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

2022/11/17 by Francesco Petiziol, Sandro Wimberger, Petiziol, Francesco +5 · 1 citation
Physics and Astronomy · #Quantum many-body systems #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena

paper · pdf · doi:10.48550/arxiv.2211.09724

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.

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