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Frontiers of Physics

Enhanced phase sensitivity of an SU(1,1) interferometer with displaced squeezed vacuum light

Xiao‐Yu Hu, Chaoping Wei, Ya-Fei Yu, Zhi‐Ming Zhang

Published Jan 28, 2016• 19 citations
Publisher

Abstract

We study the phase sensitivity of an SU(1,1) interferometer with two input beams in the displaced squeezed vacuum state and the coherent state, respectively. We find that there exists an optimal squeezing fraction of the displaced squeezed vacuum state that optimizes the phase sensitivity. We also examine the effects of some factors, including the loss, mean photon number of the input beams and amplitude gain of the optical parameter amplifiers, on the optimal squeezing fraction so that we can choose the optimal values to enhance the phase sensitivity.

DOI
10.1007/s11467-015-0547-0

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We theoretically study the effect of quantum statistics of the light field on the quantum enhancement of parameter estimation based on cat state input the SU(1,1) interferometer. The phase sensitivity is dependent on the relative phase θθθ between two coherent states of Schrödinger cat states. The optimal sensitivity is achieved when the relative phase is πππ% , i.e., odd coherent states input. For a coherent state input into one port, the phase sensitivity of the odd coherent state into the second input port is inferior to that of the squeezed vacuum state input. However, in the presence of losses the Schrödinger cat states are more resistant to loss than squeezed vacuum states. As the amplitude of Schrödinger cat states increases, the quantum enhancement of phase sensitivity decreases, which shows that the quantum statistics of Schrödinger cat states tends towards Poisson statistics from sub-Poisson statistics or super-Poisson statistics.
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Abstract We derive a general phase-matching condition (PMC) for enhancement of sensitivity in SU(1,1) interferometers. Under this condition, the quantum Fisher information (QFI) of two-mode SU(1,1) interferometry becomes maximal with respect to the relative phase of two modes, for the case of an arbitrary state in one input port and an even (odd) state in the other port, and the phase sensitivity is enhanced. We also find that optimal parameters can let the QFI in some areas achieve the Heisenberg limit for both pure and mixed initial states. As examples, we consider several input states: coherent and even coherent states, squeezed vacuum and even coherent states, squeezed thermal and even coherent states. Furthermore, in the realistic scenario of the photon loss channel, we investigate the effect of photon losses on QFI with numerical studies. We find the PMC remains unchanged and is not affected by the transmission coefficients for the above input states. Our results suggest that the PMC can exist in various kinds of interferometers and the phase-matching is robust to even strong photon losses.