Excitations and impurity dynamics in a fermionic Mott insulator with nearest-neighbor interactions

Abstract

We study analytically and with the numerical time-evolving block decimation method the dynamics of an impurity in a bath of spinless fermions with nearest-neighbor interactions in a one-dimensional lattice. The bath is in a Mott insulator state with alternating sites occupied and the impurity interacts with the bath by repulsive on-site interactions. We find that when the magnitudes of the on-site and nearest-neighbor interactions are close to each other, the system shows excitations of two qualitatively distinct types. For the first type, a domain wall and an anti-domain wall of density propagate in opposite directions, while the impurity stays at the initial position. For the second one, the impurity is bound to the anti-domain wall while the domain wall propagates, an excitation where the impurity and bath are closely coupled.

10 pages, 12 figures

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Cited by in corpus (4)

• Doping a lattice-trapped bosonic species with impurities: From ground state properties to correlated tunneling dynamics
• Transconducting transition for a dynamic boundary coupled to several Luttinger liquids
• Decoherence of an impurity in a one-dimensional fermionic bath with mass imbalance
• Impurity and soliton dynamics in a Fermi gas with nearest-neighbor interactions