Flux qubit-based detector of microwave photons

Abstract

A theory of detection of microwave photons with a flux qubit-based detector is presented. We consider semiclassical approximation with the electromagnetic field being in a coherent state. Flux qubit is considered as a multilevel quantum system (qudit). By solving the Lindblad equation, we describe the time evolution of occupations of the qudit's levels for readout and reset stages of detection. When considering the reset stage, the time evolution is described by multiple avoided-level crossings, thus providing a multilevel Landau-Zener-Stuckelberg-Majorana (LZSM) problem. In addition to numerical calculations, we present an approximate solution for the description of the reset stage dynamics based on the adiabatic-impulse approximation and rate equation approach. Our theory may be useful for the theoretical description of driven-dissipative dynamics of qudits, including applications such as single-photon detection.

10 pages, 6 figures; Section IV and Appendix revised + minor changes; version accepted by Physical Review B

References in corpus (13)

• Microwave photonics with superconducting quantum circuits
• Imaging with a small number of photons
• Decoherence of flux qubits due to 1/f flux noise
• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Evolution of $1/f$ Flux Noise in Superconducting Qubits with Weak Magnetic Fields
• Theory of microwave single-photon detection using an impedance-matched $\Lambda$ system
• Quantum behaviour of a flux qubit coupled to a resonator
• Nonlinear Landau-Zener-Stückelberg-Majorana problem
• Alternative fast quantum logic gates using nonadiabatic Landau-Zener-Stückelberg-Majorana transitions
• Tuning the initial phase to control the final state of a driven qubit
• Photon-number resolution with microwave Josephson photomultipliers
• Interferometry of multi-level systems: rate-equation approach for a charge qudit
• Controlling qubit-oscillator systems using linear parameter sweeps

Cited by in corpus (3)

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