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Data for Photon-recoil and laser-focusing limits to Rydberg gate fidelity

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DataCite Commons2025-12-18 更新2025-04-16 收录
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<p><span dir="ltr" role="presentation" style="left: 186.611px; top: 355.627px; font-size: 14.944px; font-family: serif; transform: scaleX(1.02458);">Limits to Rydberg </span><span dir="ltr" role="presentation" style="left: 186.611px; top: 355.627px; font-size: 14.944px; font-family: serif; transform: scaleX(1.02458);">gate fidelity that arise from the entanglement of internal states of neutral atoms with the </span><span dir="ltr" role="presentation" style="left: 171.671px; top: 374.722px; font-size: 14.944px; font-family: serif; transform: scaleX(1.00912);">motional degrees of freedom due to the momentum kick from photon absorption and re-emission is quantified. </span><span dir="ltr" role="presentation" style="left: 171.671px; top: 393.818px; font-size: 14.944px; font-family: serif; transform: scaleX(1.03584);">This occurs when the atom is in a superposition of internal states but only one of these states is manipulated </span><span dir="ltr" role="presentation" style="left: 171.671px; top: 412.913px; font-size: 14.944px; font-family: serif; transform: scaleX(1.00671);">by visible or UV photons. The Schrödinger equation that describes this situation is presented and two cases are </span><span dir="ltr" role="presentation" style="left: 171.671px; top: 432.008px; font-size: 14.944px; font-family: serif; transform: scaleX(1.00005);">explored. In the first case, the entanglement arises because the spatial wave function shifts due to the separation </span><span dir="ltr" role="presentation" style="left: 171.671px; top: 451.104px; font-size: 14.944px; font-family: serif; transform: scaleX(1.04939);">in time between excitation and stimulated emission. For neutral atoms in a harmonic trap, the decoherence </span><span dir="ltr" role="presentation" style="left: 171.671px; top: 470.199px; font-size: 14.944px; font-family: serif; transform: scaleX(1.05648);">can be expressed within a sudden approximation when the duration of the laser pulses are shorter than the </span><span dir="ltr" role="presentation" style="left: 171.671px; top: 489.295px; font-size: 14.944px; font-family: serif; transform: scaleX(1.01565);">harmonic oscillator period. In this limit, the decoherence is given by simple analytic formulas that account for </span><span dir="ltr" role="presentation" style="left: 171.671px; top: 508.39px; font-size: 14.944px; font-family: serif; transform: scaleX(0.995805);">the momentum of the photon, the temperature of the atoms, the harmonic oscillator frequency, and atomic mass. </span><span dir="ltr" role="presentation" style="left: 171.671px; top: 527.486px; font-size: 14.944px; font-family: serif; transform: scaleX(1.02222);">In the second case, there is a reduction in gate fidelity because the photons causing absorption and stimulated </span><span dir="ltr" role="presentation" style="left: 171.671px; top: 546.581px; font-size: 14.944px; font-family: serif; transform: scaleX(0.993809);">emission are in focused beam modes. This leads to a dependence of the optically induced changes in the internal </span><span dir="ltr" role="presentation" style="left: 171.671px; top: 565.677px; font-size: 14.944px; font-family: serif; transform: scaleX(0.992372);">states on the center of mass atomic position. In the limit where the time between pulses is short, the decoherence </span><span dir="ltr" role="presentation" style="left: 171.671px; top: 584.772px; font-size: 14.944px; font-family: serif; transform: scaleX(1.05499);">can be expressed as a simple analytic formula involving the laser waist, temperature of the atoms, the trap </span><span dir="ltr" role="presentation" style="left: 171.671px; top: 603.867px; font-size: 14.944px; font-family: serif; transform: scaleX(1.00304);">frequency, and the atomic mass. These limits on gate fidelity are studied for the standard</span><span dir="ltr" role="presentation" style="left: 702.563px; top: 603.867px; font-size: 14.944px; font-family: serif;"> </span><span dir="ltr" role="presentation" style="left: 706.454px; top: 603.739px; font-size: 14.944px; font-family: sans-serif;">π</span><span dir="ltr" role="presentation" style="left: 715.421px; top: 603.739px; font-size: 14.944px; font-family: sans-serif;"> </span><span dir="ltr" role="presentation" style="left: 716.924px; top: 603.867px; font-size: 14.944px; font-family: serif; transform: scaleX(0.998187);">-2</span><span dir="ltr" role="presentation" style="left: 729.435px; top: 603.739px; font-size: 14.944px; font-family: sans-serif;">π</span><span dir="ltr" role="presentation" style="left: 738.401px; top: 603.739px; font-size: 14.944px; font-family: sans-serif;"> </span><span dir="ltr" role="presentation" style="left: 739.905px; top: 603.867px; font-size: 14.944px; font-family: serif;">-</span><span dir="ltr" role="presentation" style="left: 744.886px; top: 603.739px; font-size: 14.944px; font-family: sans-serif;">π</span><span dir="ltr" role="presentation" style="left: 753.852px; top: 603.739px; font-size: 14.944px; font-family: sans-serif;"> </span><span dir="ltr" role="presentation" style="left: 759.256px; top: 603.867px; font-size: 14.944px; font-family: serif; transform: scaleX(1.00923);">Rydberg gate </span><span dir="ltr" role="presentation" style="left: 171.671px; top: 622.963px; font-size: 14.944px; font-family: serif; transform: scaleX(0.998645);">and a protocol based on a single adiabatic pulse with a Gaussian envelope.</span></p>
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Purdue University Research Repository
创建时间:
2021-08-23
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