Emergence of Navier-Stokes hydrodynamics in chaotic quantum circuits

Autor:	Singh, Hansveer, McCulloch, Ewan, Gopalakrishnan, Sarang, Vasseur, Romain
Rok vydání:	2024
Předmět:	Condensed Matter - Statistical Mechanics Nonlinear Sciences - Chaotic Dynamics Quantum Physics
Druh dokumentu:	Working Paper
Popis:	We construct an ensemble of two-dimensional nonintegrable quantum circuits that are chaotic but have a conserved particle current, and thus a finite Drude weight. The long-wavelength hydrodynamics of such systems is given by the incompressible Navier-Stokes equations. By analyzing circuit-to-circuit fluctuations in the ensemble we argue that these are negligible, so the circuit-averaged value of transport coefficients like the viscosity is also (in the long-time limit) the value in a typical circuit. The circuit-averaged transport coefficients can be mapped onto a classical irreversible Markov process. Therefore, remarkably, our construction allows us to efficiently compute the viscosity of a family of strongly interacting chaotic two-dimensional quantum systems. Comment: 4+epsilon pages, 3 figures; 8 pages supplemental material
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.13892 Zobrazit plný text záznamu View this record from Arxiv