Reactiondiffusive dynamics of numberconserving dissipative quantum state preparation
Abstract
The use of dissipation for the controlled creation of nontrivial quantum manybody 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 twoband 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 meanfield treatment of the dissipative dynamics, we demonstrate the emergence of a diffusive regime for the particle and hole density modes at intermediate length and timescales, 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 timescales. Strikingly, we find that these processes lead to a reactiondiffusion dynamics governed by the FisherKolmogorovPetrovskyPiskunov equation, making the designed dark state unstable towards a state with a finite particle and hole density.
 Publication:

Physical Review B
 Pub Date:
 May 2023
 DOI:
 10.1103/PhysRevB.107.174312
 arXiv:
 arXiv:2301.05258
 Bibcode:
 2023PhRvB.107q4312N
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Mesoscale and Nanoscale Physics;
 Condensed Matter  Quantum Gases;
 Quantum Physics
 EPrint:
 25 pages, 11 figures