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Quantum-limited metrology in the presence of collisional dephasing
Ist Teil von
Physical review. A, Atomic, molecular, and optical physics, 2010-10, Vol.82 (4), Article 045601
Ort / Verlag
United States
Erscheinungsjahr
2010
Quelle
American Physical Society Journals
Beschreibungen/Notizen
Including collisional decoherence explicitly, phase sensitivity for estimating effective scattering strength {chi} of a two-component Bose-Einstein condensate is derived analytically. With a measurement of spin operator J{sub x}, we find that the optimal sensitivity depends on initial coherent spin state. It degrades by a factor of (2{gamma}){sup 1/3} below super-Heisenberg limit {proportional_to}1/N{sup 3/2} for particle number N and the dephasing rate 1<<{gamma}<N{sup 3/4}. With a J{sub y} measurement, our analytical results confirm that the phase {phi}={chi}t{approx}0 can be detected at the limit even in the presence of the dephasing.