Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866915592598978560 |
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| author | Petiziol, Francesco Wimberger, Sandro Eckardt, André Mintert, Florian |
| author_facet | Petiziol, Francesco Wimberger, Sandro Eckardt, André Mintert, Florian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_09724 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state Petiziol, Francesco Wimberger, Sandro Eckardt, André Mintert, Florian Quantum Physics Quantum Gases 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. |
| title | Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state |
| topic | Quantum Physics Quantum Gases |
| url | https://arxiv.org/abs/2211.09724 |