Measurement operator for quantum nondemolition measurements

被引：4

作者：

Ilo-Okeke, Ebubechukwu O. ^{[1
,2
,3
,4
]}

Chen, Ping ^{[1
,2
]}

Li, Shuang ^{[1
,2
]}

Anusionwu, Bede C. ^{[4
]}

Ivannikov, Valentin ^{[2
,3
]}

Byrnes, Tim ^{[1
,2
,3
,5
,6
,7
]}

机构：

[1] East China Normal Univ, Sch Phys & Mat Sci, State Key Lab Precis Spect, Shanghai 200062, Peoples R China

[2] New York Univ Shanghai, 567 West Yangsi Rd, Shanghai, Peoples R China

[3] NYU Shanghai, NYU ECNU Inst Phys, 3663 Zhongshan Rd North, Shanghai 200062, Peoples R China

[4] Fed Univ Technol Owerri, Sch Phys Sci, Dept Phys, PMB 1526, Owerri 460001, Nigeria

[5] NYU Shanghai, Shanghai Frontiers Sci Ctr Artificial Intelligence, 567 West Yangsi Rd, Shanghai 200126, Peoples R China

[6] New York Univ Abu Dhabi, NYUAD Res Inst, Ctr Quantum & Topol Syst CQTS, Abu Dhabi, U Arab Emirates

[7] NYU, Dept Phys, New York, NY 10003 USA

来源：

AVS QUANTUM SCIENCE | 2023年 / 5卷 / 02期

基金：

中国国家自然科学基金;

关键词：

CLOCK SYNCHRONIZATION; SPIN; TELEPORTATION; ENTANGLEMENT; STATE; GENERATION; ATOMS;

D O I：

10.1116/5.0141921

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：10

共 39 条

[1] Coherent all-optical control of ultracold atoms arrays in permanent magnetic traps [J].