Quantum Many-Body Dynamics of Dark Solitons in Optical Lattices

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We present a fully quantum many-body treatment of dark solitons formed by ultracold bosonic atoms in one-dimensional optical lattices.

• Using time-evolving block decimation to simulate the single-band Bose-Hubbard Hamiltonian, we consider the quantum dynamics of density and phase engineered dark solitons as well as the quantum evolution of mean-field dark solitons injected into the quantum model.
• The former approach directly models how one may create quantum entangled dark solitons in experiment.
• While we have already presented results regarding the latter approach elsewhere [Phys.