Dynamic behaviour of Josephson-junction qubits: crossover between Rabi oscillations and Landau-Zener transitions

TL;DR

This paper investigates the dynamic behavior of superconducting Josephson-junction qubits, analyzing the transition between Rabi oscillations and Landau-Zener transitions by solving the master equation for a two-level system with periodically changing parameters.

Contribution

It introduces a comprehensive analysis of qubit dynamics under periodic parameter variation, bridging Rabi oscillations and Landau-Zener transitions using a master equation approach.

Findings

Time-averaged energy level populations depend on control parameters.

Theoretical framework applies to superconducting qubits with periodic modulation.

Insights into qubit control mechanisms for quantum computing.

Abstract

We study the dynamic behaviour of a quantum two-level system with periodically varying parameters by solving the master equation for the density matrix. Two limiting cases are considered: multiphoton Rabi oscillations and Landau-Zener transitions. The approach is applied to the description of the dynamics of superconducting qubits. In particular, the case of the interferometer-type charge qubit with periodically varying parameters (gate voltage or magnetic flux) is investigated. The time-averaged energy level populations are calculated as funtions of the qubit's control parameters.