Expansion dynamics of strongly correlated lattice bosons

• URL: http://arxiv.org/abs/2507.09397v1
• Date: Sat, 12 Jul 2025 20:43:10 GMT
• Title: Expansion dynamics of strongly correlated lattice bosons
• Authors: Julian Schwingel, Michael Turaev, Johann Kroha, Sayak Ray,
• Abstract summary: We study the condensate-temporal dynamics of bosons on a two-dimensional Hubbard lattice in the strongly correlated regime.<n>We derive a quantum master equation for the time evolution of the system's local density matrix at each lattice site.<n>We observe an expansion of the condensate, as expected followed by slow, diffusive transport of the normal bosons.
• Score: 0.5308136763388956
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the spatio-temporal dynamics of interacting bosons on a two-dimensional Hubbard lattice in the strongly interacting regime, taking into account the dynamics of condensate amplitude as well as the direct transport of non-condensed fluctuations. To that end we develop a selfconsistent density-matrix approach which goes beyond the standard Gutzwiller mean-field theory. Starting from the Liouville-von-Neumann equation we derive a quantum master equation for the time evolution of the system's local density matrix at each lattice site, with a dynamical bath that represents the rest of the system. We apply this method to the expansion dynamics of an initially prepared cloud of interacting bosons in an optical lattice. We observe a ballistic expansion of the condensate, as expected, followed by slow, diffusive transport of the normal bosons. We discuss, in particular, the robustness of the Mott insulator phase as well as its melting due to incoherent transport. The method should be applicable to various models of lattice bosons in the strongly correlated regime.

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