Dissipative Pairing Interactions: Quantum Instabilities, Topological Light, and Volume-Law Entanglement

Abstract

We analyze an unusual class of bosonic dynamical instabilities that arise from dissipative (or non-Hermitian) pairing interactions. We show that, surprisingly, a completely stable dissipative pairing interaction can be combined with simple hopping or beam-splitter interactions (also stable) to generate instabilities. Further, we find that the dissipative steady state in such a situation remains completely pure up until the instability threshold (in clear distinction from standard parametric instabilities). These pairing-induced instabilities also exhibit an extremely pronounced sensitivity to wavefunction localization. This provides a simple yet powerful method for selectively populating and entangling edge modes of photonic (or more general bosonic) lattices having a topological bandstructure. The underlying dissipative pairing interaction is experimentally resource-friendly, requiring the addition of a single additional localized interaction to an existing lattice, and is compatible with a number of existing platforms, including superconducting circuits.

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• Topological zero modes and edge symmetries of metastable Markovian bosonic systems
• Universal Time-Entanglement Trade-off in Open Quantum Systems
• Edge-selective extremal damping from topological heritage of dissipative Chern insulators
• Linear and Non-Linear Response of Quadratic Lindbladians
• Quantum Signatures of Topological Phase in Bosonic Quadratic System
• Non-Gaussian Phase Transition and Cascade of Instabilities in the Dissipative Quantum Rabi Model
• Bosonic Holes in Quadratic Bosonic Systems
• Manipulating Topological Polaritons in Optomechanical Ladders
• Stability via symmetry breaking in interacting driven systems