Mach-Zehnder interferometry with interacting trapped Bose-Einstein condensates

Year: 2011

Authors: Grond J., Hohenester U., Schmiedmayer J., Smerzi A.

Autors Affiliation: Institut fur Physik, Karl–Franzens–Universitat Graz, 8010 Graz, Austria;
Wolfgang Pauli Institut c/o Fakultat fur Mathematik, Universitat Wien, 1090 Vienna, Austria;
Vienna Center for Quantum Science and Technology, Atominstitut, Technische Universitat Wien, 1020 Vienna, Austria;
Theoretische Chemie, Physikalisch–Chemisches Institut, Universitat Heidelberg, 69120 Heidelberg, Germany;
CNR – Istituto Nazionale di Ottica, BEC Center and Dipartimento di Fisica, Università di Trento, 38123 Povo, Italy

Abstract: We theoretically analyze a Mach-Zehnder interferometer with trapped condensates and find that it is surprisingly stable against the nonlinearity induced by interparticle interactions. The phase sensitivity, which we study for number-squeezed input states, can overcome the shot noise limit and be increased up to the Heisenberg limit provided that a Bayesian or maximum-likelihood phase estimation strategy is used. We finally demonstrate the robustness of the Mach-Zehnder interferometer in the presence of interactions against condensate oscillations and a realistic atom-counting error.

Journal/Review: PHYSICAL REVIEW A

Volume: 84 (2)      Pages from: 23619-1  to: 23619-4

More Information: We thank F. Piazza, J. Chwedenezuk, T. Schumm, and S. Whitlock for most helpful discussions. J. G. is thankful for the great hospitality experienced during his visits in Trento and acknowledges support from the Alexander von Humboldt Foundation. This work has been supported in part by NAWI GASS, the FWF, and the ESF Euroscores program: EuroQuaser project QuDeGPM.
KeyWords: Phase; Entanglement
DOI: 10.1103/PhysRevA.84.023619

Citations: 29
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