Diffusive Modes of Two-Band Fermions Under Number-Conserving Dissipative Dynamics

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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.

About the authors

A. A. Lyublinskaya

Landau Institute for Theoretical Physics, Russian Academy of Sciences;Moscow Institute for Physics and Technology (National Research University)

Email: burmi@itp.ac.ru
142432, Chernogolovka, Moscow region, Russia;141700, Dolgoprudnyi, Moscow region, Russia

I. S. Burmistrov

Landau Institute for Theoretical Physics, Russian Academy of Sciences;Laboratory for Condensed Matter Physics, HSE University

Author for correspondence.
Email: burmi@itp.ac.ru
142432, Chernogolovka, Moscow region, Russia;141700, Dolgoprudnyi, Moscow region, Russia

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