Continuous Measurement of Atom-Number Moments of a Bose-Einstein Condensate by Photodetection
G. A. Prataviera, M. C. de Oliveira

TL;DR
This paper introduces a continuous photodetection method in a ring cavity to measure atom-number moments of a Bose-Einstein condensate with minimal heating, impacting quantum state control.
Contribution
It presents a novel measurement scheme for BEC atom-number moments using off-resonant optical fields and photodetection, reducing heating and back-action effects.
Findings
Allows measurement of even-moments of BEC atom number
Limits heating of atomic samples during measurement
Suppresses collapse and revival dynamics in BECs
Abstract
We propose a measurement scheme that allows determination of even-moments of a Bose-Einstein condensate (BEC) atom number, in a ring cavity, by continuous photodetection of an off-resonant quantized optical field. A fast cavity photocounting process limits the heating of atomic samples with a relatively small number of atoms, being convenient for BECs on a microchip scale applications. The measurement back-action introduces a counting-conditioned phase damping, suppressing the condensate typical collapse and revival dynamics.
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