Chaos simplifies quantum friction
arXiv:1812.02649 · doi:10.1103/PhysRevE.99.012214
Abstract
By means of studying the evolution equation for the Wigner distributions of quantum dissipative systems we derive the quantum corrections to the classical Liouville dynamics, taking into account the standard quantum friction model. The resulting evolution turns out to be the classical one plus fluctuations that depend not only on the size but also on the momentum and the dissipation parameter (i.e. the coupling with the environment). On the other hand, we extend our studies of a paradigmatic system based on the kicked rotator, and we confirm that by adding fluctuations only depending on the size of the Planck constant we essentially recover the quantum behaviour. This is systematically measured in the parameter space with the overlaps and differences in the dispersion of the marginal distributions corresponding to the Wigner functions. Taking into account these results and analyzing the Wigner evolution equation we propose that the chaotic nature of our system is responsible for the independence on the momentum, while the dependence on the dissipation is provided implicitly by the dynamics.
arXiv comment9 pages, 5 figures
References in corpus (22)
- Measuring the scrambling of quantum information
- Ergodic dynamics and thermalization in an isolated quantum system
- Google matrix analysis of directed networks
- Discrete time crystals in the absence of manifest symmetries or disorder in open quantum systems
- Generalized Bose-Einstein condensation into multiple states in driven-dissipative systems
- Asymptotic Floquet states of open quantum systems: The role of interaction
- Quantum ratchets in dissipative chaotic systems
- Semiclassical quantization with short periodic orbits
- Semiclassical Identification of Periodic Orbits in a Quantum Many-Body System
- Tomographic reconstruction of the Wigner function on the Bloch sphere
- Localization of resonance eigenfunctions on quantum repellers
- Quantum correlations as probes of chaos and ergodicity
- Quantum-classical transition and quantum activation of ratchet currents in the parameter space
- Quantum-classical correspondence in the vicinity of periodic orbits
- Proliferation of stability in phase and parameter spaces of nonlinear systems
- Quantum bifurcation diagrams
- Spectral properties of Dissipative Chaotic Quantum Maps
- Quantum Parameter Space of Dissipative Directed Transport
- Correspondence behavior of classical and quantum dissipative directed transport via thermal noise
- Optimizing thermally affected ratchet currents using periodic perturbations
- Classical counterparts of quantum attractors in generic dissipative systems
- Classical properties of the leading eigenstates of quantum dissipative systems