Dissipative Topological Phase Transition with Strong System-Environment Coupling

Abstract

A primary motivation for studying topological matter regards the protection of topological order from its environment. In this work, we study a topological emitter array coupled to an electromagnetic environment. The photon-emitter coupling produces nonlocal interactions between emitters. Using periodic boundary conditions for all ranges of environment-induced interactions, the chiral symmetry inherent to the emitter array is preserved. This chiral symmetry protects the Hamiltonian, and induces parity in the Lindblad operator. A topological phase transition occurs at a critical photon-emitter coupling related to the energy spectrum width of the emitter array. Interestingly, the critical point nontrivially changes the dissipation rates of edge states, yielding a dissipative topological phase transition. In the protected topological phase, edge states suffer from environment-induced dissipation for weak photon-emitter coupling. However, strong coupling leads to robust dissipationless edge states with a window at the emitter spacing. Our work shows the potential to manipulate topological quantum matter with electromagnetic environments.

7 pages, 5 figures

References in corpus (8)

• Microwave photonics with superconducting quantum circuits
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Entanglement of two qubits mediated by one-dimensional plasmonic waveguides
• Subwavelength vacuum lattices and atom-atom interactions in photonic crystals
• Geometry of quantum phase transitions
• Topological indices for open and thermal systems via Uhlmann's phase
• Temperature effects in the band structure of topological insulators
• Entanglement dynamics and Mollow nonuplets between two coupled quantum dots in a nanowire photonic crystal system

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• Degenerate Topological Edge States in Multimer Chains
• Effective dynamics and quantum state engineering by periodic kicks
• Constructing qubit edge states by inverse-designing the electromagnetic environment
• Manipulating Topological Polaritons in Optomechanical Ladders
• Dissipation induced ergodic-nonergodic transitions in finite-height mosaic Wannier-Stark lattices
• Dissipation-Driven Transition of Particles from Dispersive to Flat Bands