English

Environment-induced decay dynamics of anti-ferromagnetic order in Mott-Hubbard systems

Strongly Correlated Electrons 2022-03-30 v2 Statistical Mechanics Quantum Physics

Abstract

We study the dissipative Fermi-Hubbard model in the limit of weak tunneling and strong repulsive interactions, where each lattice site is tunnel-coupled to a Markovian fermionic bath. For cold baths at intermediate chemical potentials, the Mott insulator property remains stable and we find a fast relaxation of the particle number towards half filling. On longer time scales, we find that the anti-ferromagnetic order of the Mott-N\'eel ground state on bi-partite lattices decays, even at zero temperature. For zero and non-zero temperatures, we quantify the different relaxation time scales by means of waiting time distributions which can be derived from an effective (non-Hermitian) Hamiltonian and obtain fully analytic expressions for the Fermi-Hubbard model on a tetramer ring.

Keywords

Cite

@article{arxiv.2112.04956,
  title  = {Environment-induced decay dynamics of anti-ferromagnetic order in Mott-Hubbard systems},
  author = {Gernot Schaller and Friedemann Queisser and Nikodem Szpak and Jürgen König and Ralf Schützhold},
  journal= {arXiv preprint arXiv:2112.04956},
  year   = {2022}
}

Comments

9+4+2 pages, 4 figures, accepted in PRB