Classical chaotic trajectories in quantum field theory
نویسنده
چکیده
Trajectories in the space of the unitarily inequivalent representations of the canonical commutation relations are shown to be classical trajectories. Under convenient conditions, they may exhibit properties typical of chaotic behavior in classical nonlinear dynamics. Quantum noise in fluctuating random force in the system–environment coupling and system–environment entanglement is also discussed.
منابع مشابه
Quantum analogue of the Kolmogorov–Arnold–Moser transition in field-induced barrier penetration in a quartic potential
Quantum signatures of the Kolmogorov–Arnold– Moser (KAM) transition from the regular to chaotic classical dynamics of a double-well oscillator in the presence of an external monochromatic field of different amplitudes are analysed in terms of the corresponding Bohmian trajectories. It is observed that the classical chaos generally enhances the quantum fluctuations, while the quantum nonclassica...
متن کاملQuantum Chaotic Scattering and Resistance Fluctuations in Mesoscopic Junctions
Using the semiclassical approximation we calculate the quantum fluctuations of the two-dimensional electronic scattering cross-section from three hard disks in a magnetic field. The three-disk billiard is a schematic model for a three-lead mesoscopic (ballistic) junction. As the magnetic field increases the classical trajectories in the three-disk billiard undergo a hyperbolic±non-hyperbolic tr...
متن کاملv 1 2 6 A ug 1 99 6 From quantum trajectories to classical orbits
Recently it has been shown that the evolution of open quantum systems may be " unraveled " into individual " trajectories, " providing powerful numerical and conceptual tools. In this letter we use quantum trajectories to study mesoscopic systems and their classical limit. We show that in this limit, Quantum Jump (QJ) trajectories approach a diffusive limit very similar to the Quantum State Dif...
متن کاملQuantum decay of an open chaotic system: A semiclassical approach
– We study the quantum probability to survive in an open chaotic system in the framework of the van Vleck-Gutzwiller propagator and present the first such calculation that accounts for quantum interference effects. Specifically, we calculate quantum deviations from the classical decay after the break time t∗ for both broken and preserved time-reversal symmetry. The source of these corrections i...
متن کاملThe Influence of Quantum Field Fluctuations on Chaotic Dynamics of Yang–Mills System
On example of the model field system we demonstrate that quantum fluctuations of non-abelian gauge fields leading to radiative corrections to Higgs potential and spontaneous symmetry breaking can generate order region in phase space of inherently chaotic classical field system. We demonstrate on the example of another model field system that quantum fluctuations do not influence on the chaotic ...
متن کامل