Multiphoton transitions in a spin system driven by strong bichromatic field

Saǐko, A. P.; Fedoruk, G. G.; Markevich, S. A.

doi:10.1134/s1063776107110039

Cited by 16 publications

(22 citation statements)

References 7 publications

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“…Such transitions were studied both in microscopic systems [2,125], and in the Josephson-junction qubits [126][127][128]. Also for the case of a flux qubit it was demonstrated that the persistence of Rabi oscillations can be supported by either the low-frequency signal [129] or induced by noise [130].…”

Section: Dynamical Behavior Of a Two-level Systemmentioning

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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Section: Dynamical Behavior Of a Two-level Systemmentioning

confidence: 99%

Multiphoton transitions in Josephson-junction qubits (Review Article)

Shevchenko¹,

Omelyanchouk²,

Il’ichev³

2012

Low Temperature Physics

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“…22 where a related quantity, namely the absorption of an external field by a resonantly driven spin-1 2 system in a modulated longitudinal field, has been studied.…”

Section: B the Shape Of The Envelopementioning

confidence: 99%

Magnetic resonance in slowly modulated longitudinal field: Modified shape of the Rabi oscillations

et al. 2013

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The sensitivity of the Rabi oscillations of a resonantly driven spin-1 2 system to a weak and slow modulation of the static longitudinal magnetic field, B0, is studied theoretically. We establish the mapping of a weakly driven two-level system with modulation onto a strongly driven system without modulation. The mapping suggests that different regimes of spin dynamics, known for a strongly driven system, can be realized under common experimental conditions of weak driving (driving field B1 B0) upon proper choice of the domains of modulation frequency, ωm, and amplitude, B2. Fast modulation ωm ΩR, where ΩR is the Rabi frequency, emulates the regime of driving frequency much bigger than the resonant frequency. Strong modulation, B2 B1, emulates the regime B1 B0. Resonant modulation, ωm ≈ ΩR, gives rise to an envelope of the Rabi oscillations. The shape of this envelope is highly sensitive to the detuning of the driving frequency from the resonance. Theoretical predictions for different domains of B2 and ωm were tested experimentally using NMR of protons in water, where, without modulation, the pattern of Rabi oscillations could be observed over many periods. We present experimental results which reproduce the three predicted modulation regimes, and agree with theory quantitatively.

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“…This level splitting is much smaller than the level splitting of the undressed electron spin ν e (= ν L ), which allows reaching the strong driving regime with moderate microwave powers 25,26 . Furthermore, the dressed qubit can be driven using frequency modulation (FM) of the MW source 23 , which does not add any heating to that of the MW power used for dressing.…”

mentioning

confidence: 99%

“…We observe clear deviations from normal Rabi oscillations and we numerically simulate the time evolution of the states in excellent agreement with the experimental data. The ease with which we can reach this regime and the level of control that we have over the driving fields, make the dressed electron spin a model system for investigating the strong driving regime, where the RWA breaks down and Bloch-Siegert shifts become important 25,27,28 . The development of deterministic quantum control beyond the RWA can have a significant advantage for quantum computation by allowing much faster gate operations to be performed 26,29,30 .…”

mentioning

confidence: 99%

Breaking the rotating wave approximation for a strongly driven dressed single-electron spin

et al. 2016

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We investigate the dynamics of a strongly-driven, microwave-dressed, donor-bound electron spin qubit in silicon. A resonant oscillating magnetic field B1 is used to dress the electron spin and create a new quantum system with a level splitting proportional to B1. The dressed two-level system can then be driven by modulating the detuning ∆ν between the microwave source frequency νMW and the electron spin transition frequency νe at the frequency of the level splitting. The resulting dressed qubit Rabi frequency ΩRρ is defined by the modulation amplitude, which can be made comparable to the level splitting using frequency modulation on the microwave source. This allows us to investigate the regime where the rotating wave approximation breaks down, without requiring microwave power levels that would be incompatible with a cryogenic environment. We observe clear deviations from normal Rabi oscillations and can numerically simulate the time evolution of the states in excellent agreement with the experimental data.

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Multiphoton transitions in a spin system driven by strong bichromatic field

Cited by 16 publications

References 7 publications

Multiphoton transitions in Josephson-junction qubits (Review Article)

Multiphoton transitions in Josephson-junction qubits (Review Article)

Magnetic resonance in slowly modulated longitudinal field: Modified shape of the Rabi oscillations

Breaking the rotating wave approximation for a strongly driven dressed single-electron spin

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