Kullback-Leibler quantum divergence as an indicator of quantum chaos
arXiv:1203.6774 · doi:10.1016/j.physleta.2012.02.049
Abstract
We discuss a system of a nonlinear Kerr-like oscillator externally pumped by ultra-short, external, coherent pulses. For such a system, we analyse the application of the Kullback-Leibler quantum divergence to the detection of quantum chaotic behaviour. Defining linear and nonlinear quantum divergences, and calculating their power spectra, we show that these parameters are more suitable indicators of quantum chaos than the fidelity commonly discussed in the literature, and are useful for dealing with short time series. Moreover, the nonlinear divergence is more sensitive to chaotic bands and to boundaries of chaotic regions, compared to its linear counterpart.
References in corpus (14)
- Decoherence, einselection, and the quantum origins of the classical
- Environment-independent decoherence rate in classically chaotic systems
- Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
- Entanglement as a signature of quantum chaos
- Stability of quantum motion and correlation decay
- Fidelity Decay as an Efficient Indicator of Quantum Chaos
- Generation of discrete superpositions of coherent states in the anharmonic oscillator model
- The Edge of Quantum Chaos
- Quantum chaos and random matrix theoryfor fidelity decay in quantum computationswith static imperfections
- Nonadditive generalization of the quantum Kullback-Leibler divergence for measuring the degree of purification
- Wigner function non-classicality as indicator of quantum chaos
- Long-time fidelity and chaos for a kicked nonlinear oscillator system
- Non-finite-difference algorithm for integrating Newton's motion equations
- Two-time synchronism and induced synchronization