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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2023, Volume 118, Issue 7, Pages 538–545
DOI: https://doi.org/10.31857/S1234567823190114
(Mi jetpl7057)
 

METHODS OF THEORETICAL PHYSICS

Diffusive modes of two-band fermions under number-conserving dissipative dynamics

A. A. Lyublinskayaab, I. S. Burmistrovbc

a Moscow Institute for Physics and Technology (National Research University), Dolgoprudnyi, Moscow region, 141700 Russia
b Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432 Russia
c Laboratory for Condensed Matter Physics, HSE University, Moscow, 101000 Russia
References:
Abstract: Driven-dissipative protocols are proposed to control and create nontrivial quantum many-body correlated states. Protocols conserving the number of particles stand apart. As well-known, in quantum systems with the unitary dynamics the particle number conservation and random scattering yield diffusive behavior of two-particle excitations (diffusons and cooperons). Existence of diffusive modes in the particle-number-conserving dissipative dynamics is not well studied yet. We explicitly demonstrate the existence of diffusons in a paradigmatic model of a two-band system, with dissipative dynamics aiming to empty one fermion band and to populate the other one. The studied model is generalization of the model introduced in F. Tonielli, J.C. Budich, A. Altland, and S. Diehl, Phys. Rev. Lett. 124, 240404 (2020). We find how the diffusion coefficient depends on details of a model and the rate of dissipation. We discuss how the existence of diffusive modes complicates engineering of macroscopic many-body correlated states.
Funding agency Grant number
Russian Science Foundation 22-22-00641
The work was supported by the Russian Science Foundation, project no. 22-22-00641.
Received: 12.08.2023
Revised: 27.08.2023
Accepted: 28.08.2023
English version:
Journal of Experimental and Theoretical Physics Letters, 2023, Volume 118, Issue 7, Pages 524–530
DOI: https://doi.org/10.1134/S0021364023602713
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Lyublinskaya, I. S. Burmistrov, “Diffusive modes of two-band fermions under number-conserving dissipative dynamics”, Pis'ma v Zh. Èksper. Teoret. Fiz., 118:7 (2023), 538–545; JETP Letters, 118:7 (2023), 524–530
Citation in format AMSBIB
\Bibitem{LyuBur23}
\by A.~A.~Lyublinskaya, I.~S.~Burmistrov
\paper Diffusive modes of two-band fermions under number-conserving dissipative dynamics
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2023
\vol 118
\issue 7
\pages 538--545
\mathnet{http://mi.mathnet.ru/jetpl7057}
\crossref{https://doi.org/10.31857/S1234567823190114}
\edn{https://elibrary.ru/xrxesz}
\transl
\jour JETP Letters
\yr 2023
\vol 118
\issue 7
\pages 524--530
\crossref{https://doi.org/10.1134/S0021364023602713}
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