Measurement operator for quantum nondemolition measurements

Author:

Ilo-Okeke Ebubechukwu O.1234ORCID,Chen Ping12ORCID,Li Shuang12ORCID,Anusionwu Bede C.4,Ivannikov Valentin23ORCID,Byrnes Tim123567

Affiliation:

1. State Key Laboratory of Precision Spectroscopy, School of Physical and Material Sciences, East China Normal University 1 , Shanghai 200062, China

2. New York University Shanghai 2 , 567 West Yangsi Road, Shanghai, China

3. NYU-ECNU Institute of Physics at NYU Shanghai 3 , 3663 Zhongshan Road North, Shanghai 200062, China

4. Department of Physics, School of Physical Sciences, Federal University of Technology 4 , P. M. B. 1526, Owerri 460001, Nigeria

5. Shanghai Frontiers Science Center of Artificial Intelligence and Deep Learning 5 , NYU Shanghai, 567 West Yangsi Road, Shanghai, 200126, China

6. Center for Quantum and Topological Systems (CQTS), NYUAD Research Institute, New York University Abu Dhabi 6 , Abu Dhabi, United Arab Emirates

7. Department of Physics, New York University 7 , New York, New York 10003, USA

Abstract

We derive a measurement operator corresponding to a quantum nondemolition (QND) measurement of an atomic ensemble. The quantum measurement operator takes the form of a positive operator valued measure (POVM) and is valid for arbitrary interaction times, initial coherent state amplitudes, and final photon measurement outcomes. We analyze the dependence on various parameters and show that the effect of the QND measurement for short interaction times is to apply a Gaussian modulation of the initial state wavefunction. We derive approximate expressions for the POVM in various limits, such as the short interaction time regime and projective measurement limit. Several examples are shown, which show how spin squeezing and Schrodinger cat states can be generated using the measurement.

Funder

National Natural Science Foundation of China

NYU-ECNU Institute of Physics at NYU Shanghai

Shanghai Frontiers Science Center of Artificial Intelligence and Deep Learning

The Joint Physics Research Institute Challenge Grant

Science and Technology Commission of Shanghai Municipality

The NYU Shanghai Boost Fund

The China Foreign Experts Program

The NYU Shanghai Major-Grants Seed Fund

Tamkeen under the NYU Abu Dhabi Research Institute Grant CG008. E.O.I.O. and B.C.A. ackbowledge the support of the Tertiary Education Trust fund,Nigeria

Publisher

American Vacuum Society

Subject

Electrical and Electronic Engineering,Computational Theory and Mathematics,Physical and Theoretical Chemistry,Computer Networks and Communications,Condensed Matter Physics,Atomic and Molecular Physics, and Optics,Electronic, Optical and Magnetic Materials

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