杭州师范大学学报(自然科学版)
杭州師範大學學報(自然科學版)
항주사범대학학보(자연과학판)
JOURNAL OF HANGZHOU NORMAL UNIVERSITY(NATURAL SCIENCE EDITION)
2015年
3期
225-228,246
,共5页
连续量子测量%非破坏测量%随机主方程
連續量子測量%非破壞測量%隨機主方程
련속양자측량%비파배측량%수궤주방정
continuous quantum measurement%non-demolition measurement%stochastic master equation
利用一束二能级原子束,使之穿过光场并与其发生相互作用,通过探测穿过光场后原子的状态,获得关于光场内光子数的信息,从而实现一个关于光子数的连续弱测量过程。根据量子连续测量理论及Wiener随机过程的相关理论,推导出描述这一连续测量过程的随机Schr¨odinger方程与随机主方程。由所得方程的形式可见,如果原子与光场的相互作用为色散性的,则可以实现光场的非破坏测量,这种测量可以保证光场内的光子数在测量后不发生改变。反之如果相互作用是吸收性的,则可以实现吸收性的测量,这种测量等效于给光场附加了一个额外的真空热库,将导致光场内光子数的减少。
利用一束二能級原子束,使之穿過光場併與其髮生相互作用,通過探測穿過光場後原子的狀態,穫得關于光場內光子數的信息,從而實現一箇關于光子數的連續弱測量過程。根據量子連續測量理論及Wiener隨機過程的相關理論,推導齣描述這一連續測量過程的隨機Schr¨odinger方程與隨機主方程。由所得方程的形式可見,如果原子與光場的相互作用為色散性的,則可以實現光場的非破壞測量,這種測量可以保證光場內的光子數在測量後不髮生改變。反之如果相互作用是吸收性的,則可以實現吸收性的測量,這種測量等效于給光場附加瞭一箇額外的真空熱庫,將導緻光場內光子數的減少。
이용일속이능급원자속,사지천과광장병여기발생상호작용,통과탐측천과광장후원자적상태,획득관우광장내광자수적신식,종이실현일개관우광자수적련속약측량과정。근거양자련속측량이론급Wiener수궤과정적상관이론,추도출묘술저일련속측량과정적수궤Schr¨odinger방정여수궤주방정。유소득방정적형식가견,여과원자여광장적상호작용위색산성적,칙가이실현광장적비파배측량,저충측량가이보증광장내적광자수재측량후불발생개변。반지여과상호작용시흡수성적,칙가이실현흡수성적측량,저충측량등효우급광장부가료일개액외적진공열고,장도치광장내광자수적감소。
To realize the continuous weak measurement for photon number ,a beam of two‐level atoms passes through a quantum optical field and then reads out the information about the photon number by detecting the state of the atoms leaving the optical field .According to the quantum continuous measurement theory and the Wiener stochastic process theory ,a stochastic master equation and a stochastic Schr¨odinger equation to describe the measurement process can be derived .The forms of the resulting equations show that if the interaction between the atom and the photon is dispersive in nature ,then the photon number in the optical field can be conserved and a quantum non‐demolition (QND) measurement can be realized .If the interaction is absorptive ,then the absorption measurement can be realized ,which corresponds to add to the optical field an additional vacuum reservoir and leads to the dissipation of the optical field .