Abstract

We report on the spectrum of a superconducting transmon device coupled to a planar superconducting resonator in the strong dispersive limit where discrete peaks, each corresponding to a different number of photons, are resolved. A thermal population of 5.474 GHz photons at an effective resonator temperature of T = 120 mK results in a weak n = 1 photon peak along with the n = 0 photon peak in the qubit spectrum in the absence of a coherent drive on the resonator. Two-tone spectroscopy using independent coupler and probe tones reveals an Autler–Townes splitting in the thermal n = 1 photon peak. The observed effect is explained accurately using the four lowest levels of the dispersively dressed qubit–resonator system and compared to results from numerical simulations of the steady-state master equation for the coupled system.

Highlights

  • Over the past decade, superconducting quantum circuits have emerged as promising candidates for quantum computation [1, 2]

  • Many superconducting qubits are based on cavity [5, 9, 10] or circuit quantum electrodynamics [11, 12], which rely on the interaction of a qubit with the quantized electromagnetic field in a resonator

  • ‘resonator-like’ transitions, taking into account higher order Kerr-type nonlinearities, only a few terms survive in the summation (4) and all others can be neglected in the rotating wave approximation (RWA)

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Summary

Introduction

Over the past decade, superconducting quantum circuits have emerged as promising candidates for quantum computation [1, 2]. Many superconducting qubits are based on cavity [5, 9, 10] or circuit quantum electrodynamics (cQED) [11, 12], which rely on the interaction of a qubit with the quantized electromagnetic field in a resonator. These architectures have been able to realize strong dispersive coupling between the qubit and resonator by using qubits with large dipole moments [5, 13]. While the Autler-Townes effect has previously been observed in superconducting qubits [18, 19], here the effect involves the dressed resonator-qubit states and is made possible by the strong dispersive coupling

The driven Jaynes-Cummings system
Master equation
Autler-Townes mechanism
Device design and fabrication
Experimental set-up
Experimental parameters
Photon number-splitting
Autler-Townes splitting in the dressed Jaynes-Cummings system
Conclusion
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