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APPC12 B3-PWe-6 The 12th Asia Pacific Physics Conference Evaluation of atom-environment interaction based on decoherence of sodium atom interferometry Keisuke Nakamura and Atsuo Morinaga Faculty of Science and Technology, Tokyo University of Science, 2641 Yamazaki, Noda-shi, Chiba 278-8510, Japan [email protected] Recently, it has been discussed whether one can access the spacetime fluctuation which comes from quantum gravity through measurement of the decoherence π of atom interferometer (AI). Mang and co-authors derived the following equation π = 1β3π3 (πβππ )2 (πβππ ) where π is a cutoff parameter which defines a scale β = ππΏπ (πΏπ is Plank length) that the spacetime fluctuation reaches [1-2]. As an example, they estimated π β₯ 1890 using the π of the cesium AI experiment [3]. Of course, the decoherence must be affected due to other atom-environment interactions. Therefore, it is necessary to remove them in order to evaluate π accurately. We examined several sources of decoherence using the cold sodium AI (Fig. 1). As a result, we found that main source is a non-uniform magnetic field, and the theoretical curve (solid curve) based on the width of Rabi spectrum was in good agreement with the experimental values (Fig. 2). [1] C. H-T. Wang, et al., Class. Quantum Grav. 23, L59βL65 (2006), [2] P. M. Bonifacio, et al., Class. Quantum Grav. 26 (2009), [3] A. Peters, et al., Phil. Trans. R. 1.0 0.20 V (T )/V (1) Population probability Soc. Lond. A 355, 2223-2233 (1997) 0.15 0.10 0.05 0.00 -1.0 0.0 1.0 2.0 0.8 0.6 0.4 0.0 0 3.0 Experimental values Theoretical curve 0.2 2 4 6 8 10 12 T [ms] Detunig frequency [kHz] Fig. 1. Ramsey fringes of sodium AI. Fig. 2. Decoherence of sodium AI. Separetion time T=0.1ms.Visibility V=0.69. Decoherence π = 1 β π(π)/π(1). β 912 β
