Wigner-function formalism for the detection of single microwave pulses in a resonator-coupled double quantum dot
- URL: http://arxiv.org/abs/2410.14278v1
- Date: Fri, 18 Oct 2024 08:35:42 GMT
- Title: Wigner-function formalism for the detection of single microwave pulses in a resonator-coupled double quantum dot
- Authors: Drilon Zenelaj, Peter Samuelsson, Patrick P. Potts,
- Abstract summary: We theoretically analyze the photodetection of single microwave pulses.
We find a trade-off between detecting the time and the frequency of the incoming photons in agreement with the time-energy uncertainty relation.
Our findings give insight into the time-dependent properties of microwave photons interacting with electrons in a DQD-resonator hybrid system.
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- Abstract: Semiconductor double quantum dots (DQD) coupled to superconducting microwave resonators offer a promising platform for the detection of single microwave photons. In previous works, the photodetection was studied for a monochromatic source of microwave photons. Here, we theoretically analyze the photodetection of single microwave pulses. The photodetection in this case can be seen as a non-linear filtering process of an incoming signal, the pulse, to an outgoing one, the photocurrent. This analogy to signal processing motivated the derivation of a Wigner-function formalism which provides a compelling visualization of the time and frequency properties of the photodetector for low intensities. We find a trade-off between detecting the time and the frequency of the incoming photons in agreement with the time-energy uncertainty relation. As the intensity of the source increases, the photodetection is influenced by coherent Rabi oscillations of the DQD. Our findings give insight into the time-dependent properties of microwave photons interacting with electrons in a DQD-resonator hybrid system and provide guidance for experiments on single microwave pulse detection.
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