Light-Cone and Diffusive Propagation of Correlations in a Many-Body Dissipative System (B3)

J.-S. Bernier, R. Tan, L. Bonnes, C. Guo, D. Poletti, and C. Kollath:

Phys. Rev. Lett. 120, 020401 (2018)

🔓 arXiv:1702.04136 (2017)

We analyze the propagation of correlations after a sudden interaction change in a strongly interacting quantum system in contact with an environment. In particular, we consider an interaction quench in the Bose-Hubbard model, deep within the Mott-insulating phase, under the effect of dephasing. We observe that dissipation effectively speeds up the propagation of single-particle correlations while reducing their coherence. In contrast, for two-point density correlations, the initial ballistic propagation regime gives way to diffusion at intermediate times. Numerical simulations, based on a time-dependent matrix product state algorithm, are supplemented by a quantitatively accurate fermionic quasiparticle approach providing an intuitive description of the initial dynamics in terms of holon and doublon excitations.