Quantum noise in the mirror-field system: A field theoretic approach

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題名:	Quantum noise in the mirror-field system: A field theoretic approach
作者:	項人宗;Hsiang, Jen-Tsung;Wu, Tai-Hung;Lee, Da-Shin;King, Sun-Kun;Wu, Chun-Hsien
貢獻者:	理學院物理學系
關鍵詞:	Backreaction of the radiation field;CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;COMPARATIVE EVALUATIONS;CORRELATIONS;Dynamics of the moving mirror;EIGENSTATES;EQUATIONS OF MOTION;FLUCTUATIONS;INTEGRALS;INTERFERENCE;LANGEVIN EQUATION;MIRRORS;NOISE;Noise–noise correlation;OPTICS;QUANTUM MECHANICS;Quantum noise suppression;Quantum physics;Radiation;RADIATION PRESSURE;SCALAR FIELDS;Standard quantum limit;STOCHASTIC PROCESSES;STRESSES;SURFACES;TENSORS
日期:	2013-02-01
上傳時間:	2026-04-23 12:42:06 (UTC+8)
出版者:	New York: Elsevier Inc
摘要:	摘要： We revisit the quantum noise problem in the mirror–field system by a field-theoretic approach. Here a perfectly reflecting mirror is illuminated by a single-mode coherent state of the massless scalar field. The associated radiation pressure is described by a surface integral of the stress-tensor of the field. The read-out field is measured by a monopole detector, from which the effective distance between the detector and mirror can be obtained. In the slow-motion limit of the mirror, this field-theoretic approach allows to identify various sources of quantum noise that all in all leads to uncertainty of the read-out measurement. In addition to well-known sources from shot noise and radiation pressure fluctuations, a new source of noise is found from field fluctuations modified by the mirror’s displacement. Correlation between different sources of noise can be established in the read-out measurement as the consequence of interference between the incident field and the field reflected off the mirror. In the case of negative correlation, we found that the uncertainty can be lowered than the value predicted by the standard quantum limit. Since the particle-number approach is often used in quantum optics, we compared results obtained by both approaches and examine its validity. We also derive a Langevin equation that describes the stochastic dynamics of the mirror. The underlying fluctuation–dissipation relation is briefly mentioned. Finally we discuss the backreaction induced by the radiation pressure. It will alter the mean displacement of the mirror, but we argue this backreaction can be ignored for a slowly moving mirror. ► The quantum noise problem in the mirror–field system is re-visited by a field-theoretic approach. ► Other than the shot noise and radiation pressure noise, we show there are new sources of noise and correlation between them. ► The noise correlations can be used to suppress the overall quantum noise on the mirror. ► The equation of motion of the mirror is derived and the backreaction of the radiation field is discussed. 出版者： New York: Elsevier Inc 出版日期： 2013-02-01 出處： Annals of physics, 2013-02, Vol.329, p.28-50 資源來源： Elsevier ScienceDirect Journals Complete 版權： 2012 Elsevier Inc. 版權： Copyright © 2013 Elsevier B.V. All rights reserved. 識別號： ISSN: 0003-4916 識別號： EISSN: 1096-035X 識別號： DOI: 10.1016/j.aop.2012.09.008 識別號： CODEN: APNYA6
顯示於類別:	[物理學系] 期刊論文

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