Emergence of Navier-Stokes hydrodynamics in chaotic quantum circuits
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866908400940482560 |
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| author | Singh, Hansveer McCulloch, Ewan Gopalakrishnan, Sarang Vasseur, Romain |
| author_facet | Singh, Hansveer McCulloch, Ewan Gopalakrishnan, Sarang Vasseur, Romain |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13892 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Emergence of Navier-Stokes hydrodynamics in chaotic quantum circuits Singh, Hansveer McCulloch, Ewan Gopalakrishnan, Sarang Vasseur, Romain Statistical Mechanics Chaotic Dynamics Quantum Physics 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. |
| title | Emergence of Navier-Stokes hydrodynamics in chaotic quantum circuits |
| topic | Statistical Mechanics Chaotic Dynamics Quantum Physics |
| url | https://arxiv.org/abs/2405.13892 |