2016
DOI: 10.1007/s00340-016-6407-y
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Comparison of Gaussian and super Gaussian laser beams for addressing atomic qubits

Abstract: We study the fidelity of single qubit quantum gates performed with two-frequency laser fields that have a Gaussian or super Gaussian spatial mode. Numerical simulations are used to account for imperfections arising from atomic motion in an optical trap, spatially varying Stark shifts of the trapping and control beams, and transverse and axial misalignment of the control beams. Numerical results that account for the three dimensional distribution of control light show that a super Gaussian mode with intensity I… Show more

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Cited by 43 publications
(25 citation statements)
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“…The three-level EIT line shape [29] implicitly assumes that every atom within the probe field experiences the same control-beam electric field. In practice this can be achieved by using specially engineered diffractive optics [38] to create top-hat shaped beams of light. For simplicity we take the alternate approach of expanding the control beam to approximately double the size of the probe beam.…”
Section: Control Beam Intensity Distributionmentioning
confidence: 99%
“…The three-level EIT line shape [29] implicitly assumes that every atom within the probe field experiences the same control-beam electric field. In practice this can be achieved by using specially engineered diffractive optics [38] to create top-hat shaped beams of light. For simplicity we take the alternate approach of expanding the control beam to approximately double the size of the probe beam.…”
Section: Control Beam Intensity Distributionmentioning
confidence: 99%
“…Unfortunately composite pulses trade reduced sensitivity to noise against longer gate times and are therefore not as useful for Rydberg gates as for ground state operations. Optimized beam shaping can reduce sensitivity to pointing errors without invoking longer gate times [134].…”
Section: Experimental Issues For Rydberg Gatesmentioning
confidence: 99%
“…The spatial dependence of Rabi frequency has been studied in Ref. [98]. The positiondependent Rabi frequencies can be written as [56] where Ω 1 (t, 0) and Ω 2 (0) are the Rabi frequencies at trap center, L x|y,i = πω 2 x|y,i /λ i is the Rayleigh length.…”
Section: B Inhomogeneous Rabi Frequencymentioning
confidence: 99%