Weak value amplification via second-order correlated technique

We propose a new framework combining weak measurement and second-order correlated technique.The theoretical analysis shows that weak value amplification(WVA) experiment can also be implemented by a second-order correlated system.We then build two-dimensional second-order correlated function patterns for achieving higher amplification factor and discuss the signal-to-noise ratio influence.Several advantages can be obtained by our proposal.For instance,detectors with high resolution are not necessary.Moreover,detectors with low saturation intensity are available in WVA setup.Finally,type-one technical noise can be effectively suppressed.