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QI: Fachverband Quanteninformation

QI 34: Quantum Control I

QI 34.5: Vortrag

Donnerstag, 13. März 2025, 15:30–15:45, HS II

Dissipative preparation of few-particle fractional Chern insulators — •Luis Calvin Steinfadt, Francesco Petiziol, and André Eckardt — TU Berlin, Institut für Theoretische Physik, Hardenbergstraße 36, Berlin 10623, Germany

Fractional Chern insulators (FCIs) are lattice analogs of fractional quantum Hall systems, where the interplay of particle interactions and topological effects leads to the emergence of interesting many-body phenomena, such as long-range entanglement and anyonic excitations. These features make such systems of significant interest, especially due to their potential for quantum information technology. The purpose of investigating FCIs in a clean and controllable setting motivates efforts toward their realization in quantum simulations. Key difficulties in this context are implementing the relevant Hamiltonian through quantum simulation schemes and also driving the system toward the correlated FCI ground state. We explore the use of reservoir engineering, as can be realized in superconducting circuits, to stabilize the FCI ground state of the Harper-Hofstadter-Hubbard model. In particular, we consider realizations of the Hamiltonian based on Floquet engineering, as experimentally realized in quantum gas microscopes [1] and superconducting qubits [2]. It has been shown that these ingredients can be successfully combined to effectively prepare target Floquet states [3]. Here, they are applied to prepare small-scale bosonic Laughlin states.

[1] J. Léonard et al., Nature 619, 495-499 (2023)

[2] C. Wang et al., Science 384, 579-584 (2024)

[3] F. Petiziol, A. Eckardt, Phys. Rev. Lett. 129, 233601 (2022)

Keywords: dissipation; topological insulators; quantum control; quantum hall