Quantum Control in Multilevel Systems

Solá, Ignacio R.; Chang, Bong‐Soon; Malinovskaya, Svetlana; Malinovsky, Vladimir S.

doi:10.1016/bs.aamop.2018.02.003

Cited by 33 publications

(39 citation statements)

References 285 publications

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“…Ground State Microwave-Stimulated Raman Transitions and Adiabatic Spin Transfer in the 15 Nitrogen-Vacancy Center Florian Böhm, 1, 2, * Niko Nikolay, 1, 2 Sascha Neinert, 1,2 Christoph E. Nebel, 3 and Oliver Benson 1, 2…”

Section: Supplementary Informationmentioning

confidence: 99%

“…e simplest form of coherent control would be a two-level system (qubit) exposed to a weak resonant driving eld, which leads to coherent Rabi oscillations between the two states. Systems with multiple states can either be e ectively reduced to twolevel systems by resonant control of individual transitions, or multiple states can be involved simultaneously by resonant or non-resonant control elds for extended coherent control of the system [3]. Moreover, instead of directly using the bare electronic states as a qubit, quantum information can be encoded in dressed states, which are generated by continuous driving of the quantum system [4].…”

Section: Introductionmentioning

confidence: 99%

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Ground State Microwave-Stimulated Raman Transitions and Adiabatic Spin Transfer in the $^{15}$Nitrogen-Vacancy Center

Böhm,

Nikolay,

Neinert

et al. 2021

Preprint

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Microwave pulse sequences are the basis of coherent manipulation of the electronic spin ground state in nitrogen-vacancy (NV) centers. In this work we demonstrate stimulated Raman transitions (SRT) and stimulated Raman adiabatic passage (STIRAP), two ways to drive the dipole-forbidden transition between two spin sublevels in the electronic triplet ground state of the NV center. is is achieved by a multitone Raman microwave pulse which simultaneously drives two detuned transitions via a virtual level for SRT or via two adiabatic and partially overlapping resonant microwave pulses for STIRAP. We lay the theoretical framework of SRT and STIRAP dynamics and verify experimentally the theoretical predictions of population inversion by observing the dipole-forbidden transition in the ground state of a single NV center. A comparison of the two schemes showed a be er robustness and success of the spin swap for STIRAP as compared to SRT.

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Section: Supplementary Informationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Ground State Microwave-Stimulated Raman Transitions and Adiabatic Spin Transfer in the $^{15}$Nitrogen-Vacancy Center

Böhm,

Nikolay,

Neinert

et al. 2021

Preprint

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“…Owing to the hierarchy of masses and the consequent different scales of motion, for coupled degrees of freedom one often describes each slower motion based on the average potential created by the faster motion, reducing the dimensions of the problem. 1–5 In addition, it is customary to treat the nuclear (slower) motions using a classical or semiclassical approach. Such approximations do not allow one to describe the back-action of the slower motion on to the faster one, inducing decoherence, although the former effect can be approximately described by averaging over trajectories.…”

Section: Introductionmentioning

confidence: 99%

Circularly polarized light-induced potentials and the demise of excited states

Carrasco

Rogan

Valdivia

et al. 2022

Phys. Chem. Chem. Phys.

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“…Stimulated Raman adiabatic passage (STIRAP) is a very efficient method for population transfer between two quantum states, say |1 and |3 , which are indirectly connected through a lossy state |2 [1][2][3][4][5][6][7]. This intermediate state is coupled to the initial and target states with the pump and Stokes laser pulses, respectively.…”

Section: Introductionmentioning

confidence: 99%

Optimal shape of STIRAP pulses for large dissipation at the intermediate level

Stefanatos

Paspalakis

2021

Quantum Inf Process

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We study the problem of maximizing population transfer efficiency in the STIRAP system for the case where the dissipation rate of the intermediate state is much higher than the maximum amplitude of the control fields. Under this assumption, the original three-level system can be reduced to a couple of equations involving the initial and target states only. We find the control fields which maximize the population transfer to the target state for a given duration T , without using any penalty involving the population of the lossy intermediate state, but under the constraint that the sum of the intensities of the pump and Stokes pulses is constant, so the total field has constant amplitude and the only control parameter is the mixing angle of the two fields. In the optimal solution the mixing angle changes in the bang-singular-bang manner, where the initial and final bangs correspond to equal instantaneous rotations, while the intermediate singular arc to a linear change with time. We show that the optimal angle of the initial and final rotations is the unique solution of a transcendental equation where duration T appears as a parameter, while the optimal slope of the intermediate linear change as well as the optimal transfer efficiency is expressed as functions of this optimal angle. The corresponding optimal solution recovers the counterintuitive pulse-sequence, with nonzero pump and Stokes fields at the boundaries. We also show with numerical simulations that transfer efficiency values close to the optimal derived using the approximate system can also be obtained with the original STIRAP system using dissipation rates comparable to the maximum control amplitude.

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Quantum Control in Multilevel Systems

Cited by 33 publications

References 285 publications

Ground State Microwave-Stimulated Raman Transitions and Adiabatic Spin Transfer in the $^{15}$Nitrogen-Vacancy Center

Ground State Microwave-Stimulated Raman Transitions and Adiabatic Spin Transfer in the $^{15}$Nitrogen-Vacancy Center

Circularly polarized light-induced potentials and the demise of excited states

Optimal shape of STIRAP pulses for large dissipation at the intermediate level

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