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Bayram, Servet; Havey, M. D.; Roşu, Mihaela; Sieradzan, A.; Derevianko, Andrei; Johnson, W. R.

doi:10.1103/physreva.61.050502

Cited by 16 publications

(18 citation statements)

References 20 publications

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“…[14] extracts the transition matrix element | 5D 5/2 ||r||6P 3/2 | of Cs. The case of a multi-channel decay sometimes requires a combination of various experimental approaches to extract the transition matrix elements [1], including the measurement of static scalar polarizability [15], and nonresonant two-photon, two-color linear depolarization spectrum [16].…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Lifetime measurements of the5dstates of rubidium

2008

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We present lifetime measurements of the 5D 3/2 and 5D 5/2 states of rubidium using the time correlated single photon counting method. We perform the experiment in a magneto-optical trap of 87 Rb atoms using a two-step excitation with the trap laser at 780 nm as the first step. We record the 761.9 nm fluorescence from the decay of the 5D 3/2 state to the 5P 1/2 state, and measure the lifetime of the 5D 3/2 state τ = 246.3(1.6) ns. We record the 420.2 nm fluorescence from the cascade decay of the 5D 5/2 state to the 5S 1/2 state through the 6P 3/2 state, and extract the lifetime of the 5D 5/2 state τ = 238.5(2.3) ns.

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Section: Theoretical Backgroundmentioning

confidence: 99%

Lifetime measurements of the5dstates of rubidium

2008

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“…where the energy of state |1 is set to zero, levels |4 and |5 are degenerate, ω tot = ω 1 + ω 3 = ω 2 + ω 4 = 0.1171, ω 1 = 0.05840, ω 2 = 0.05731, µ 12 = 4.2275, µ 13 = 2.9931, µ 24 = 1.0216, µ 25 = 1.0238, and µ 34 = 0.9 [25,26]. Unless otherwise noted, all the quantities in this paper are given in atomic units.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Quantum control and pathway manipulation in rubidium

et al. 2015

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There is an increasing interest in the extraction and control of the interfering quantum pathway amplitudes induced by control fields during laser-matter interactions. The Hamiltonian-encoding and observable-decoding (HE-OD) technique has been introduced for extracting the amplitudes of the pathways present in the dynamics and has recently been experimentally applied to the pathway manipulation of atomic Rubidium. This paper theoretically explores various strategies for manipulating pathway amplitudes in the context of a laser field interacting with a multilevel system similar to atomic Rubidium for both narrowband and broadband ultrafast fields. In the perturbation regime, two 2nd-order quantum pathways connecting the Rb states 5S 1/2 and 5D 3/2 dominate the dynamics, namely 5S 1/2 →5P 3/2 →5D 3/2 (pathway 1) and 5S 1/2 →5P 1/2 →5D 3/2 (pathway 2). For narrowband field control, the analysis is carried out in the time domain with the laser field including only four narrowband-envelope sub-pulses centered at the resonant frequencies. When the two pathways cooperate constructively, temporal oscillations appear in the ratio of the two pathway amplitudes, and we conclude in this case that the period corresponds to the detuning between transitions 5S 1/2 → 5P 3/2 and 5P 3/2 → 5D 3/2. For broadband field control, the dynamics are treated in the frequency domain with the laser field including both resonant and continuous non-resonant frequency components. Various control strategies based on manipulating the phase of selected spectral components are tested. Compared to the outcome from a transform limited pulse, a π 2 step scheme can increase the dynamic range of the ratio between the two pathway amplitudes by a factor of ∼ 3. A scheme that manipulates eight spectral blocks, in which the spectral boundaries depend on the resonant frequencies, can increase the ratio by several orders of magnitude. Numerical simulations show that further dividing the spectrum into hundreds of evenly spaced blocks does not significantly enhance the pathway ratio over the eight block scheme. The quantum control of pathways investigated in this work provides valuable insights on how to incorporate known information about the structure of quantum systems for the effective reduction of quantum control complexity.

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“…(4) The quadrupole (3) and dipole (4) interaction in the single-electron approximation is determined by the valence electron position vector and its spherical coordinates r = {r, 0, ço}.…”

Section: Cross Section Of the Coherent Frequency Mixing Of Two Resonamentioning

confidence: 99%