Reaction-diffusive dynamics of number-conserving dissipative quantum state preparation

January 24 at 15:00, Moscow time, ACTP will hold the seminar on "Reaction-diffusive dynamics of number-conserving dissipative quantum state preparation" by Prof. Igor Burmistrov
Abstract
The use of dissipation for the controlled creation of nontrivial quantum many-body correlated states is of much fundamental and practical interest. What is the result of imposing number conservation, which, in closed system, gives rise to diffusive spreading? We investigate this question for a paradigmatic model of a two-band system, with dissipative dynamics aiming to empty one band and to populate the other, which had been introduced before for the dissipative stabilization of topological states. Going beyond the mean-field treatment of the dissipative dynamics, we demonstrate the emergence of a diffusive regime for the particle and hole density modes at intermediate length- and time-scales, which, interestingly, can only be excited in nonlinear response to external fields. We also identify processes that limit the diffusive behavior of this mode at the longest length- and time-scales. Strikingly, we find that these processes lead to a reaction-diffusion dynamics governed by the Fisher-Kolmogorov-Petrovsky-Piskunov equation, making the designed dark state unstable towards a state with a finite particle and hole density.
The talk is based on the following publications:
1. P. A. Nosov, D. S. Shapiro, M. Goldstein, I. S. Burmistrov, "Reaction-diffusive dynamics of number-conserving dissipative quantum state preparation", Phys. Rev. B 107, 174312 (2023)
2. A.A. Lyublinskaya, I.S. Burmistrov, "Diffusive modes of two-band fermions under number-conserving dissipative dynamics", JETP Letters 118, 524 (2023)