Dispersive readout of adiabatic phases

Abstract

We propose a method for the measurement of adiabatic phases of periodically driven quantum systems coupled to an open cavity that enables dispersive readout. It turns out that the cavity transmission exhibits peaks at frequencies determined by a resonance condition that involves the dynamical and the geometric phase. Since these phases scale differently with the driving frequency, one can determine them by fitting the peak positions to the theoretically expected behavior. For the derivation of the resonance condition and for a numerical study, we develop a Floquet theory for the dispersive readout of ac-driven quantum systems. The feasibility is demonstrated for two test cases that generalize Landau-Zener-Stückelberg-Majorana interference to two-parameter driving.

arXiv comment7 pages, final version

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Cited by in corpus (18)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Electrically Protected Valley-Orbit Qubits in Silicon
• Floquet spectroscopy of a strongly driven quantum dot charge qubit with a microwave resonator
• Dispersive readout: Universal theory beyond the rotating-wave approximation
• Photon assisted braiding of Majorana fermions in a cavity
• Hybrid superconductor-semiconductor systems for quantum technology
• Probing two driven double quantum dots strongly coupled to a cavity
• Topology detection in cavity QED
• Dispersive readout of a weakly coupled qubit via the parity-time-symmetric phase transition
• Microwave detection of gliding Majorana zero modes in nanowires
• Transmission spectra of the driven, dissipative Rabi model in the USC regime
• Unifying Floquet theory of longitudinal and dispersive readout
• Unified linear response theory of quantum electronic circuits
• Floquet analysis of extended Rabi models based on high-frequency expansion
• Berry-phase induced entanglement of hole-spin qubits in a microwave cavity
• Longitudinal coupling between electrically driven spin-qubits and a resonator
• Beyond-adiabatic Quantum Admittance of a Semiconductor Quantum Dot at High Frequencies: Rethinking Reflectometry as Polaron Dynamics
• Efficient steady state entanglement generation in strongly driven coupled qubits