Analyzing spin states of a Bose-Einstein condensate with number-resolved counting

Carsten Klempt; Mareike Hetzel; Lucca Pezzè; Cebrail Pür; Martin Quensen; Andreas Hüper; Jens Kruse; Augusto Smerzi

doi:10.1117/12.2617229

9 March 2022 Analyzing spin states of a Bose-Einstein condensate with number-resolved counting

Carsten Klempt, Mareike Hetzel, Lucca Pezzè, Cebrail Pür, Martin Quensen, Andreas Hüper, Jens Kruse, Augusto Smerzi

Proceedings Volume PC12016, Optical and Quantum Sensing and Precision Metrology II; PC120161W (2022) https://doi.org/10.1117/12.2617229
Event: SPIE OPTO, 2022, San Francisco, California, United States

Abstract

A tomography of many-body quantum states of indistinguishable particles is generally performed by engineering couplings between the involved states and a subsequent counting of the occupation numbers. While precise couplings belong to the standard experimental toolbox, an accurate number counting presents a considerable challenge for both photonic and atomic quantum states. Here we present an application of a number-resolving atom counting [New J. Phys. 23, 113046 (2021)] for the state reconstruction of an atomic coherent spin state. We generate the coherent spin state by driving a Rabi frequency between two hyperfine states of an ultracold Rubidium ensemble.The result is analyzed by a number-resolving fluoresence detection setup. We characterize the fidelity of our detector and show that a negative-valued Wigner function is associated with it. The results offer an exciting perspective for a high-fidelity tomography of entangled states and can be applied for the future demonstration of Heisenberg-limited atom interferometry.

Conference Presentation

Citation Download Citation

Carsten Klempt, Mareike Hetzel, Lucca Pezzè, Cebrail Pür, Martin Quensen, Andreas Hüper, Jens Kruse, and Augusto Smerzi "Analyzing spin states of a Bose-Einstein condensate with number-resolved counting", Proc. SPIE PC12016, Optical and Quantum Sensing and Precision Metrology II, PC120161W (9 March 2022); https://doi.org/10.1117/12.2617229

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