Dynamic transition in Landau-Zener-Stückelberg interferometry of dissipative systems: the case of the flux qubit

Abstract

We study Landau-Zener-Stuckelberg (LZS) interferometry in multilevel systems coupled to an Ohmic quantum bath. We consider the case of superconducting flux qubits driven by a dc+ac magnetic fields, but our results can apply to other similar systems. We find a dynamic transition manifested by a symmetry change in the structure of the LZS interference pattern, plotted as a function of ac amplitude and dc detuning. The dynamic transition is from a LZS pattern with nearly symmetric multiphoton resonances to antisymmetric multiphoton resonances at long times (above the relaxation time). We also show that the presence of a resonant mode in the quantum bath can impede the dynamic transition when the resonant frequency is of the order of the qubit gap. Our results are obtained by a numerical calculation of the finite time and the asymptotic stationary population of the qubit states, using the Floquet-Markov approach to solve a realistic model of the flux qubit considering up to 10 energy levels.

One new figure added. Final version to be published in PRB

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• Amplitude tuning of steady state entanglement in strongly driven coupled qubits
• Floquet state depletion in ac-driven circuit QED
• Landau-Zener-Stückelberg Interferometry in dissipative Circuit Quantum Electrodynamics
• A quantum interference capacitor based on double-passage Landau-Zener-Stückelberg-Majorana interferometry
• Revealing the system-bath coupling via Landau-Zener-Stückelberg interferometry in superconducting qubits
• Rate-equation approach for multi-level quantum systems
• Interferometry of multi-level systems: rate-equation approach for a charge qudit
• Mesoscopic fluctuations in biharmonically driven flux qubits
• Efficient steady state entanglement generation in strongly driven coupled qubits