First verification of generic fidelity recovery in a dynamical system
arXiv:quant-ph/0602234 · doi:10.1103/PhysRevE.73.066120
Abstract
We study the time evolution of fidelity in a dynamical many body system, namely a kicked Ising model, modified to allow for a time reversal invariance breaking. We find good agreement with the random matrix predictions in the realm of strong perturbations. In particular for the time-reversal symmetry breaking case the predicted revival at Heisenberg time is clearly seen.
6 pages, 6 figures
References in corpus (17)
- Environment-independent decoherence rate in classically chaotic systems
- Semiclassical Foundation of Universality in Quantum Chaos
- Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
- Decoherence and the Loschmidt echo
- On general relation between quantum ergodicity and fidelity of quantum dynamics
- Fidelity Decay as an Efficient Indicator of Quantum Chaos
- Measuring the Lyapunov exponent using quantum mechanics
- A random matrix formulation of fidelity decay
- Exact time-correlation functions of quantum Ising chain in a kicking transversal magnetic field
- Theory of quantum Loschmidt echoes
- Can quantum chaos enhance stability of quantum computation?
- Fidelity amplitude of the scattering matrix in microwave cavities
- Fidelity recovery in chaotic systems and the Debye-Waller factor
- Scattering fidelity in elastodynamics
- Recovery of the fidelity amplitude for the Gaussian ensembles
- Efficient Diagonalization of Kicked Quantum Systems
- Evolution of entanglement under echo dynamics
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