Site-Specific and Coherent Manipulation of Individual Qubits in a 1D Optical Lattice with a 532-nm Site Separation

Han, Hyok Sang; Lee, Hyun Gyung; Cho, D.

doi:10.1103/physrevlett.122.133201

Cited by 5 publications

(3 citation statements)

References 26 publications

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“…Appendix. Numerical evaluation of F(n; n ′ ) in equation (6) We are interested in evaluating an overlap integral of the energy eigenstates for two harmonic oscillators of the same mass m but with slightly different resonance frequencies f and ¢ f , for a given n. We rewrite equation (A. Numerical calculations show that Δn max is proportional to n, namely, Δn max ≈γn, and γ=0.03 when η=1.…”

Section: Experiments and Resultsmentioning

confidence: 99%

“…The ground hyperfine transition of alkali-metal atoms in an optical trap is one of the most extensively studied lines in cold atom physics. Long interrogation promises an extremely narrow linewidth for spectroscopic measurements [1][2][3], and with a pair of hyperfine states |f ñ 1 and |f ñ 2 constituting a qubit, the transition can be tailored to realize gate operations for quantum information processing (QIP) [4][5][6][7][8]. However, because the center-of-mass motion of an atom is confined by a trapping potential, the characteristics of the transition are modified through the potentials U 1 and U 2 corresponding to |f ñ 1 and |f ñ 2 , respectively.…”

Section: Introductionmentioning

confidence: 99%

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Ground-state hyperfine spectroscopy of ⁸⁷Rb atoms in a 1D optical lattice

Park

Seo

Cho

2019

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

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We report our theoretical and experimental study on how the motional states of an atom trapped in a 1D optical lattice modify its hyperfine transition. We calculate and measure the inhomogeneously broadened line shape of a transition from the state to the state of 87Rb atoms in a lattice with various elliptic polarizations, and find excellent agreement. The atoms are at a temperature below 10 μK, and the well depth at an antinode is 100 μK. For the line shape calculation, we develop an efficient formula that allows us to evaluate the Franck–Condon factor from the 3D motional states accurately with a motional quantum number of as high as 1600. Precise spectroscopic measurements are conducted using evaporatively cooled atoms in a 980 nm lattice formed by a Fabry–Perot cavity placed inside a two-layer magnetic shield. Our results show how the broadening and decoherence of a ground hyperfine transition are related with the motional states. Inversely, our results can be applied to develop schemes to manipulate the motional states by using an inhomogeneously broadened hyperfine transition. As an example, we discuss the radio-frequency induced evaporative cooling in an optical lattice with a fixed well depth.

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Section: Experiments and Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Ground-state hyperfine spectroscopy of ⁸⁷Rb atoms in a 1D optical lattice

Park

Seo

Cho

2019

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

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“…η magic satisfies the magic-polarization condition in Eq. ( 23) when g The narrow linewidth allowed us to address individual Li atoms in a 1D optical lattice with a site-specific resolution, and the long coherence time allowed us to coherently manipulate individual atoms independently of neighboring ones [27]. Figure 6 shows Rabi signal from single atoms at three adjacent sites versus rf frequency while a magnetic field gradient along the lattice introduces differential Zeeman shift ∆f Zeeman of 180 Hz between neighboring sites.…”

Section: Magic Polarizationmentioning

confidence: 99%

A Study on the Interaction of Apartment Price and Transaction Volumein Seoul

Cho¹,

Kim²

2020

Korea Real Estate Academy

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We review a few ideas and experiments that our laboratory at Korea University has proposed and carried out to use vector polarizability β to manipulate alkali-metal atoms. β comes from spin-orbit coupling, and it produces an ac Stark shift that resembles a Zeeman shift. When a circularly polarized laser field is properly detuned between the D 1 and D 2 transitions, an ac Stark shift of a ground-state atom takes the form of a pure Zeeman shift. We call it the "analogous Zeeman effect", and experimentally demonstrated an optical Stern-Gerlach effect and an optical trap that behaves exactly like a magnetic trap. By tuning polarization of a trapping beam, and thereby controlling a shift proportional to β, we demonstrated elimination of an inhomogeneous broadening of a ground hyperfine transition in an optical trap. We call it "magic polarization".We also showed significant narrowing of a Raman sideband transition at a specific well depth. A Raman sideband in an optical trap is broadened owing to anharmonicity of the trap potential, and the broadening can be eliminated by a β-induced differential ac Stark shift at what we call a "magic well depth". Finally, we proposed and experimentally demonstrated a cooling scheme that incorporated the idea of velocity-selective coherent population trapping to Raman sideband cooling to enhance cooling efficiency of the latter outside of the Lamb-Dicke regime. We call it "motionselective coherent population trapping", and β is responsible for the selectivity. We include as Supplementary Material a program file that calculates both scalar and vector polarizabilities of a given alkali-metal atom when the wavelength of an applied field is specified. It also calculates depth of a potential well and photon-scattering rate of a trapped atom in a specific ground state when power, minimum spot size, and polarization of a trap beam are given.

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