Title: Cooper pair splitting in real-time

Abstract: 
Cooper pair splitters are promising candidates for generating spin-entangled electrons. By splitting the Cooper pairs in a superconductor into different normal-state leads, spin-entanglement between spatially separated electrons can be achieved. In this talk, I will give an overview of our recent works on Cooper pair splitters [1-5]. I will discuss our proposal for observing and characterizing the splitting of Cooper pairs in real-time as well as its experimental realization [2,3]. I will then go on to talk about two proposals for controlling the splitting of Cooper pairs using time-dependent gate voltages [4]. Finally, if time allows, I will discuss how an entanglement witness can be formulated in terms of current cross-correlation measurements, which makes it possible to detect the entanglement of the split Cooper pairs [5].

[1] N. Walldorf, F. Brange, C. Padurariu, and CF, Phys. Rev. B 101, 205422 (2020)
[2] N. Walldorf, C. Padurariu, A.-P. Jauho, and CF, Phys. Rev. Lett. 120, 087701 (2018)
[3] A. Ranni, F. Brange, E. T. Mannila, CF, and V. F. Maisi, Nat. Commun. 12, 6358 (2021)
[4] F. Brange, K. Prech, and CF, Phys. Rev. Lett. 127, 237701 (2021)
[5] M. Tam, CF, and F. Brange, Phys. Rev. B 104, 245425 (2021)