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.

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Cited by in corpus (17)

• Quantum amplification and simulation of strong and ultrastrong coupling of light and matter
• One-photon Solutions to Multiqubit Multimode quantum Rabi model
• Generalization of the Tavis-Cummings model for multi-level anharmonic systems
• Waveguide QED with Quadratic Light-Matter Interactions
• Schrödinger cats in quantum-dot--cavity systems
• Photon induced atom recoil in collectively interacting planar arrays
• Cavitylike strong coupling in macroscopic waveguide QED using three coupled qubits in the deep non-Markovian regime
• Quantum phase transitions and cat states in cavity-coupled quantum dots
• Quantum Simulation of Tunable and Ultrastrong Mixed-Optomechanics
• Modified dipole-dipole interactions in the presence of a nanophotonic waveguide
• Deterministic single-photon source in the ultrastrong coupling regime
• Quantum Phase Transitions in a Generalized Dicke Model
• Achieving the volume-law entropy regime with random-sign Dicke states
• Schottky anomaly in a cavity-coupled double quantum well
• Generation of photons from vacuum in cavity via time-modulation of a qubit invisible to the field
• Dissipation-assisted few-photon optical diode
• Localized vibrational modes in waveguide quantum optomechanics with spontaneously broken PT symmetry