Waveguide quantum optomechanics: parity-time phase transitions in ultrastrong coupling regime

Abstract

We develop a rigorous theoretical framework for interaction-induced phenomena in the waveguide quantum electrodynamics (QED) driven by mechanical oscillations of the qubits. Specifically, we predict that the simplest set-up of two qubits, harmonically trapped over an optical waveguide, enables the ultrastrong coupling regime of the quantum optomechanical interaction. Moreover, the combination of the inherent open nature of the system and the strong optomechanical coupling leads to emerging parity-time (\PT) symmetry, quite unexpected for a purely quantum system without artificially engineered gain and loss. The $\mathcal{P}\mathcal{T}$ phase transition drives long-living subradiant states, observable in the state-of-the-art waveguide QED setups.

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• Anomalous spontaneous emission dynamics at chiral exceptional points
• Free-Fermion Multiply Excited Eigenstates and Their Experimental Signatures in 1D Arrays of Two-Level Atoms
• Pseudo-conservative dynamics of coupled polariton condensates
• Photonic Bound States and Scattering Resonances in Waveguide QED
• Nonradiant multiphoton states in quantum ring oligomers
• Localized vibrational modes in waveguide quantum optomechanics with spontaneously broken PT symmetry