Coherent Rabi response of a charge-phase qubit under microwave irradiation

We study theoretically the Rabi oscillations of a resonantly driven two-level system linearly coupled to a harmonic oscillator (vibrational mode) with frequency, ω0. We show that for weak coupling, ωp ω0, where ωp is the polaronic shift, Rabi oscillations are strongly modified in the vicinity of the Rabi-vibronic resonance ΩR = ω0, where ΩR is the Rabi frequency. The width of the resonance is (ΩR − ω0) ∼ ω 2/3 p ω 1/3 0 ωp. Within this domain of ΩR the actual frequency of the Rabi oscillations exhibits a bistable behavior as a function of ΩR. Importantly, within the resonant domain, the oscillator is highly excited, which allows to treat it classically.

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“…where s is determined from the cubic equation Eq (13). In the region of resonance, the difference ω 0 − s is ∼ δ 0 , which yields…”

Section: Decay Of the Oscillationsmentioning

confidence: 99%

“…However, in experiments Refs. [12,13] an ac driven superconducting qubit was coupled to a "slow" LC-oscillator tuned to Ω R . It was observed that the noise spectrum of the oscillator exhibits a Lorentzian peak 14 as a function of Ω R − ω 0 .…”

Section: Figmentioning

confidence: 99%

Rabi-vibronic resonance with large number of vibrational quanta

Glenn

Raǐkh

2011

Phys. Rev. B

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“…Eq. (31), where the phase shift probes the parametric inductance. In section 4 it will be demonstrated how these expressions can be used for the description of the realistic system.…”

Section: Capacitive Coupling With Nanomechanical Resonator Parametrimentioning

confidence: 99%

“…Matching of the ground and higher states with the one-photon energy was exploited to probe the upper levels of the Josephson-junction circuits [19][20][21][22][23][24][25][26]. With increasing driving power, the multiphoton excitations were used to study the features of the artificial atoms both for the two-level dynamics [27][28][29][30][31] and when the upper levels were involved [32][33][34][35][36]. For strong driving, the width of the resonance lines periodically tends to zero, which can be described as the destructive Landau-Zener-Stückelberg interference [37].…”

Section: Introductionmentioning

confidence: 99%

Multiphoton transitions in Josephson-junction qubits (Review Article)

Shevchenko¹,

Omelyanchouk²,

Il’ichev³

2012

Low Temperature Physics

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Two basic physical models, a two-level system and a harmonic oscillator, are realized on the mesoscopic scale as coupled qubit and resonator. The realistic system includes moreover the electronics for controlling the distance between the qubit energy levels and their populations and to read out the resonator's state, as well as the unavoidable dissipative environment. Such rich system is interesting both for the study of fundamental quantum phenomena on the mesoscopic scale and as a promising system for future electronic devices.We present recent results for the driven superconducting qubit -resonator system, where the resonator can be realized as an LC circuit or a nanomechanical resonator. Most of the results can be described by the semiclassical theory, where a qubit is treated as a quantum two-level system coupled to the classical driving field and the classical resonator. Application of this theory allows to describe many phenomena for the single and two coupled superconducting qubits, among which are the following: the equilibrium-state and weak-driving spectroscopy, Sisyphus damping and amplification, Landau-Zener-Stückelberg interferometry, the multiphoton transitions of both direct and ladder-type character, and creation of the inverse population for lasing. Contents

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Landau–Zener–Stückelberg interferometry

2010

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A transition between energy levels at an avoided crossing is known as a Landau-Zener transition. When a two-level system (TLS) is subject to periodic driving with sufficiently large amplitude, a sequence of transitions occurs. The phase accumulated between transitions (commonly known as the Stückelberg phase) may result in constructive or destructive interference. Accordingly, the physical observables of the system exhibit periodic dependence on the various system parameters. This phenomenon is often referred to as Landau-Zener-Stückelberg (LZS) interferometry. Phenomena related to LZS interferometry occur in a variety of physical systems. In particular, recent experiments on LZS interferometry in superconducting TLSs (qubits) have demonstrated the potential for using this kind of interferometry as an effective tool for obtaining the parameters characterizing the TLS as well as its interaction with the control fields and with the environment. Furthermore, strong driving could allow for fast and reliable control of the quantum system. Here we review recent experimental results on LZS interferometry, and we present related theory. 3 B. Superconducting qubits 3 C. Fano and Fabry-Perot interferometry using superconducting qubits 4 D. Hamiltonian and bases 4

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Coherent Rabi response of a charge-phase qubit under microwave irradiation

Cited by 7 publications

References 44 publications

Rabi-vibronic resonance with large number of vibrational quanta

Rabi-vibronic resonance with large number of vibrational quanta

Multiphoton transitions in Josephson-junction qubits (Review Article)

Landau–Zener–Stückelberg interferometry

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