Quantum Fisher information and spin squeezing in one-axis twisting model

doi:10.1088/1674-1056/23/6/060302

Abstract We investigate the dependence of the average parameter estimation precision (APEP), which is defined by the quantum Fisher information, on the polar angle of the initial coherent spin state |θ₀,φ₀> in a one-axis twisting model. Jin et al. [New J. Phys. 11 (2009) 073049] found that the spin squeezing sensitively depends on the polar angle θ₀ of the initial coherent spin state. We show explicitly that the APEP is robust to the initial polar angle θ₀ in the vicinity of π/2 and a near-Heisenberg limit ∝2/N in quantum single-parameter estimation may still be achieved for states created with the nonlinear evolution of the nonideal coherent spin states θ₀～π/2. Based on this model, we also consider the effects of the collective dephasing on spin squeezing and the APEP.

Keywords: quantum Fisher information spin squeezing one-axis twisting model

Received: 03 December 2013
Revised: 20 February 2014
Accepted manuscript online:

PACS:	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	06.20.-f	(Metrology)
	42.50.Dv	(Quantum state engineering and measurements)

Fund: Project supported by the National Basic Research Program of China (Grant No. 2012CB921602) and the National Natural Science Foundation of China (Grant Nos. 11025527 and 10935010).

Corresponding Authors: Wang Xiao-Guang
E-mail: xgwang@zimp.zju.edu.cn

Cite this article:

Zhong Wei (钟伟), Liu Jing (刘京), Ma Jian (马健), Wang Xiao-Guang (王晓光) Quantum Fisher information and spin squeezing in one-axis twisting model 2014 Chin. Phys. B 23 060302

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