4.6 Article

Dynamics of weakly interacting bosons in optical lattices with flux

期刊

PHYSICAL REVIEW A
卷 98, 期 5, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.98.053625

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资金

  1. Ministry of Education, Science, and Technological Development of the Republic of Serbia [ON171017]
  2. Croatian Science Foundation [IP-2016-06-5885 SynthMagIA]
  3. DAAD (German Academic and Exchange Service) under the BKMH project
  4. Deutsche Forschungsgemeinschaft (DFG) [FOR 2414, 277974659]
  5. TOP-FOP project

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Realization of strong synthetic magnetic fields in driven optical lattices has enabled implementation of topological bands in cold-atom setups. A milestone has been reached by a recent measurement of a finite Chern number based on the dynamics of incoherent bosonic atoms. The measurements of the quantum Hall effect in semiconductors are related to the Chern-number measurement in a cold-atom setup; however, the design and complexity of the two types of measurements are quite different. Motivated by these recent developments, we investigate the dynamics of weakly interacting incoherent bosons in a two-dimensional driven optical lattice exposed to an external force, which provides a direct probe of the Chern number. We consider a realistic driving protocol in the regime of high driving frequency and focus on the role of weak repulsive interactions. We find that interactions lead to the redistribution of atoms over topological bands both through the conversion of interaction energy into kinetic energy during the expansion of the atomic cloud and due to an additional heating. Remarkably, we observe that the moderate atomic repulsion facilitates the measurement by flattening the distribution of atoms in the quasimomentum space. Our results also show that weak interactions can suppress the contribution of some higher-order nontopological terms in favor of the topological part of the effective model.

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