Dissipation-assisted preparation of Floquet-Laughlin states in superconducting circuits

Luis C. Steinfadt; André Eckardt; Francesco Petiziol

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arXiv · 2605.18377

Dissipation-assisted preparation of Floquet-Laughlin states in superconducting circuits

Luis C. Steinfadt·André Eckardt·Francesco Petiziol

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Abstract

Fractional Chern insulators (FCIs) are lattice analogs of fractional quantum Hall systems, where the interplay of strong interactions with a frustrated tunnelling kinetics leads to the emergence of a gapped ground state with long-range entanglement and anyonic excitations. The highly correlated nature of such systems makes their adiabatic preparation challenging already beyond the minimal system size of two particles. Considering Floquet implementations of the bosonic Harper-Hofstadter-Hubbard model of few photons in superconducting circuits, we design protocols for the driven-dissipative stabilization of its FCI ground state at half filling via quantum bath engineering. Dissipation control is achieved through the coupling to driven leaky cavity modes, which realize a tuneable artificial environment having the Floquet-FCI as its approximate fixed point. For systems of two, three and six particles, we show numerically how the flexibility of the control scheme further allows for the detection of fractional quantum Hall signatures in the stabilized steady states, including bulk incompressibility, Hall response and the trapping of fractional charges. Our results provide a concrete pathway to dissipation-assisted preparation of strongly correlated states in quantum simulators.

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Luis C. Steinfadt, André Eckardt, Francesco Petiziol. 2026-05-26. Dissipation-assisted preparation of Floquet-Laughlin states in superconducting circuits. https://arxiv.org/abs/2605.18377

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