Three-dimensional dynamics of a fermionic Mott wedding-cake in clean and disordered optical lattices

Alexey Kartsev, Daniel Karlsson, A. Privitera, Claudio Verdozzi

Research output: Contribution to journalArticlepeer-review


Non-equilibrium quantum phenomena are ubiquitous in nature. Yet, theoretical predictions on the real-time dynamics of many-body quantum systems remain formidably challenging, especially for high dimensions, strong interactions or disordered samples. Here we consider a notable paradigm of strongly correlated Fermi systems, the Mott phase of the Hubbard model, in a setup resembling ultracold-gases experiments. We study the three-dimensional expansion of a cloud into an optical lattice after removing the confining potential. We use time-dependent density-functional theory combined with dynamical mean-field theory, considering interactions below and above the Mott threshold, as well as disorder effects. At strong coupling, we observe multiple timescales in the melting of the Mott wedding-cake structure, as the Mott plateau persist orders of magnitude longer than the band insulating core. We also show that disorder destabilises the Mott plateau and that, compared to a clean setup, localisation can decrease, creating an interesting dynamic crossover during the expansion.
Original languageEnglish
Article number2570
JournalScientific Reports
Publication statusPublished - 2013

Subject classification (UKÄ)

  • Condensed Matter Physics


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