Towards the resolution of a quantized chaotic phase space: The interplay of dynamics with noise

Autor:	Lippolis, Domenico, Shudo, Akira
Rok vydání:	2023
Předmět:	Quantum Physics Nonlinear Sciences - Chaotic Dynamics
Zdroj:	Entropy 2023, 25(3), 411
Druh dokumentu:	Working Paper
DOI:	10.3390/e25030411
Popis:	We outline formal and physical similarities between the quantum dynamics of open systems, and the mesoscopic description of classical systems affected by weak noise. The main tool of our interest is the dissipative Wigner equation, that, for suitable timescales, becomes analogous to the Fokker-Planck equation describing classical advection and diffusion. This correspondence allows in principle to surmise a finite resolution, other than the Planck scale, for the quantized state space of the open system, particularly meaningful when the latter underlies chaotic classical dynamics. We provide representative examples of the quantum-stochastic parallel with noisy Hopf cycles and Van der Pol type oscillators. Comment: 14 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.02165 Zobrazit plný text záznamu View this record from Arxiv