2018
DOI: 10.1103/physreva.97.052322
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Subpicosecond X rotations of atomic clock states

Abstract: We demonstrate subpicosecond-time-scale population transfer between the pair of hyperfine ground states of atomic rubidium using a single laser-pulse. Our scheme utilizes the geometric and dynamic phases induced during Rabi oscillation through the fine-structure excited state in order to construct an X rotation gate for the hyperfine-state qubit system. Experiment performed with a femtosecond laser and cold rubidium atoms, in a magneto-optical trap, shows over 98% maximal population transfer between the clock … Show more

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Cited by 8 publications
(6 citation statements)
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“…1(b) shows the time evolution pathways of |∓ driven by respective polarization components. After the cyclic evolution by the two pulses, |∓ states get geometric phases ±θ − π , respectively, corresponding to − 1 2 of the solid angle enclosed by the evolution pathways [5], while the dynamic phase φ d is due to the intensity-and detuning-dependent eigenenergy [19] and dynamic Stark shift from neighboring transitions [20]. Thus we get |ψ (t f ) = α−β √ 2 e iφ − |− + α+β √ 2 e iφ + | +, in which φ ∓ = ±θ − π + φ d are the phases gained during the time evolution (see the Appendix for more details).…”
Section: Theoretical Considerationmentioning
confidence: 99%
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“…1(b) shows the time evolution pathways of |∓ driven by respective polarization components. After the cyclic evolution by the two pulses, |∓ states get geometric phases ±θ − π , respectively, corresponding to − 1 2 of the solid angle enclosed by the evolution pathways [5], while the dynamic phase φ d is due to the intensity-and detuning-dependent eigenenergy [19] and dynamic Stark shift from neighboring transitions [20]. Thus we get |ψ (t f ) = α−β √ 2 e iφ − |− + α+β √ 2 e iφ + | +, in which φ ∓ = ±θ − π + φ d are the phases gained during the time evolution (see the Appendix for more details).…”
Section: Theoretical Considerationmentioning
confidence: 99%
“…Qubit rotations about an arbitrary axisn = n xx + n yŷ can be implemented with an additional pair of time-delayed pulses. Since our scheme works in the regime where the hyperfine splitting is neglected, we adopt a method utilizing the hyperfine interaction in a longer timescale [20]. In the interaction picture where the qubit basis is |0 = |0 and |1 = e −iω hf t |1 , the Cartesian basis is given by |± = |0 ± e iω hf t |1 .…”
Section: Theoretical Considerationmentioning
confidence: 99%
“…This requires to operate on these systems orders of magnitude faster than the timescale set by the coupling to the environment. There is thus a continuous strive to better insulate qubits [1][2][3][4][5] and to design faster quantum operations [6][7][8][9]. Among the latter, a critical operation is the entanglement of two qubits, which requires a time lower-bounded by a speed limit t J = π/J set by a platform-dependent interaction strength J, e.g., proportional to a capacitance between two SC qubits [10].…”
Section: Introductionmentioning
confidence: 99%
“…rogress in the field of quantum simulation and computation is fuelled by efforts made on a variety of platforms (for example, superconducting (SC) qubits, quantum dots, trapped ions, neutral atoms and so on) to reach a critical fidelity of quantum operations. This requires operation on these systems to be orders of magnitude faster than the timescale set by the coupling to the environment; thus, there are continuous attempts to better insulate qubits [1][2][3][4][5] and design faster quantum operations [6][7][8][9] . Among the latter, a critical operation is the entanglement of two qubits, which requires a time lower-bounded by a speed limit t J = π/J, set by a platform-dependent interaction strength J, which is, for example, proportional to a capacitance between two superconducting qubits 10 .…”
mentioning
confidence: 99%