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Cooper pair splitting (CPS) can induce non-local correlation between two normal conductors coupling to a superconductor. CPS into a double one-dimensional electron gas is an appropriate platform for extracting large amount of entangled…

A Cooper pair splitter consists of two quantum dots side-coupled to a conventional superconductor. Usually, the quantum dots are assumed to have a large charging energy compared to the superconducting gap, in order to suppress processes…

Mesoscale and Nanoscale Physics · Physics 2016-04-07 Ehud Amitai , Rakesh P. Tiwari , Stefan Walter , Thomas L. Schmidt , Simon E. Nigg

We consider the sub-gap physics of a hybrid double-quantum dot Cooper-pair splitter with large single-level spacings, in the presence of tunnelling between the dots and finite Coulomb intra- and inter-dot Coulomb repulsion. In the limit of…

Mesoscale and Nanoscale Physics · Physics 2016-12-16 Robert Hussein , Lina Jaurigue , Michele Governale , Alessandro Braggio

We analyze microscopically a Cooper pair splitting device in which a central superconducting lead is connected to two weakly coupled normal leads through a carbon nanotube. We determine the splitting efficiency at resonance in terms of…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 P. Burset , W. J. Herrera , A. Levy Yeyati

Quantum point contact or QPC -- a constriction in a semiconducting two-dimensional (2D) electron system with a quantized conductance -- has been found as the building block of novel spintronic, and topological electronic circuits. They can…

Semiconductor quantum dots have proven to be a useful platform for quantum simulation in the solid state. However, implementing a superconducting coupling between quantum dots mediated by a Cooper pair has so far suffered from limited…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Chun-Xiao Liu , Guanzhong Wang , Tom Dvir , Michael Wimmer

Recent experiments have observed Cooper pair splitting in quantum dots coupled to superconductors, and efficient schemes for controlling and timing the splitting process are now called for. Here, we propose and analyze an adiabatic Cooper…

Mesoscale and Nanoscale Physics · Physics 2024-02-09 Fredrik Brange , Riya Baruah , Christian Flindt

Nanodevices consisting of a quantum dot tunnel coupled to one superconducting and two normal electrodes may serve as a source of entangled electrons. As a result of crossed Andreev reflection the Cooper pair of s-wave character may be split…

Mesoscale and Nanoscale Physics · Physics 2016-08-02 G. Michalek , T. Domanski , K. I. Wysokinski

We consider the out-of-equilibrium behavior of a general class of mesoscopic devices composed of several superconducting or/and normal metal leads separated by quantum dots. Starting from a microscopic Hamiltonian description, we provide a…

Superconductivity · Physics 2020-09-02 R. Jacquet , A. Popoff , K. -I. Imura , J. Rech , T. Jonckheere , L. Raymond , A. Zazunov , T. Martin

Cooper pair splitters are promising candidates for generating spin-entangled electrons. However, the splitting of Cooper pairs is a random and noisy process, which hinders further synchronized operations on the entangled electrons. To…

Mesoscale and Nanoscale Physics · Physics 2021-12-02 Fredrik Brange , Kacper Prech , Christian Flindt

This article discusses how to demonstrate the entanglement of the split Cooper pairs produced in a double-quantum-dot based Cooper pair beam splitter (CPS), by performing the microwave spectroscopy of the CPS. More precisely, one can study…

Mesoscale and Nanoscale Physics · Physics 2012-09-12 Audrey Cottet

In most naturally occurring superconductors, electrons with opposite spins are paired up to form Cooper pairs. This includes both conventional $s$-wave superconductors such as aluminum as well as high-$T_\text{c}$, $d$-wave superconductors.…

We investigate theoretically the noise and the full counting statistics of electrons that are emitted from a superconductor into two spatially separated quantum dots by the splitting of Cooper pairs and further on collected in two…

Mesoscale and Nanoscale Physics · Physics 2020-05-21 Nicklas Walldorf , Fredrik Brange , Ciprian Padurariu , Christian Flindt

This work discusses theoretically the behavior of a microwave cavity and a Cooper pair beam splitter (CPS) coupled non-resonantly. The cavity frequency pull is modified when the CPS is resonant with a microwave excitation. This provides a…

Mesoscale and Nanoscale Physics · Physics 2014-09-25 Audrey Cottet

The electrons forming a Cooper pair in a superconductor can be spatially separated preserving their spin entanglement by means of quantum dots coupled to both the superconductor and independent normal leads. We investigate the…

Mesoscale and Nanoscale Physics · Physics 2019-01-09 Rafael Sánchez , Pablo Burset , Alfredo Levy Yeyati

Cooper pair splitting (CPS) is a way to create spatially separated, entangled electron pairs. To this day, CPS is often identified in experiments as a spatial current correlation. However, such correlations can arise even in the absence of…

Mesoscale and Nanoscale Physics · Physics 2022-05-27 Zoltán Scherübl , Gergő Fülöp , Jörg Gramich , András Pályi , Christian Schönenberger , Jesper Nygård , Szabolcs Csonka

Superconductor/semiconductor hybrid devices have attracted increasing interest in the past years. Superconducting electronics aims to complement semiconductor technology, while hybrid architectures are at the forefront of new ideas such as…

Superconducting quantum circuits derive their nonlinearity from the Josephson energy-phase relation. Besides the fundamental $\cos\phi$ term, this relation can also contain higher Fourier harmonics $\cos(k\phi)$ corresponding to correlated…

We consider a double quantum dot coupled to two normal leads and one superconducting lead, modeling the Cooper pair beam splitter studied in two recent experiments. Starting from a microscopic Hamiltonian we derive a general expression for…

Mesoscale and Nanoscale Physics · Physics 2011-03-25 D. Chevallier , J. Rech , T. Jonckheere , T. Martin

The Cooper-pair transistor (CPT), a small superconducting island enclosed between two Josephson weak links, is the atomic building block of various superconducting quantum circuits. Utilizing gate-tunable semiconductor channels as weak…

Mesoscale and Nanoscale Physics · Physics 2020-03-05 Alex Proutski , Dominique Laroche , Bas van 't Hooft , Peter Krogstrup , Jesper Nygård , Leo P. Kouwenhoven , Attila Geresdi