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Bulletin of the American Physical Society

Stern-Gerlach detection of neutral atom qubits in a state dependent optical lattice

Felipe Giraldo, Aishwarya Kumar, Tsung-Yao Wu, David S. Weiss

Published May 30, 2019• 0 citations
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Abstract Quantum sensors based on the superposition of neutral atoms are promising for sensing the nature of dark matter (DM). In this study, we utilize the Stern–Gerlach (SG) interferometer configuration to seek a novel method for the detection of axion-like particles (ALPs). Using an SG interferometer, we create a spatial quantum superposition of neutral atoms such as $$^{3}$$ 3 He and $$^{87}$$ 87 Rb. It is shown that the interaction of ALPs with this superposition induces a relative phase between superposed quantum components. We use the quantum Boltzmann equation (QBE) to introduce a first-principles analysis that describes the temporal evolution of the sensing system. The QBE approach employs quantum field theory (QFT) to highlight the role of the quantum nature of the interactions with the quantum systems. The resulting exclusion area demonstrates that our scheme allows for the exclusion of a range of ALP mass in the range $$10^{-10}\le m_{a}\le 10^{2}\,\textrm{eV}$$ 10 - 10 ≤ m a ≤ 10 2 eV and ALP-atom coupling constant in the range $$10^{-13}\le g_{ae}\le 10^{0}$$ 10 - 13 ≤ g ae ≤ 10 0 .

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Abstract The Zeeman hyperfine state dependent force in a Stern–Gerlach experiment has been exploited to separate and quantitatively detect atoms in different Zeeman hyperfine states in a cold atom cloud of 87 Rb atoms. Using this atomic state detection technique, the quantum state of the atom cloud has been prepared with high efficiency for magnetic trapping application.

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Abstract Quantum sensors based on the superposition of neutral atoms are promising for sensing the nature of dark matter (DM). In this study, we utilize the Stern–Gerlach (SG) interferometer configuration to seek a novel method for the detection of axion-like particles (ALPs). Using an SG interferometer, we create a spatial quantum superposition of neutral atoms such as 3^{3}3 3 He and 87^{87}87 87 Rb. It is shown that the interaction of ALPs with this superposition induces a relative phase between superposed quantum components. We use the quantum Boltzmann equation (QBE) to introduce a first-principles analysis that describes the temporal evolution of the sensing system. The QBE approach employs quantum field theory (QFT) to highlight the role of the quantum nature of the interactions with the quantum systems. The resulting exclusion area demonstrates that our scheme allows for the exclusion of a range of ALP mass in the range 10−10≤ma≤102 eV10^{-10}\le m_{a}\le 10^{2}\,\textrm{eV}10−10≤ma​≤102eV 10 - 10 ≤ m a ≤ 10 2 eV and ALP-atom coupling constant in the range 10−13≤gae≤10010^{-13}\le g_{ae}\le 10^{0}10−13≤gae​≤100 10 - 13 ≤ g ae ≤ 10 0 .
A successful transverse Stern–Gerlach experiment has been performed, using a beam of neutral potassium atoms and an inhomogeneous time-dependent magnetic field of the form[Formula: see text]A classical analysis of the Stern–Gerlach experiment is given for a rotating inhomogeneous magnetic field. In general, when space quantization is achieved, the spins are quantized along the effective magnetic field in the reference frame rotating with angular velocity ω about the z axis. For ω = 0, the direction of quantization is the z axis (conventional Stern–Gerlach experiment), while at resonance (ω = −γH 0 ) the direction of quantization is the x axis in the rotating reference frame (transverse Stern–Gerlach experiment). The experiment, which was performed at 7.2 Mc, is described in detail.