Diffusive Modes of TwoBand Fermions Under NumberConserving Dissipative Dynamics
Abstract
Drivendissipative protocols are proposed to control and create nontrivial quantum manybody correlated states. Protocols conserving the number of particles stand apart. As wellknown, in quantum systems with the unitary dynamics the particle number conservation and random scattering yield diffusive behavior of twoparticle excitations (diffusons and cooperons). Existence of diffusive modes in the particlenumberconserving dissipative dynamics is not well studied yet. We explicitly demonstrate the existence of diffusons in a paradigmatic model of a twoband 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 manybody correlated states.
 Publication:

Soviet Journal of Experimental and Theoretical Physics Letters
 Pub Date:
 October 2023
 DOI:
 10.1134/S0021364023602713
 arXiv:
 arXiv:2308.06553
 Bibcode:
 2023JETPL.118..524L
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Mesoscale and Nanoscale Physics;
 Condensed Matter  Quantum Gases;
 Quantum Physics
 EPrint:
 6 pages, 2 figures, to appear in JETP Letters