Stark Effect in Rapidly Varying Fields

Autler, S. H.; Townes, C. H.

doi:10.1103/physrev.100.703

Cited by 1,771 publications

(1,063 citation statements)

References 10 publications

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“…Solutions of Eq. (11), the structure of which is dictated by the Floquet theorem, were analyzed in a great number of papers starting from pioneering works 16,17 . Therefore, the approaches developed for a driven spin-1 2 system without modulation can be utilized for the case when the modulation is present.…”

Section: Mapping Onto a Strongly Driven System Without Modulationmentioning

confidence: 99%

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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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Section: Mapping Onto a Strongly Driven System Without Modulationmentioning

confidence: 99%

“…It is known 16,17 that almost sinusoidal Rabi oscillations can also be excited in the domains of parameters where the conditions (i) and (ii) are not met. One example 16 is the multiphoton Rabi oscillations which develop when the driving frequency is close to…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2013

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“…4 (right y-axis) since levels 2 and 3 become slightly populated during the interaction. The ac-Stark shift produced by a field of peak amplitude |E| resonant with the 1-4 transition on the 1-2 transition, which is far from resonance, is given by [51] ∆ω = µ 12 |E| 2 1…”

Section: Single π-Pulse Versus Multiphoton π-Pulse Schemesmentioning

confidence: 99%

Control of rubidium low-lying Rydberg states with trichromatic femtosecond π pulses for ultrafast quantum information processing

2017

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We propose an ultrafast femtosecond time scale trichromatic π-pulse illumination scheme for coherent excitation and manipulation of low-lying Rydberg states in rubidium. Selective population of nP 3/2 levels with principal quantum numbers n 12 using 75 fs laser pulses is achieved. The density-matrix equations of a four-level ladder system beyond the rotating-wave approximation have to be solved to clarify the balance between the principal quantum numbers, the duration of the laser pulses and the associated ac-Stark effects for the fastest optimal excitation. The mechanism is robust for femtosecond control using different level configurations for applications in ultrafast quantum information processing and spectroscopy.

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“…Since the structure of the photoelectrons is periodically reproduced every Bohr period (2.6 fs) [45] we show the limiting cases at 0T B , 0.25T B , 0.5T B and 0.75T B . In all cases, the photoelectron spectrum is split into the Autler-Townes (AT) doublet [46] due to the high intensity of the laser pulses. Although S271 The envelope of the laser field |E(t)| and the temporal optical phase χ(t), (b) the time evolution of the upper bare state population |c 4p (t)| 2 , (c) the population of the upper |d u (t)| 2 (bold) and lower |d l (t)| 2 (dashed) dressed states and (d) the energies of the upper ε u (t) (bold) and lower ε l (t) (dashed) dressed states.…”

Section: Pulse Sequence Experimentsmentioning

confidence: 99%

Strong field quantum control by selective population of dressed states

Wollenhaupt

Präkelt

Sarpe-Tudoran

et al. 2005

J. Opt. B: Quantum Semiclass. Opt.

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We study the dynamics of potassium atoms in intense laser fields using femtosecond phase-locked pulse pairs in order to extract physical mechanisms of strong field quantum control. The structure of the Autler-Townes (AT) doublet in the photoelectron spectra is measured to analyse transient processes. The analysis shows that the physical mechanism is based on the selective population of dressed states (SPODS). Experimental results of closed loop optimization of SPODS are presented in addition. Applications to decoherence measurements with implications for quantum information are also proposed.

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Stark Effect in Rapidly Varying Fields

Cited by 1,771 publications

References 10 publications

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

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

Control of rubidium low-lying Rydberg states with trichromatic femtosecond π pulses for ultrafast quantum information processing

Strong field quantum control by selective population of dressed states

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