ScholarBank@NUShttps://scholarbank.nus.edu.sgThe DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material.Sun, 26 Jan 2020 21:47:48 GMT2020-01-26T21:47:48Z5031- Universal decay of the classical Loschmidt echo of neutrally stable mixing dynamicshttps://scholarbank.nus.edu.sg/handle/10635/98524Title: Universal decay of the classical Loschmidt echo of neutrally stable mixing dynamics
Authors: Casati, G.; Prosen, T.; Lan, J.; Li, B.
Abstract: We provide analytical and numerical evidence that the classical mixing systems, which lack exponential sensitivity on initial conditions, exhibit universal decay of the Loschmidt echo which turns out to be a function of a single scaled time variable δ2/5t, where δ is the strength of perturbation. The role of dynamical instability and entropy production is discussed. © 2005 The American Physical Society.
Fri, 25 Mar 2005 00:00:00 GMThttps://scholarbank.nus.edu.sg/handle/10635/985242005-03-25T00:00:00Z
- Uniform semiclassical approach to fidelity decay in the deep Lyapunov regimehttps://scholarbank.nus.edu.sg/handle/10635/98520Title: Uniform semiclassical approach to fidelity decay in the deep Lyapunov regime
Authors: Wang, W.-G.; Casati, G.; Li, B.; Prosen, T.
Abstract: We use the uniform semiclassical approximation in order to derive the fidelity decay in the regime of large perturbations. Numerical computations are presented which agree with our theoretical predictions. Moreover, our theory allows us to explain previous findings, such as the deviation from the Lyapunov decay rate in cases where the classical finite-time instability is nonuniform in phase space. ©2005 The American Physical Society.
Tue, 01 Mar 2005 00:00:00 GMThttps://scholarbank.nus.edu.sg/handle/10635/985202005-03-01T00:00:00Z
- Quantum chaos and the double-slit experimenthttps://scholarbank.nus.edu.sg/handle/10635/97665Title: Quantum chaos and the double-slit experiment
Authors: Casati, G.; Prosen, T.
Abstract: We report on the numerical simulation of the double-slit experiment, where the initial wave packet is bounded inside a billiard domain with perfectly reflecting walls. If the shape of the billiard is such that the classical ray dynamics is regular, we obtain interference fringes whose visibility can be controlled by changing the parameters of the initial state. However, if we modify the shape of the billiard thus rendering classical (ray) dynamics fully chaotic, the interference fringes disappear and the intensity on the screen becomes the (classical) sum of intensities for the two corresponding one-slit experiments. Thus we show a clear and fundamental example in which transition to chaotic motion in a deterministic classical system, in absence of any external noise, leads to a profound modification in the quantum behavior. © 2005 The American Physical Society.
Thu, 01 Sep 2005 00:00:00 GMThttps://scholarbank.nus.edu.sg/handle/10635/976652005-09-01T00:00:00Z