Tunable two-axis spin model and spin squeezing in two cavities

doi:10.1088/1674-1056/25/5/050301

Abstract

Multi-mode cavities have now attracted much attention both experimentally and theoretically. In this paper, inspired by recent experiments of cavity-assisted Raman transitions, we realize a two-axis spin Hamiltonian H=q(J_x²+χJ_y²)+ω₀J_z in two cavities. This realized Hamiltonian has a distinct property that all parameters can be tuned independently. For proper parameters, the well-studied one- and two-axis twisting Hamiltonians are recovered, and the scaling of N^-1 of the maximal squeezing factor can occur naturally. On the other hand, in the two-axis twisting Hamiltonian, spin squeezing is usually reduced when increasing the atomic resonant frequency ω₀. Surprisingly, we find that by combining with the dimensionless parameter χ(>-1), this atomic resonant frequency ω₀ can enhance spin squeezing greatly. These results are beneficial for achieving the required spin squeezing in experiments.

Keywords: two-axis spin model spin squeezing two cavities

Received: 14 November 2015
Revised: 06 January 2016
Accepted manuscript online:

PACS:	03.65.Vf	(Phases: geometric; dynamic or topological)
	42.50.Ct	(Quantum description of interaction of light and matter; related experiments)
	42.50.Pq	(Cavity quantum electrodynamics; micromasers)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11422433, 11447028, 61227902, 11434007, and 61275211), the Natural Science Foundation of Zhejiang Province, China (Grant No. LY13A040001), and the Scientific Research Foundation of the Education Department of Zhejiang Province, China (Grant No. Y201122352).

Corresponding Authors: Gang Chen
E-mail: chengang971@163.com

Cite this article:

Lixian Yu(俞立先), Caifeng Li(李彩凤), Jingtao Fan(樊景涛), Gang Chen(陈刚), Tian-Cai Zhang(张天才), Suotang Jia(贾锁堂) Tunable two-axis spin model and spin squeezing in two cavities 2016 Chin. Phys. B 25 050301

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