynamics of quantum chaos when operated at high energies. We determine the parameter region where the system is classically chaotic. We calculate numerically the fidelity or Loschmidt echo (LE) in the quantum dynamics under perturbations in the magnetic field and in the critical currents, and study different regimes of the LE. We discuss how the LE could be observed experimentally considering both the preparation of the initial state and the measurement procedure.
Accepted for publication in Phys. Rev. Lett. (4 pages, 4 figures, final version.)
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- Loschmidt echo for local perturbations: non-monotonous cross-over from the Fermi-golden-rule to the escape-rate regime
- Chaos can act as a decoherence suppressor
- Large Amplitude Harmonic Driving of Highly Coherent Flux Qubits
- On the correspondence principle: implications from a study of the chaotic dynamics of a macroscopic quantum device
- Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime
- Quantum breathers in capacitively coupled Josephson junctions: Correlations, number conservation, and entanglement
- Lyapunov Decoherence Rate in Classically Chaotic Systems
- Dephasing of qubits by the Schrödinger cat
- Quantum localized modes in capacitively coupled Josephson junctions
- Semiclassical approach to fidelity amplitude
- Quantum chaos in the mesoscopic device for the Josephson flux qubit
- Lyapunov decay in quantum irreversibility
- Stability of Fock states in a two-component Bose-Einstein condensate with a regular classical counterpart