Mainz 2017 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 58: Quantum Gases: Fermions III

Q 58.7: Talk

Friday, March 10, 2017, 16:00–16:15, P 204

Detecting topological order in finite-temperature and driven dissipative systems — •Dominik Linzner and Michael Fleischhauer — Department of Physics and Research Center OPTIMAS, University of Kaiserslautern, 67663 Kaiserslautern, Germany

We propose a conceptual detection scheme of topological invariants for thermal and driven, dissipative gaussian systems. In closed systems topological order can be measured by means of quantized transport which coincides with a quantized winding of the polarization. This connection breaks down for mixed states, e.g. in the presence of a finite temperature. While in previous work [1] we have identified that the winding of the polarization is still quantized in open systems and can therefore be used to classify topological order, the same no longer holds true for transport properties. We show, however, that an auxiliary system at T≈0 coupled to the finite-temperature or driven system can inherit its topological properties. Thus a non-trivial winding of the polarization in the open system leads to a quantized particle transport in the auxiliary system. This allows us to detect topological order in open systems. [1] D. Linzner, L. Wawer, F. Grusdt and M. Fleischhauer, Phys. Rev. B 94, 201105(R) (2016)