Freiburg 2019 – scientific programme

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FM: Fall Meeting

FM 42: Poster: Quantum Computation

FM 42.11: Poster

Tuesday, September 24, 2019, 16:30–18:30, Tents

Superfluid phases of long-range interacting bosons — •Rebecca Kraus¹, Shraddha Sharma¹, Krzysztof Biedroń², Jakub Zakrzewski², and Giovanna Morigi¹ — ¹Theoretische Physik, Universität des Saarlandes, Saarbrücken, Germany — ²Instytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet Jagielloński, Kraków, Poland

The quantum statistical mechanics of long-range interacting systems is to large extent unexplored. The simulation in the laboratory using cold atom systems would allow one to test predictions and gain understanding on a problem, which is often intractable numerically. In this work we theoretically analyse the interplay of long-and short-range interactions on the onset of superfluidity in a gas of bosons in an optical lattice. We first show that long-range interactions give rise to additional hopping terms which depend nonlineary on the onsite density, and which have different forms depending on the range of the interactions. We then focus on van-der-Waals and on dipolar interactions in a quasi one dimensional geometry. In this regime superfluid phases have been predicted, which have different properties as a function of the density and of the strength of the interactions. We characterize their stability and properties by means of DMRG numerical simulations. We then compare our predictions to the mean-field predictions of the superfluid phases of all-connected atoms, as for ultracold atoms in optical resonators. Our study is performed using experimental accessible parameters, our predictions can be verified in existing experimental setups.