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

TL;DR

This paper proposes a method to prepare fractional Chern insulator states in superconducting circuits using driven-dissipative stabilization, enabling the observation of quantum Hall signatures in small systems.

Contribution

It introduces a novel dissipation-assisted protocol for stabilizing Floquet-FCI states in superconducting circuits via quantum bath engineering.

Findings

Numerical demonstration of fractional quantum Hall signatures in stabilized states

Control scheme allows detection of bulk incompressibility and Hall response

Pathway for dissipation-assisted preparation of strongly correlated states

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.