Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state

Abstract

We theoretically propose a quantum simulation scheme for the toric-code Hamiltonian, the paradigmatic model of a quantum spin liquid, based on time-periodic driving. We develop a hybrid continuous-digital strategy that exploits the commutativity of different terms in the target Hamiltonian. It allows one to realize the required four-body interactions in a nonperturbative way, attaining strong coupling and the suppression of undesired processes. In addition, we design an optimal protocol for preparing the topologically ordered ground states with high fidelity. A proof-of-principle implementation of a topological device and its use to simulate the topological phase transition are also discussed. The proposed scheme finds natural implementation in architectures of superconducting qubits with tuneable couplings.

21 pages, 9 figures

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Cited by in corpus (6)

• Floquet-engineered Emergent Massive Nambu-Goldstone Modes
• Engineering Hierarchical Symmetries
• Non-Abelian Anyons in Periodically Driven Abelian Spin Liquids
• Effective (Floquet) Lindblad generators from spectral unwinding
• Experimental protocol for observing single quantum many-body scars with transmon qubits
• Multimode NOON-state generation with ultracold atoms via geodesic counterdiabatic driving