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Résumé |
Even though open problems still survive, today we can safely assert that we
know how to deal with 1D quantum many-body uniform systems, with a large number
of well developed and established tools available. Much less is instead
understood for inhomogeneous systems, both in and out of equilibrium.
Recently, different approaches have been introduced to tackle such systems. On
one side, the so-called generalized hydrodynamics (GHD) for integrable models
[1, 2]. On the other, it was also understood that conformal field theory (CFT)
methods can be extended to deal with inhomogeneous situations at the price of
working in a curved background [3, 4].
In this seminar, after introducing the main ideas behind GHD and CFT for
inhomogeneous systems, I am going to present the result of our the attempts to
merge GHD with ideas coming from CFT in curved backgrounds, namely the theory
of Quantum Generalized Hydrodynamics (QGHD) [5].
QGHD is a theory of quantum fluctuations on top of GHD. It can be viewed as a
multi-component Luttinger liquid theory, describing quantum fluctuations of
truly nonequilibrium systems where conventional Luttinger liquid theory fails.
References:
[1] B. Bertini, M. Collura, J. De Nardis, M. Fagotti, Phys. Rev. Lett. 117,
207201.
[2] O. A. Castro-Alvaredo, B. Doyon, T. Yoshimura, Phys. Rev. X 6, 041065
[3] J. Dubail, J.-M. Stéphan, J. Viti, P. Calabrese, SciPost Phys. 2, 002
(2017)
[4] P. Ruggiero, Y. Brun, J. Dubail, SciPost Phys. 6, 051 (2019)
[5] P. Ruggiero, P. Calabrese, B. Doyon, J. Dubail, Phys. Rev. Lett. 124,
140603 (2020). |
