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Workshop book - Physikzentrum der RWTH Aachen - RWTH Aachen ...

Workshop book - Physikzentrum der RWTH Aachen - RWTH Aachen ...

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Posters Tuesday February 5<br />

Poster 40:<br />

Magnetic field effects on the finite-frequency noise and ac conductance of a<br />

Kondo quantum dot out of equilibrium<br />

Sarah Müller<br />

We present analytic results for the finite-frequency current noise and the<br />

nonequilibrium ac conductance for a Kondo quantum dot in presence of a<br />

magnetic field. We determine the line shape close to resonances and show<br />

that while all resonances in the ac conductance are broadened by the transverse<br />

spin relaxation rate; the noise at finite field additionally involves the<br />

longitudinal rate as well as sharp kinks resulting in singular <strong>der</strong>ivatives. Our<br />

results provide a consistent theoretical description of recent experimental<br />

data [Phys. Rev. Lett. 108, 046802 (2012)] for the emission noise at zero<br />

magnetic field, and we propose the extension to finite field for which we<br />

present a detailed prediction.<br />

Poster 41:<br />

Electron entanglement in Cooper pair beam splitter with magnetic fields<br />

Stephan Weiss<br />

We develop a theory that suggests the efficient manipulation of entangled<br />

electrons provided by a Cooper pair beam splitter. The splitting of coherent<br />

electrons forming a spin singlet is present if the superconductor is tunnel<br />

coupled to a double quantum dot [1]. In or<strong>der</strong> to probe entanglement, we<br />

allow for an inhomogeneous and, in general, non-collinear magnetic field in<br />

both dots. If the DQD-SC system is embedded in a transport setup, non-local<br />

current and noise properties are obtained within the real-time diagrammatic<br />

method [2]. As a small parameter we use the hybridization between splitter<br />

and normal leads. The tunnel coupling to the superconductor is taken into<br />

account non-perturbatively. Furthermore, we provide a detailed investigation<br />

of the violation of Bell’s inequality for various parameter regimes.<br />

[1] J. Eldridge, M. Governale, and J. König, Phys. Rev. B 82 184507, (2010).<br />

[2] M. Governale, M. Pala, and J. König, Phys. Rev. B 77 134513, (2008).<br />

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