We implement arbitrary maps between pure states in the 16-dimensional Hilbert space associated with the ground electronic manifold of ^{133}Cs. This is accomplished by driving atoms with phase modulated radio-frequency and microwave fields, using modulation waveforms found via numerical optimization and designed to work robustly in the presence of imperfections. We evaluate the performance of a sample of randomly chosen state maps by randomized benchmarking, obtaining an average fidelity >99%. Our protocol advances state-of-the-art quantum control and has immediate applications in quantum metrology and tomography.We implement arbitrary maps between pure states in the 16-dimensional Hilbert space associated with the ground electronic manifold of ^{133}Cs. This is accomplished by driving atoms with phase modulated radio-frequency and microwave fields, using modulation waveforms found via numerical optimization and designed to work robustly in the presence of imperfections. We evaluate the performance of a sample of randomly chosen state maps by randomized benchmarking, obtaining an average fidelity >99%. Our protocol advances state-of-the-art quantum control and has immediate applications in quantum metrology and tomography.

arXiv:1308.4731Physical Review LettersOct 24, 201362 citations

High resolution photoassociation spectroscopy of the excited $c^3Σ_{1}^+$ potential of $^{23}$ Na $^{133}$ CsHigh resolution photoassociation spectroscopy of the excited $c^3Σ_{1}^+$ potential of $^{23}$Na$^{133}$Cs

Lewis R. B. Picard, Jessie T. Zhang, William B. Cairncross +8 more

We report on photoassociation spectroscopy probing the $c^3Σ_{1}^+$ potential of the bi-alkali NaCs molecule, identifying eleven vibrational lines between $v' = 0$ and $v' = 25$ of the excited $c^3Σ_{1}^+$ potential, and resolving their rotational and hyperfine structure. The observed lines are assigned by fitting to an effective Hamiltonian model of the excited state structure with rotational and hyperfine constants as free parameters. We discuss unexpected broadening of select vibrational lines, and its possible link to strong spin-orbit coupling of the $c^3Σ_{1}^+$ potential with the nearby $b^3Π_1$ and $B^1Π_1$ manifolds. Finally we report use of the $v' = 22$ line as an intermediate state for two-photon transfer of weakly bound Feshbach molecules to the rovibrational ground state of the $X^1Σ^+$ manifold.We report on photoassociation spectroscopy probing the $c^3Σ_{1}^+$ potential of the bi-alkali NaCs molecule, identifying eleven vibrational lines between $v' = 0$ and $v' = 25$ of the excited $c^3Σ_{1}^+$ potential, and resolving their rotational and hyperfine structure. The observed lines are assigned by fitting to an effective Hamiltonian model of the excited state structure with rotational and hyperfine constants as free parameters. We discuss unexpected broadening of select vibrational lines, and its possible link to strong spin-orbit coupling of the $c^3Σ_{1}^+$ potential with the nearby $b^3Π_1$ and $B^1Π_1$ manifolds. Finally we report use of the $v' = 22$ line as an intermediate state for two-photon transfer of weakly bound Feshbach molecules to the rovibrational ground state of the $X^1Σ^+$ manifold.

arXiv:2302.09113Feb 17, 20230 citations

Characterizing light shift of an open optical Zeeman transition with a single cesium atom in an optical tweezer

Qing Fan, Pengfei Yang, Da Xu +6 more

Characterizing the trap-light-induced frequency shifts of optical Zeeman transitions is essential for the precise control of the interacting dynamics between optically trapped single atoms and external light fields. The closed hyperfine transition, for example, 6 S 1/2 | F = 4〉 → 6 P 3/2 | F ′ = 5〉 of the cesium (Cs) atom, is commonly used because of its high transition strength. However, within this hyperfine transition line, different Zeeman transitions experience distinct light shifts due to diverse susceptibilities to the light field, which are usually sorted as dynamic scalar, vector, and tensor polarizabilities. Here, we report an efficient method for measuring the light shifts of optical Zeeman transitions using single neutral atoms confined in an optical tweezer (OT). The method employs a weak probe beam together with an auxiliary optical pumping beam to manipulate the atomic population in ground states. In this way, population changes in a specific Zeeman state are mapped onto a different ground-state hyperfine manifold, allowing the optical spectrum of the Zeeman transition to be reconstructed through standard state-detection techniques. By using the method, we demonstrate the spectrum measurement of the open Zeeman transition 6 S 1/2 | F = 4, m F = 4〉 → 6 P 3/2 | F ′ = 5, m F ′ = 3〉 for a single Cs atom trapped in a π polarized OT. We further perform a systematic characterization of the tweezer-induced light shifts for both this open transition and the closed Zeeman transition 6 S 1/2 | F = 4, m F = 4〉 → 6 P 3/2 | F ′ = 5, m F ′ = 5〉 over a wide range of trap depths. The influence of the tensor polarizability in deep trap depths is experimentally observed.Characterizing the trap-light-induced frequency shifts of optical Zeeman transitions is essential for the precise control of the interacting dynamics between optically trapped single atoms and external light fields. The closed hyperfine transition, for example, 6 S 1/2 | F = 4〉 → 6 P 3/2 | F ′ = 5〉 of the cesium (Cs) atom, is commonly used because of its high transition strength. However, within this hyperfine transition line, different Zeeman transitions experience distinct light shifts due to diverse susceptibilities to the light field, which are usually sorted as dynamic scalar, vector, and tensor polarizabilities. Here, we report an efficient method for measuring the light shifts of optical Zeeman transitions using single neutral atoms confined in an optical tweezer (OT). The method employs a weak probe beam together with an auxiliary optical pumping beam to manipulate the atomic population in ground states. In this way, population changes in a specific Zeeman state are mapped onto a different ground-state hyperfine manifold, allowing the optical spectrum of the Zeeman transition to be reconstructed through standard state-detection techniques. By using the method, we demonstrate the spectrum measurement of the open Zeeman transition 6 S 1/2 | F = 4, m F = 4〉 → 6 P 3/2 | F ′ = 5, m F ′ = 3〉 for a single Cs atom trapped in a π polarized OT. We further perform a systematic characterization of the tweezer-induced light shifts for both this open transition and the closed Zeeman transition 6 S 1/2 | F = 4, m F = 4〉 → 6 P 3/2 | F ′ = 5, m F ′ = 5〉 over a wide range of trap depths. The influence of the tensor polarizability in deep trap depths is experimentally observed.

Optics ExpressDec 10, 20251 citation

Quantum ground states: Manipulation and approximation

M. Stewart Siu

Jan 1, 20070 citations

High resolution photoassociation spectroscopy of the excited

c^3Σ_{1}^+

potential of

^{23}

^{133}

We report on photoassociation spectroscopy probing the

c^3Σ_{1}^+

potential of the bi-alkali NaCs molecule, identifying eleven vibrational lines between

v' = 0

and

v' = 25

of the excited

c^3Σ_{1}^+

potential, and resolving their rotational and hyperfine structure. The observed lines are assigned by fitting to an effective Hamiltonian model of the excited state structure with rotational and hyperfine constants as free parameters. We discuss unexpected broadening of select vibrational lines, and its possible link to strong spin-orbit coupling of the

c^3Σ_{1}^+

potential with the nearby

b^3Π_1

and

B^1Π_1

manifolds. Finally we report use of the

v' = 22

line as an intermediate state for two-photon transfer of weakly bound Feshbach molecules to the rovibrational ground state of the

X^1Σ^+

manifold.