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We show that the robust spin squeezing preservation can be achieved byutilizing detuning modification for an ensemble of N separate two-level atomsembedded in photonic crystal cavities (PCC). In particular, we explore thedifferent dynamical behaviors of spin squeezing between isotropic andanisotropic PCC cases when the atomic frequency is inside the band gap. In bothcases, it is shown that the robust preservation of spin squeezing is completelydetermined by the formation of bound states. Intriguingly, we find that unlikethe isotropic case where steady-state spin squeezing varies smoothly when theatomic frequency moves from the inside to the outside band edge, a suddentransition occurs for the anisotropic case. The present results may be ofdirect importance for, e.g., quantum metrology in open quantum systems.

Robust Spin Squeezing Preservation in Photonic Crystal Cavities