Stabilizing arrays of photonic cat states via spontaneous symmetry breaking

Abstract

The controlled generation and the protection of entanglement is key to quantum simulation and quantum computation. At the single-mode level, protocols based on photonic cat states hold strong promise as they present unprecedentedly long-lived coherence and may be combined with powerful error correction schemes. Here, we demonstrate that robust ensembles of "many-body photonic cat states" can be generated in a Bose-Hubbard model with pair hopping via a spontaneous U(1) symmetry breaking mechanism. We identify a parameter region where the ground state is a massively degenerate manifold consisting of local cat states which are factorized throughout the lattice and whose conserved individual parities can be used to make a register of qubits. This phenomenology occurs for arbitrary system sizes or geometries, as soon as long-range order is established, and it extends to driven-dissipative conditions. In the thermodynamic limit, it is related to a Mott insulator to pair-superfluid phase transition.

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Cited by in corpus (7)

• Entanglement entropy scaling transition under competing monitoring protocols
• Photon pair condensation by engineered dissipation
• Competition between two-photon driving, dissipation and interactions in bosonic lattice models: an exact solution
• Nonequilibrium dynamics of the Jaynes-Cummings dimer
• Dissipative phase transition in systems with two-photon drive and nonlinear dissipation near the critical point
• Boson Sampling for Generalized Bosons
• Formation of paired phases of bosons and their excitations in a square lattice