Concept

Quantum chaos

Related publications (40)

Distribution of periodic torus orbits and Duke's theorem for cubic fields

We study periodic torus orbits on spaces of lattices. Using the action of the group of adelic points of the underlying tori, we define a natural equivalence relation on these orbits, and show that the equivalence classes become uniformly distributed. This ...

2011

BM: An Iterative Method to Learn Stable Non-Linear Dynamical Systems with Gaussian Mixture Models

Aude Billard, Seyed Mohammad Khansari Zadeh

We model the dynamics of non-linear discrete (i.e. point-to- point) robot motions as a time-independent system described by an autonomous dynamical system (DS). We propose an iterative algorithm to estimate the form of the DS through a mixture of Gaussian ...

2010

On-line learning and modulation of periodic movements with nonlinear dynamical systems

Auke Ijspeert

Abstract The paper presents a two-layered system for (1) learning and encoding a periodic signal without any knowledge on its frequency and waveform, and (2) modulating the learned periodic trajectory in response to external events. The system is used to l ...

2009

Signatures of unstable semiclassical trajectories in tunneling

Sergey Sibiryakov

It was found recently that processes of multidimensional tunneling are generally described at high energies by unstable semiclassical trajectories. We study two observational signatures related to the instability of trajectories. First, we find an addition ...

2009

Quantum chaos? Genericity and nongenericity in the MHD spectrum of nonaxisymmetric toroidal plasmas

Ben McMillan

The eigenmode spectrum is a fundamental starting point for the analysis of plasma stability and the onset of turbulence, but the characterization of the spectrum even for the simplest plasma model, ideal magnetohydrodynamics (MHD), is not fully understood. ...

2007

Numerical study of models of quantum chaos

This work is dedicated to the study of models of quantum chaos. It is clear that one cannot define chaos in quantum mechanics the same way it is defined in classical dynamics. The classical definition of chaos relies upon the ideas of sensitive dependence ...

EPFL2006

Modulational instability in a layered Kerr medium: Theory and experiment

Demetri Psaltis, Ye Pu

We present the first experimental investigation of modulational instability in a layered Kerr medium. The particularly interesting and appealing feature of our configuration, consisting of alternating glass-air layers, is the piecewise-constant nature of t ...

2006

Symmetry breaking in mechanical systems

The first part of this thesis studies the problem of symmetry breaking in the context of simple mechanical systems with compact symmetry Lie group G. In this part we shall assume that the principal stratum of the G-action on the configuration space Q of a ...

EPFL2005

Use of Measurements for Enforcing the Necessary Conditions of Optimality in the Presence of Constraints and Uncertainty

Dominique Bonvin, Grégory François

Measurements can be used in an optimization framework to compensate the effects of uncertainty in the form of model mismatch or process disturbances. Among the various options for input adaption, a promising approach consists of directly enforcing the nece ...

Elsevier2005

Dephasing representation: Employing the shadowing theorem to calculate quantum correlation functions

Jiri Vanicek

Due to the Heisenberg uncertainty principle, various classical systems differing only on the scale smaller than Planck's cell correspond to the same quantum system. We use this fact to find a unique semiclassical representation without the Van Vleck determ ...

2004

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