![thermal expansion aquatic entangler thermal expansion aquatic entangler](http://www.minecraft-installer.de/Dateien/BilderHQ/Thermal%20Expansion.jpg)
The current fluctuations can be attributed to the competition between Cooper pair splitting and elastic cotunneling between the quantum dots via the superconductor. Using techniques from full counting statistics, we evaluate the electrical currents, their noise power spectra, and the power-power correlations in the output leads. With negatively biased drain electrodes and a large superconducting gap, the dynamics of the Cooper pair splitter can be described by a Markovian quantum master equation. 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 normal-state electrodes. Our proposal is feasible using current technology, and it paves the way for dynamic quantum information processing with spin-entangled electrons. To characterize the regularity of the Cooper pair splitter in the time domain, we analyze the g(2) function of the output currents and the distribution of waiting times between split Cooper pairs. We identify the optimal operating conditions for which exactly one Cooper pair is split per period of the external drive and the flow of entangled electrons becomes noiseless. The Cooper pair splitter is based on a superconductor coupled to quantum dots, whose energy levels are tuned in and out of resonance to control the splitting process. To circumvent this problem, we here propose and analyze a dynamic Cooper pair splitter that produces a noiseless and regular flow of spin-entangled electrons. However, the splitting of Cooper pairs is a random and noisy process, which hinders further synchronized operations on the entangled electrons. As such, our results may help guide and interpret future experiments on current fluctuations in Cooper pair splitters.Ĭooper pair splitters are promising candidates for generating spin-entangled electrons. Our work identifies several experimental signatures of the fundamental transport processes involved in Cooper pair splitting and provides specific means to quantify their relative strengths.
![thermal expansion aquatic entangler thermal expansion aquatic entangler](https://www.icalculator.info/images/physics/thermal-expansion-6.png)
To characterize the regularity of the Cooper pair splitter in the time domain, we analyze the $g^$-function of the output currents.
![thermal expansion aquatic entangler thermal expansion aquatic entangler](https://www.hawco.co.uk/en/media/catalog/product/t/i/tile-alco.jpg)
Our work thereby paves the way for an experimental detection of the entanglement produced by Cooper pair splitters.Ĭooper pair splitters are promising candidates for generating spin-entangled electrons. Specifically, we find that the entanglement of the spins can be detected even with a moderate level of decoherence. We identify the optimal measurement settings for witnessing the entanglement, and we illustrate the use of our entanglement witness with a realistic model of a Cooper pair splitter for which we evaluate the cross-correlations of the output currents. Here, we instead formulate an entanglement witness that can detect the spin-entanglement using only three cross-correlation measurements of the currents in the outputs of a Cooper pair splitter. Proposals to detect the entanglement by violating a Bell inequality typically require a large number of current cross-correlation measurements, and not all entangled states can be detected in this way. Cooper pairs in a superconductor can be split into separate electrons in a spin-singlet state, however, detecting their entanglement remains an open experimental challenge. The generation of spin-entangled electrons is an important prerequisite for future solid-state quantum technologies.