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

Fuente: arXiv
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Autori principali: Steinfadt, Luis C., Eckardt, André, Petiziol, Francesco
Natura: Preprint
Pubblicazione: 2026
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author Steinfadt, Luis C.
Eckardt, André
Petiziol, Francesco
author_facet Steinfadt, Luis C.
Eckardt, André
Petiziol, Francesco
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_18377
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Dissipation-assisted preparation of Floquet-Laughlin states in superconducting circuits
Steinfadt, Luis C.
Eckardt, André
Petiziol, Francesco
Quantum Physics
Quantum Gases
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.
title Dissipation-assisted preparation of Floquet-Laughlin states in superconducting circuits
topic Quantum Physics
Quantum Gases
url https://arxiv.org/abs/2605.18377