Chiral waveguide optomechanics: first order quantum phase transitions with ${\mathbb{Z}}_3$ symmetry breaking/

Abstract

We present a direct mapping between the quantum optomechanical problem of the atoms harmonically trapped in the vicinity of a chiral waveguide and a generalized quantum Rabi model and discuss the analogy between the self-organization of atomic chains in photonic structures and Dicke-like quantum phase transitions in the ultrastrong coupling regime. We extend the class of the superradiant phase transitions for the systems possessing ${\mathbb{Z}}_3$ rather than parity ${\mathbb{Z}}_2$ symmetry and demonstrate the emergence of the multicomponent Schrodinger cat ground states in these systems.

References in corpus (6)

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