Abstract

A $P\mathcal{T}$-symmetric photonic dimer consists of two identical coupled cavities, one with loss and the other with overall gain [1]. While exact $P\mathcal{T}$-symmetry is only achieved when the gain-to-loss ratio is ρ = +1, hidden $P\mathcal{T}$, leading to similar dynamics, occurs for (ρ ≠ 1). Recently, (hidden) $P\mathcal{T}$-symmetric systems attracted attention in the context of frequency combs as Kerr cavity solitons (CS) have been shown to exist in driven gain-loss ring resonators [2], as well as on each side of the exceptional point in loss-loss coupled microrings [3]. In this work, we analyze the existence region and the stability of CSs in the $P\mathcal{T}$-symmetric regime (strong coupling), when unequal resonator detunings are considered.

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