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

Glenn, Rachel; Limes, Mark; Pankovich, Brendan G.; Saam, B.; Raǐkh, M. É.

doi:10.1103/physrevb.87.155128

Cited by 20 publications

(25 citation statements)

References 42 publications

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“…The multiphoton transitions between the doubly dressed states in the coupled "qubit-bichromatic field" system have been observed in spectral and time-resolved experiments. Doubly dressed states of qubits have been studied in a wide range of physical objects, including, among others, electron and nuclear spins [10,11,13], quantum dots [14,15], superconducting qubits [16], and cold atoms [17]. The splitting of each peak of the initial Mollow triplet into three new ones has been demonstrated at the continuous-wave optical bichromatic excitation of two-level atoms [9].…”

Section: Introductionmentioning

confidence: 99%

Relaxation, decoherence, and steady-state population inversion in qubits doubly dressed by microwave and radiofrequency fields

Saǐko¹,

Fedaruk²,

Markevich³

2014

J. Phys. B: At. Mol. Opt. Phys.

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The coherent dynamics of relaxing spin qubits driven by a classical bichromatic field comprising a strong resonant component and a weaker component with a frequency close to the strong-field Rabi frequency is studied. The double dressing by the bichromatic field modifies dephasing and dissipation processes. We demonstrate that detuning of the weakerfield frequency from the strong-field Rabi frequency prolongs the decay of Rabi oscillations between some doubly dressed states. The sensitivity of Rabi oscillations to the modified detuning-dependent relaxation is illustrated for nitrogen-vacancy qubits in diamond. We discuss a steady-state population inversion of the doubly dressed-state levels.

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Section: Introductionmentioning

confidence: 99%

Relaxation, decoherence, and steady-state population inversion in qubits doubly dressed by microwave and radiofrequency fields

Saǐko¹,

Fedaruk²,

Markevich³

2014

J. Phys. B: At. Mol. Opt. Phys.

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“…Ref. 23, although identification of individual spectral lines requires very high sensitivity and selectivity which can be hard to achieve given the limits imposed on sampling frequency by the small nuclear gyromagnetic ratio. On the other hand, the two-photon absorption predicted above is proportional to the fourth power of the ratio B 1 /B 0 , and is generally very weak.…”

Section: Discussionmentioning

confidence: 99%

“…For example, modeling of the environment by a periodic modulation of the applied field, can also allow twophoton absorption to occur. 23 3. While we have used the language of a spin driven by an ac magnetic field, the results apply quite generally for any driven two-level system.…”

Section: Discussionmentioning

confidence: 99%

Two-photon absorption in a two-level system enabled by noise

Mkhitaryan¹,

Boehme²,

Lupton³

et al. 2019

Phys. Rev. B

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We address the textbook problem of dynamics of a spin placed in a dc magnetic field and subjected to an ac drive. If the drive is polarized in the plane perpendicular to the dc field, the drive photons are resonantly absorbed when the spacing between the Zeeman levels is close to the photon energy. This is the only resonance when the drive is circularly polarized. For linearly polarized drive, additional resonances corresponding to absorption of three, five, and multiple odd numbers of photons is possible. Interaction with the environment causes the broadening of the absorption lines. We demonstrate that the interaction with environment enables the forbidden two-photon absorption. We adopt a model of the environment in the form of random telegraph noise produced by a single fluctuator. As a result of the synchronous time fluctuations of different components of the random field, the shape of the two-photon absorption line is non-Lorentzian and depends dramatically on the drive amplitude. This shape is a monotonic curve at strong drive, while, at weak drive, it develops a two-peak structure reminiscent of an induced transparency on resonance.

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“…in the argument of cosine in (8). This oscillating contribution results to effective renormalization of the drive amplitude 22…”

Section: The Role Of Feedbackmentioning

confidence: 94%

Interaction-induced long-time tail of a nonlinear ac absorption in a localized system: A relay-race mechanism

Malla

Raǐkh

2019

Phys. Rev. B

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In conventional solid-state electron systems with localized states the ac absorption is linear since the inelastic widths of the energy levels exceeds the drive amplitude. The situation is different in the systems of cold atoms in which phonons are absent. Then even a weak drive leads to saturation of the ac absorption within resonant pairs, so that the population of levels oscillates with the Rabi frequency. We demonstrate that, in the presence of weak dipole-dipole interactions, the response of the system acquires a long-time component which oscillates with frequency much smaller than the Rabi frequency. The underlying mechanism of this long-time behavior is that the fields created in the course of the Rabi oscillations serve as resonant drive for the second-generation Rabi oscillations in pairs with level spacings close to the Rabi frequency. The frequency of the second-generation oscillations is of the order of interaction strength. As these oscillations develop, they can initiate the next-generation Rabi oscillations, and so on. Formation of the second-generation oscillations is facilitated by the non-diagonal component of the dipole-dipole interaction tensor. PACS numbers:arXiv:1812.06218v1 [cond-mat.dis-nn]

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

Cited by 20 publications

References 42 publications

Relaxation, decoherence, and steady-state population inversion in qubits doubly dressed by microwave and radiofrequency fields

Relaxation, decoherence, and steady-state population inversion in qubits doubly dressed by microwave and radiofrequency fields

Two-photon absorption in a two-level system enabled by noise

Interaction-induced long-time tail of a nonlinear ac absorption in a localized system: A relay-race mechanism

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