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

Laucht, Arne; Simmons, Stephanie; Kalra, Rachpon; Tosi, Guilherme; Dehollain, Juan Pablo; Muhonen, Juha T.; Freer, Solomon; Hudson, Fay E.; Itoh, Kohei M.; Jamieson, David N.; McCallum, Jeffrey C.; Dzurak, A. S.; Morello, Andrea

doi:10.1103/physrevb.94.161302

Cited by 42 publications

(37 citation statements)

References 41 publications

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“…For an analysis on the deviation from sinusoidal Rabi oscillations by studying the time-evolution dynamics of a strongly driven dressed electron spin in silicon, we refer to Ref. [15]. Furthermore, for an explicit manifestation of strong sensitivity to the initial phase of the driving field in the dynamics of a general semi-classical Rabi model in regimes of arbitrary strong driving, we refer to Ref.…”

Section: Introductionmentioning

confidence: 99%

Information Geometric Perspective on Off-Resonance Effects in Driven Two-Level Quantum Systems

2020

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We present an information geometric analysis of off-resonance effects on classes of exactly solvable generalized semi-classical Rabi systems. Specifically, we consider population transfer performed by four distinct off-resonant driving schemes specified by su (2; C) time-dependent Hamiltonian models. For each scheme, we study the consequences of a departure from the on-resonance condition in terms of both geodesic paths and geodesic speeds on the corresponding manifold of transition probability vectors. In particular, we analyze the robustness of each driving scheme against off-resonance effects. Moreover, we report on a possible tradeoff between speed and robustness in the driving schemes being investigated. Finally, we discuss the emergence of a different relative ranking in terms of performance among the various driving schemes when transitioning from on-resonant to off-resonant scenarios.

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Section: Introductionmentioning

confidence: 99%

Information Geometric Perspective on Off-Resonance Effects in Driven Two-Level Quantum Systems

2020

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“…Consequently, for strong driving fields, when the shift becomes comparable with the eigenfrequency of the system (the Larmor frequency in our case), significant departures from RWA hinder coherent control of the qubits because of complex, nonharmonic Rabi oscillations. Recent work with superconducting circuits [10,11] and nitrogen-vacancy centers in diamonds [13,14] demonstrate that this difficulty can be successfully alleviated. The BSS appears important also for experiments with cold atoms in dressed and adiabatic potentials [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Limitations of rotating-wave approximation in magnetic resonance: characterization and elimination of the Bloch–Siegert shift in magneto-optics

2019

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We present investigations of radio-frequency (RF) resonances observed in an optically pumped rubidium vapor. By measuring the systematic shifts (the Bloch-Siegert shifts) of RF resonances in low magnetic fields, we demonstrate limitations of the rotating-wave approximation in the case of angular momentum F1. The resonance shifts and deformations are characterized in a wide range of parameters and it is shown that the observed behavior is far more complex than in a standard twolevel system. It is also demonstrated that the shifts can be controllably turned on or off by switching between the oscillating and rotating magnetic field. Experimental results are supported with numerical calculations, reproducing all features of the observed signals. Besides fundamental aspect of the research, application of rotating magnetic field helps to suppress/evaluate spectroscopicmeasurement and precise-metrology systematic errors. The reported study has also important implications for quantum metrology and information processing beyond RWA and standard twostate qubit dynamics. Figure 3. Numerical (left) and measured (right) NMOR signals for oscillating (black squares) and rotating magnetic fields (red or grey dots) along with fitted Majorana reversal NMOR functions (dashed and solid lines, respectively)(equations (11)) for three different AC magnetic field strengths indicated in right bottom corner of each graph. The static magnetic field B 0 was set in such a way that Ω 0 /(2π)=23 Hz. Residual magnetic fields are responsible for appearance of weak resonances at ω r /2 and 2ω r observed in the experimental data for high Ω RF . Statistical error bars are smaller than the graph marker. 7 Typically uncompensated field is of order of 10 μG (10 −9 T). 6 New J. Phys. 21 (2019) 023024 J I Sudyka et al

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“…In this regime, the system's dynamics are highly anharmonic and nonlinear, but not chaotic [8,9]. Recently, the strong-driving regime has been of particular interest to quantum information processing because of the ultra-fast quantum gates possible in this regime [10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of a two-level system of a single spin driven beyond the rotating-wave approximation

Rao

Suter

2017

Phys. Rev. A

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Quantum systems driven by strong oscillating fields are the source of many interesting physical phenomena. In this work, we experimentally study the dynamics of a two-level system of a single spin driven in the strong-driving regime where the rotating-wave approximation is not valid. This two-level system is a subsystem of a single Nitrogen-Vacancy center in diamond coupled to a firstshell 13 C nuclear spin at a level anti-crossing point. This near-degeneracy occurs in the ms = ±1 manifold of the electron spin when the energy level splitting between the ms = −1 and +1 states due to the static magnetic field is ≈ 127 MHz and thus equal to the splitting due to the 13 C hyperfine interaction. The transition frequency of this electron spin two-level system in a static magnetic field of 28.9 G is 1.7 MHz and it can be driven only by the component of the RF field along the NV symmetry axis. Electron spin Rabi frequencies in this system can reach tens of MHz even for moderate RF powers. The simple sinusoidal Rabi oscillations that occur when the amplitude of the driving field is small compared to the transition frequency evolve into complex patterns when the driving field amplitude is comparable to or greater than the energy level splitting. We observe that the system oscillates faster than the amplitude of the driving field and the response of the system shows multiple frequencies.

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

Cited by 42 publications

References 41 publications

Information Geometric Perspective on Off-Resonance Effects in Driven Two-Level Quantum Systems

Information Geometric Perspective on Off-Resonance Effects in Driven Two-Level Quantum Systems

Limitations of rotating-wave approximation in magnetic resonance: characterization and elimination of the Bloch–Siegert shift in magneto-optics

Nonlinear dynamics of a two-level system of a single spin driven beyond the rotating-wave approximation

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