Calculation of radial matrix elements and radiative lifetimes for highly excited states of alkali atoms using the Coulomb approximation

We propose a two-qubit gate for neutral atoms in which one of the logical state components adiabatically follows a two-atom dark state formed by the laser coupling to a Rydberg state and a strong, resonant dipole-dipole exchange interaction between two Rydberg excited atoms. Our gate exhibits optimal scaling of the intrinsic error probability E ∝ (Bτ ) −1 with the interatomic interaction strength B and the Rydberg state lifetime τ . Moreover, the gate is resilient to variations in the interaction strength, and even for finite probability of double Rydberg excitation, the gate does not excite atomic motion and experiences no decoherence due to internal-translational entanglement.

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“…. Rydberg states of the alkali atoms is given by τ = 1/Γ ≈ 10 −9 n 3 sec [36][37][38]. The strongest interaction is achieved…”

Section: Resultsmentioning

confidence: 99%

High-fidelity Rydberg quantum gate via a two-atom dark state

et al. 2017

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“…In Table I(a) the measured lifetime and the relevant theoretical values of Gounand [9] and Theodosiou [8] are gathered. Theodosiou has given lifetimes for …”

Section: Data Analysis and Resultsmentioning

confidence: 99%

“…In these calculations the effects due to core polarizability, spin-orbit interaction and blackbody radiation were treated. The lifetime for Rb (14 2D), the state of interest to the present work, had been also earlier calculated, within Coulomb approximation method, by Gounand [9]. Experimentally determined cross sections for depopulation of Rb(n 2D3) states induced by collisions with ground-state Rb atoms are available for n ranging from 5 to 15, with an exception of n = 14 [7,[10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 98%

Lifetime and Collisional Depopulation Cross Section for the 14²D_3/2State of Rb

et al. 1994

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The lifetime r and the cross section a for depopulation induced by collisions with ground-state Rb atoms were measured for the 14 2D3 / 2 state of Rb. The experiment was performed in the gas-cell conditions in a range of Rb vapour temperatures in the vicinity of 340 K. The lifetime value r = 1970(130) ns, agrees with the theoretical prediction with allowance for the influence of blackbody radiation as well as of the effects due to core polarizability and spin-orbit interaction. The measured cross section Q = 6.5(3.1) x 10 -12 cm2 is close to the geometrical cross section. This agrees with similar observations made by other authors for the case of the lower n 2D states of Rb.

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“…The graphs also show theoretical predictions based on (1), (5), (2), and (3), using parameter values reported in a number of different papers. All the models use the BBR rates of Beterov et al (equation (14) in [6]); the solid red line (--) uses values for τ s and ǫ from Beterov et al in (2); the purple dashed (---) line uses Gounand's values for τ s and ǫ [3]; the blue dashdot-dash (-· -) line uses the values of He et al for a 0 ....a 3 in (3) [5]. The predictions using the values of He et al for τ s and ǫ in (2) are essentially indistinguishable from those found using their values for a 0 ....a 3 in (3), except for the nd 5/2 curve, which is shown as a green dotted (· · · · · ·) line.…”

Section: Resultsmentioning

confidence: 99%

Radiative lifetime measurements of rubidium Rydberg states

Branden¹,

Juhász²,

Mahlokozera³

et al. 2009

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

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Abstract. We have measured the radiative lifetimes of ns, np and nd Rydberg states of rubidium in the range 28 ≤ n ≤ 45. To enable long-lived states to be measured, our experiment uses slow-moving (∼100 µK) 85 Rb atoms in a magnetooptical trap (MOT). Two experimental techniques have been adopted to reduce random and systematic errors. First, a narrow-bandwidth pulsed laser is used to excite the target nℓ Rydberg state, resulting in minimal shot-to-shot variation in the initial state population. Second, we monitor the target state population as a function of time delay from the laser pulse using a short-duration, millimetre-wave pulse that is resonant with a one-or two-photon transition to a higher energy "monitor state", n ′ ℓ ′ . We then selectively field ionize the monitor state, and detect the resulting electrons with a micro-channel plate. This signal is an accurate mirror of the nℓ target state population, and is uncontaminated by contributions from other states which are populated by black body radiation. Our results are generally consistent with other recent experimental results obtained using a method which is more prone to systematic error, and are also in excellent agreement with theory.

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Calculation of radial matrix elements and radiative lifetimes for highly excited states of alkali atoms using the Coulomb approximation

Cited by 87 publications

References 25 publications

High-fidelity Rydberg quantum gate via a two-atom dark state

High-fidelity Rydberg quantum gate via a two-atom dark state

Lifetime and Collisional Depopulation Cross Section for the 14²D_3/2State of Rb

Radiative lifetime measurements of rubidium Rydberg states

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Calculation of radial matrix elements and radiative lifetimes for highly excited states of alkali atoms using the Coulomb approximation

Cited by 87 publications

References 25 publications

High-fidelity Rydberg quantum gate via a two-atom dark state

High-fidelity Rydberg quantum gate via a two-atom dark state

Lifetime and Collisional Depopulation Cross Section for the 142D3/2State of Rb

Radiative lifetime measurements of rubidium Rydberg states

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Lifetime and Collisional Depopulation Cross Section for the 14²D_3/2State of Rb