Dispersive readout: Universal theory beyond the rotating-wave approximation

Abstract

We present a unified picture of dispersive readout of quantum systems in and out of equilibrium. A cornerstone of the approach is the backaction of the measured system to the cavity obtained with non-equilibrium linear-response theory. It provides the dispersive shift of the cavity frequency in terms of a system susceptibility. It turns out that already effortless computations of the susceptibility allow one to generalize former results beyond a rotating-wave approximation. Examples are the readout of detuned qubits and thermally excited multi-level systems. For ac-driven quantum systems, we identify the relevant Fourier component of the susceptibility and introduce a computational scheme based on Floquet theory. The usefulness is demonstrated for two-tone spectroscopy and interference effects in driven two-level systems. This reveals that dispersive readout does not necessarily measure excitation probabilities.

10 pages, 6 figures

References in corpus (14)

• Driven quantum transport on the nanoscale
• Circuit Quantum Electrodynamics with a Spin Qubit
• A Coherent Spin-Photon Interface in Silicon
• Strong spin-photon coupling in silicon
• Single-shot readout of electron spin states in a quantum dot using spin-dependent tunnel rates
• Single-shot qubit readout in circuit Quantum Electrodynamics
• Single-shot qubit readout in circuit Quantum Electrodynamics
• Input-output theory for spin-photon coupling in Si double quantum dots
• Landau-Zener-Stuckelberg Interferometry of a Single Electron Charge Qubit
• Probing the strongly driven spin-boson model in a superconducting quantum circuit
• Dispersive readout of valley splittings in cavity-coupled silicon quantum dots
• Floquet spectroscopy of a strongly driven quantum dot charge qubit with a microwave resonator
• Qubit interference at avoided crossings: The role of driving shape and bath coupling
• Dispersive readout of adiabatic phases

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