Post-selected von Neumann measurement with Hermite-Gaussian and Laguerre-Gaussian pointer states
Turek, Y; Kobayashi, H; Akutsu, T; Sun, CP; Shikano, Y
刊名NEW JOURNAL OF PHYSICS
2015
卷号17期号:0页码:83029
关键词von Neumann interaction quantum measurement weak measurement higher-order Gaussian mode signal-to-noise ratio weak-value amplification
通讯作者Turek, Y (reprint author), Natl Inst Nat Sci, Inst Mol Sci, Res Ctr Integrat Mol Syst CIMoS, 38 Nishigonaka, Okazaki, Aichi 4448585, Japan.
英文摘要Through the von Neumann interaction followed by post-selection, we can extract not only the eigenvalue of an observable of the measured system but also the weak value. In this post-selected von Neumann measurement, the initial pointer state of the measuring device is assumed to be a fundamental Gaussian wave function. By considering the optical implementation of the post-selected von Neumann measurement, higher-order Gaussian modes can be used. In this paper, we consider the Hermite-Gaussian (HG) and Laguerre-Gaussian (LG) modes as pointer states and calculate the average shift of the pointer states of the post-selected von Neumann measurement by assuming the system observable (A) over cap with (A) over cap (2) (I) over cap = and (A) over cap (2) = (A) over cap for an arbitrary interaction strength, where (I) over cap represents the identity operator. Our results show that theHGand LG pointer states for a given coupling direction have advantages and disadvantages over the fundamental Gaussian mode in improving the signal-to-noise ratio. Weexpect that our general treatment of the weak values will be helpful for understanding the connection between weak-and strong-measurement regimes and may be used to propose new experimental setups with higher-order Gaussian beams to investigate further the applications of weak measurement in optical systems such as the optical vortex.
学科主题Physics
类目[WOS]Physics, Multidisciplinary
关键词[WOS]SPATIAL LIGHT MODULATORS ; NITROGEN-VACANCY CENTER ; WEAK MEASUREMENT ; VALUES ; SPIN ; INTERFEROMETER ; INEQUALITY ; VIOLATION ; PRECISION ; PHOTONS
收录类别SCI
语种英语
内容类型期刊论文
源URL[http://ir.itp.ac.cn/handle/311006/20897]  
专题理论物理研究所_理论物理所1978-2010年知识产出
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Turek, Y,Kobayashi, H,Akutsu, T,et al. Post-selected von Neumann measurement with Hermite-Gaussian and Laguerre-Gaussian pointer states[J]. NEW JOURNAL OF PHYSICS,2015,17(0):83029.
APA Turek, Y,Kobayashi, H,Akutsu, T,Sun, CP,&Shikano, Y.(2015).Post-selected von Neumann measurement with Hermite-Gaussian and Laguerre-Gaussian pointer states.NEW JOURNAL OF PHYSICS,17(0),83029.
MLA Turek, Y,et al."Post-selected von Neumann measurement with Hermite-Gaussian and Laguerre-Gaussian pointer states".NEW JOURNAL OF PHYSICS 17.0(2015):83029.
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