Higher symmetry breaking and non-reciprocity in a driven-dissipative Dicke model

Abstract

Higher symmetries in interacting many-body systems often give rise to new phases and unexpected dynamical behavior. Here, we theoretically investigate a variant of the Dicke model with higher-order discrete symmetry, resulting from complex-valued coupling coefficients between quantum emitters and a bosonic mode. We propose a driven-dissipative realization of this model focusing on optomechanical response of a driven atom tweezer array comprised of $n$ sub-ensembles and placed within an optical cavity, with the phase of the driving field advancing stepwise between sub-ensembles. Examining stationary points and their dynamical stability, we identify a phase diagram for $n\ge 3$ with three distinctive features: a ${\mathbb{Z}}_n$ (${\mathbb{Z}}_{2n}$) symmetry-breaking superradiant phase for even (odd) $n$, a normal unbroken-symmetry phase that is dynamically unstable due to non-reciprocal forces between emitters, and a first-order phase transition separating these phases. This $n$-phase Dicke model may be equivalently realized in a variety of optomechanical or opto-magnonic settings, where it can serve as a testbed for studying high-order symmetry breaking and non-reciprocal interactions in open systems.

arXiv comment13 pages, 9 figures

References in corpus (30)

• Non-Hermitian Physics
• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• Optomechanical Crystals
• Cold atoms in cavity-generated dynamical optical potentials
• Non-reciprocal phase transitions
• Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
• Generalized nonreciprocity in an optomechanical circuit via synthetic magnetism and reservoir engineering
• Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
• Prospects for a mHz-linewidth laser
• Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
• Non-equilibrium quantum condensation in an incoherently pumped dissipative system
• Observation of a continuous time crystal
• Nonreciprocal control and cooling of phonon modes in an optomechanical system
• Dissipation Induced Structural Instability and Chiral Dynamics in a Quantum Gas
• Verification of a many-ion simulator of the Dicke model through slow quenches across a phase transition
• Dicke model simulation via cavity-assisted Raman transitions
• Non-Hermitian dynamics and nonreciprocity of optically coupled nanoparticles
• Nonreciprocal Superradiant Phase Transitions and Multicriticality in a Cavity QED System
• The non-reciprocal Dicke model
• Non-equilibrium fixed points of coupled Ising models
• Entanglement and replica symmetry breaking in a driven-dissipative quantum spin glass
• Observations of a PT-like phase transition and limit cycle oscillations in non-reciprocally coupled optomechanical oscillators levitated in vacuum
• Ordering kinetics in q-state clock model: scaling properties and growth laws
• Quantum Optical Binding of Nanoscale Particles
• Directly observing replica symmetry breaking in a vector quantum-optical spin glass
• Phase Transitions in Nonreciprocal Driven-Dissipative Condensates
• Optomechanical self-organization in a mesoscopic atom array
• Non-Hermitian physics of levitated nanoparticle array
• Spin self-organization in an optical cavity facilitated by inhomogeneous broadening
• Nonreciprocal superradiant quantum phase transition induced by the magnon Kerr effect