Jad C. Halimeh 1 Anton Wöllert 1 Ian P. McCulloch 2 Ulrich Schollwöck 1 Thomas Barthel 1, 3
Physical Review A, American Physical Society, 2014, 89, pp.063603
Quantum magnetism is a fundamental phenomenon of nature. As of late, it has garnered a lot of interest because experiments with ultracold atomic gases in optical lattices can be used as a simulator for phenomena of magnetic systems. A paradigmatic example is the time-evolution of a domain-wall state of a spin-1/2 Heisenberg chain, the so-called domain-wall melting. The model can be implemented by having two species of bosonic atoms with unity filling and strong on-site repulsion U in an optical lattice. In this paper, we study the domain-wall melting in such a setup on the basis of the time-dependent density matrix renormalization group (tDMRG). We are particularly interested in the effects of defects that originate from an imperfect preparation of the initial state. Typical defects are holes (empty sites) and flipped spins. We show that the dominating effects of holes on observables like the spatially resolved magnetization can be taken account of by a linear combination of spatially shifted observables from the clean case. For sufficiently large $U$, further effects due to holes become negligible. In contrast, the effects of spin flips are more severe as their dynamics occur on the same time-scale as that of the domain-wall melting itself. It is hence advisable to avoid preparation schemes that are based on spin-flips.
- 1. Department of Physics and Arnold Sommerfeld Center for Theoretical Physics
- 2. Centre for Engineered Quantum Systems
- 3. LPTMS – Laboratoire de Physique Théorique et Modèles Statistiques