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Turek, Y; Kobayashi, H; Akutsu, T; Sun, CP; Shikano, Y; Turek, Y (reprint author), Natl Inst Nat Sci, Inst Mol Sci, Res Ctr Integrat Mol Syst CIMoS, 38 Nishigonaka, Okazaki, Aichi 4448585, Japan.
Post-selected von Neumann measurement with Hermite-Gaussian and Laguerre-Gaussian pointer states
Source PublicationNEW JOURNAL OF PHYSICS
Language英语
KeywordVon Neumann Interaction Quantum Measurement Weak Measurement Higher-order Gaussian Mode Signal-to-noise Ratio Weak-value Amplification
AbstractThrough 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.
2015
Volume17Issue:0Pages:83029
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1088/1367-2630/17/8/083029
Indexed BySCI
Funding OrganizationSumitomo Foundation ; Sumitomo Foundation ; Sumitomo Foundation ; Sumitomo Foundation ; Matsuo Foundation ; Matsuo Foundation ; Matsuo Foundation ; Matsuo Foundation ; IMS Joint Study Program ; IMS Joint Study Program ; IMS Joint Study Program ; IMS Joint Study Program ; NINS youth collaborative projects ; NINS youth collaborative projects ; NINS youth collaborative projects ; NINS youth collaborative projects ; Center for the Promotion of Integrated Sciences (CPIS) of Sokendai ; Center for the Promotion of Integrated Sciences (CPIS) of Sokendai ; Center for the Promotion of Integrated Sciences (CPIS) of Sokendai ; Center for the Promotion of Integrated Sciences (CPIS) of Sokendai ; ICRR Joint Research from The University of Tokyo ; ICRR Joint Research from The University of Tokyo ; ICRR Joint Research from The University of Tokyo ; ICRR Joint Research from The University of Tokyo ; JSPS KAKENHI [24654133, 25790068, 25287101] ; JSPS KAKENHI [24654133, 25790068, 25287101] ; JSPS KAKENHI [24654133, 25790068, 25287101] ; JSPS KAKENHI [24654133, 25790068, 25287101] ; IMS Internship project ; IMS Internship project ; IMS Internship project ; IMS Internship project
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/20897
Collection理论物理所科研产出_SCI论文
Corresponding AuthorTurek, Y (reprint author), Natl Inst Nat Sci, Inst Mol Sci, Res Ctr Integrat Mol Syst CIMoS, 38 Nishigonaka, Okazaki, Aichi 4448585, Japan.
Recommended Citation
GB/T 7714
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,&Turek, 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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