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

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3