Anomalous slow fidelity decay for symmetry breaking perturbations
arXiv:nlin/0601020 · doi:10.1103/PhysRevLett.96.244105
Abstract
Symmetries as well as other special conditions can cause anomalous slowing down of fidelity decay. These situations will be characterized, and a family of random matrix models to emulate them generically presented. An analytic solution based on exponentiated linear response will be given. For one representative case the exact solution is obtained from a supersymmetric calculation. The results agree well with dynamical calculations for a kicked top.
arXiv comment4 pages, 2 figures
References in corpus (19)
- Dynamical Decoupling of Open Quantum Systems
- Environment-independent decoherence rate in classically chaotic systems
- Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
- On general relation between quantum ergodicity and fidelity of quantum dynamics
- Sensitivity of Wave Field Evolution and Manifold Stability in Chaotic Systems
- Stability of quantum motion and correlation decay
- Fidelity Decay as an Efficient Indicator of Quantum Chaos
- Sensitivity of Quantum Motion for Classically Chaotic Systems
- Measuring the Lyapunov exponent using quantum mechanics
- A random matrix formulation of fidelity decay
- Theory of quantum Loschmidt echoes
- Can quantum chaos enhance stability of quantum computation?
- Fidelity amplitude of the scattering matrix in microwave cavities
- Experimental verification of fidelity decay: From perturbative to Fermi Golden Rule regime
- Fidelity recovery in chaotic systems and the Debye-Waller factor
- Recovery of the fidelity amplitude for the Gaussian ensembles
- Scattering fidelity in elastodynamics
- Quantum freeze of fidelity decay for a class of integrable dynamics
- Quantum freeze of fidelity decay for chaotic dynamics
Cited by in corpus (11)
- Dynamics of Loschmidt echoes and fidelity decay
- Decoherence of two qubit systems: A random matrix description
- Multispin correlations and pseudo-thermalization of the transient density matrix in solid-state NMR: free induction decay and magic echo
- A random matrix theory of decoherence
- Surprising relations between parametric level correlations and fidelity decay
- Loschmidt echoes in two-body random matrix ensembles
- Fidelity decay in interacting two-level boson systems: Freezing and revivals
- A trivial observation on time reversal in random matrix theory
- Scattering approach to fidelity decay in closed systems and parametric level correlations
- Probing two-particle exchange processes in two-mode Bose-Einstein condensates
- One, Two, and Qubit Decoherence