Wigner-function formalism for the detection of single microwave pulses in a resonator-coupled double quantum dot
arXiv:2410.14278 · doi:10.1103/PhysRevResearch.7.013305
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.
21 pages, 9 figures
References in corpus (45)
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- Advances in Quantum Cryptography
- Microwave photonics with superconducting quantum circuits
- Quantum Random Number Generators
- High Speed and High Efficiency Travelling Wave Single-Photon Detectors Embedded in Nanophotonic Circuits
- Dipole coupling of a double quantum dot to a microwave resonator
- Microwave Photon Counter Based on Josephson Junctions
- Mesoscopic Cavity Quantum Electrodynamics with Quantum Dots
- An avalanche-photodiode-based photon-number-resolving detector
- Strong Coupling Cavity QED with Gate-Defined Double Quantum Dots Enabled by a High Impedance Resonator
- Single microwave-photon detector using an artificial -type three-level system
- Quantum Mechanics in Phase Space
- Quantum non-demolition detection of an itinerant microwave photon
- Microwave Photon Detector in Circuit QED
- Robust concurrent remote entanglement between two superconducting qubits
- Semiconductor double quantum dot micromaser
- Hybrid Microwave-Cavity Heat Engine
- Circuit QED using a semiconductor double quantum dot
- Single-Shot Quantum Non-Demolition Detection of Itinerant Microwave Photons
- Quantum nondemolition detection of a propagating microwave photon
- Measurement of a Superconducting Qubit with a Microwave Photon Counter
- Reciprocity in quantum, electromagnetic and other wave scattering
- Wigner function approach to single electron coherence in quantum Hall edge channels
- Microwave Emission from Hybridized States in a Semiconductor Charge Qubit
- Continuous wave single photon transistor based on a superconducting circuit
- Nonlinear Temporal Dynamics of Strongly Coupled Quantum Dot-Cavity System
- Efficient and Continuous Microwave Photodetection in Hybrid Cavity-Semiconductor Nanowire Double Quantum Dot Diodes
- Full Counting Statistics of Photons Emitted by Double Quantum Dot
- Quantum efficiency of a microwave photon detector based on a double quantum dot
- Quasi-probability distributions for observables in dynamic systems
- Non-local transport properties of nanoscale conductor-microwave cavity systems
- Photon-mediated electron transport in hybrid circuit-QED
- Microwave photon detection at parametric criticality
- Non-absorbing high-efficiency counter for itinerant microwave photons
- Number-resolved photocounter for propagating microwave mode
- Pulsed Rabi oscillations in quantum two-level systems: beyond the Area Theorem
- Threshold Dynamics of a Semiconductor Single Atom Maser
- Wigner quasi-probability distribution for the infinite square well: energy eigenstates and time-dependent wave packets
- Photon statistics of a double quantum dot micromaser: Quantum treatment
- Full counting statistics of the photocurrent through a double quantum dot embedded in a driven microwave resonator
- Microwave power harvesting using resonator-coupled double quantum dot photodiode
- Energetics of microwaves probed by double quantum dot absorption
- Efficient Microwave Photon to Electron Conversion in a High Impedance Quantum Circuit
- Continuous microwave photon counting by semiconductor-superconductor hybrids
- Charge-photon transport statistics and short-time correlations in a single quantum dot-resonator system with arbitrarily large coupling parameter