تقرير
Emergence of Navier-Stokes hydrodynamics in chaotic quantum circuits
| العنوان: | Emergence of Navier-Stokes hydrodynamics in chaotic quantum circuits |
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| المؤلفون: | Singh, Hansveer, McCulloch, Ewan, Gopalakrishnan, Sarang, Vasseur, Romain |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter Nonlinear Sciences Quantum Physics |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Nonlinear Sciences - Chaotic Dynamics, Quantum Physics |
| الوصف: | 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 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.13892 |
| رقم الأكسشن: | edsarx.2405.13892 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |