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Abstract: Inspired by spin-electric couplings in molecular magnets, we introduce in theKitaev honeycomb model a linear modification of the Ising interactions due tothe presence of quantized cavity fields. This allows to control the propertiesof the low-energy toric code Hamiltonian, which can serve as a quantum memory,by tuning the physical parameters of the cavity modes, like frequencies, photonoccupations, and coupling strengths. We study the properties of the modelperturbatively by making use of the Schrieffer-Wolff transformation and showthat, depending on the specific setup, the cavity modes can be useful inseveral ways. They allow to detect the presence of anyons through frequencyshifts and to prolong the lifetime of the memory by enhancing the anyonexcitation energy or mediating long-range anyon-anyon interactions with tunablesign. We consider both resonant and largely detuned cavity modes.



Author: Fabio L. Pedrocchi, Stefano Chesi, Daniel Loss

Source: https://arxiv.org/







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