Dresden 2017 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 76: Poster Session: Transport 2

TT 76.2: Poster

Thursday, March 23, 2017, 15:00–19:00, P2-OG1

Violation of the Cauchy-Schwarz inequality in two microwave cavities coupled to two parallel quantum dots — •Felicitas Hellbach, Fabian Pauly, Wolfgang Belzig, and Gianluca Rastelli — Fachbereich Physik, Universität Konstanz, D-78457 Konstanz, Germany

Since the realization of high quality superconducting microwave cavities [1], the so-called "circuit quantum electrodynamics" enables the possibility to investigate the coherent interaction of light and matter. Artificial atoms can be realized with quantum dots, and experiments have already proved strong coupling between a quantum dot and a microwave cavity [2]. We study two parallel quantum dots arranged in the geometry of an Aharonov-Bohm interferometer (ABI) [3]. Each dot is capacitively coupled to a microwave cavity. We explore how quantum correlation and entanglement between the two cavity fields is generated by the coherent transport of a single electron traveling in two different paths of the ABI. We calculate the second-order coherence function by use of a diagrammatic perturbative expansion (Keldysh Green's functions) to the fourth order in the dot-cavity coupling constant, taking into account vertex corrections. Ultimately, we test the Cauchy-Schwarz inequality for varying magnetic flux.

[1] A. Wallraff et al., Nature 431, 162 (2004)

[2] M. R. Delbecq et al., Nat. Commun. 4, 1400 (2013)

[3] A. W. Holleitner et al., Phys. Rev. Lett. 87, 256802 (2001)