Small-signal equivalent circuit for double quantum dots at low-frequencies

Abstract

Due to the quantum nature of current flow in single-electron devices, new physical phenomena can manifest when probed at finite frequencies. Here, we present a semi-classical small-signal model approach to replace complex single-electron devices by linear parametric circuit components that could be readily used in analogue circuit simulators. Our approach is based on weakly-driven quantum two-level systems and here we use it to calculate the finite-frequency impedance of a single-electron double quantum dot (DQD). We find that the total impedance is composed by three elements that were previously considered separately: a dissipative term, corresponding to the Sisyphus resistance, and two dispersive terms, comprised of the quantum and tunneling capacitance. Finally, we combine the parametric terms to understand the interaction of the DQD with a slow classical electrical oscillator which finds applications in non-resonant state readout of quantum bits and parametric amplification.

References in corpus (23)

• Landau-Zener-Stuckelberg interferometry
• Violation of Kirchhoff's Laws for a Coherent RC Circuit
• Dispersive Readout of a Few-Electron Double Quantum Dot with Fast rf Gate-Sensors
• A high-sensitivity gate-based charge sensor in silicon
• Gate-based single-shot readout of spins in silicon
• Introduction to Quantum-limited Parametric Amplification of Quantum Signals with Josephson Circuits
• Charge and spin state readout of a double quantum dot coupled to a resonator
• Gate-reflectometry dispersive readout and coherent control of a spin qubit in silicon
• Observation of quantum capacitance in the Cooper-pair transistor
• Sisyphus cooling and amplification by a superconducting qubit
• Fast charge sensing of a cavity-coupled double quantum dot using a Josephson parametric amplifier
• Direct Observation of Josephson Capacitance
• Quantum and Tunnelling Capacitance in Charge and Spin Qubits
• Mesoscopic admittance of a double quantum dot
• Dispersively detected Pauli Spin-Blockade in a Silicon Nanowire Field-Effect Transistor
• Measuring the complex admittance of a carbon nanotube double quantum dot
• Gate-sensing coherent charge oscillations in a silicon field-effect transistor
• All-Microwave Control and Dispersive Readout of Gate-Defined Quantum Dot Qubits in Circuit Quantum Electrodynamics
• A Radio Frequency Charge Parity Meter
• Single-shot single-gate RF spin readout in silicon
• Quantum Friction of Micromechanical Resonators at Low Temperatures
• Impedance of the single electron transistor at radio-frequencies
• Fast readout of a single Cooper-pair box using its quantum capacitance

Cited by in corpus (20)

• Scaling silicon-based quantum computing using CMOS technology: State-of-the-art, Challenges and Perspectives
• Probing quantum devices with radio-frequency reflectometry
• A CMOS dynamic random access architecture for radio-frequency readout of quantum devices
• Fusion protocol for Majorana modes in coupled quantum dots
• Charge noise and overdrive errors in reflectometry-based charge, spin and Majorana qubit readout
• Rapid microwave-only characterization and readout of quantum dots using multiplexed gigahertz-frequency resonators
• Revealing charge-tunneling processes between a quantum dot and a superconducting island through gate sensing
• Classification and magic magnetic-field directions for spin-orbit-coupled double quantum dots
• A quantum interference capacitor based on double-passage Landau-Zener-Stückelberg-Majorana interferometry
• Non-galvanic calibration and operation of a quantum dot thermometer
• Low-temperature tunable radio-frequency resonator for sensitive dispersive readout of nanoelectronic devices
• Variable and orbital-dependent spin-orbit field orientations in a InSb double quantum dot characterized via dispersive gate sensing
• A quantum dot-based frequency multiplier
• Multi-module microwave assembly for fast read-out and charge noise characterization of silicon quantum dots
• Non-reciprocal Pauli Spin Blockade in a Silicon Double Quantum Dot
• Unified linear response theory of quantum electronic circuits
• Beyond-adiabatic Quantum Admittance of a Semiconductor Quantum Dot at High Frequencies: Rethinking Reflectometry as Polaron Dynamics
• Flux-Tunable Hybridization in a Double Quantum Dot Interferometer
• Polarimetry With Spins in the Solid State
• Four-state discrimination for a pair of spin qubits via gate reflectometry