[G-SAFE] Geometry assisted StAbilization of Floquet Engineered phases
Ente: EC
Scadenza: 2029-08-31
Importo max: 202.125 EUR
Paese: EU
Descrizione
Floquet engineering (FE) has become a cornerstone of quantum technology, enabling precise control over quantum simulations through periodic modulation of system parameters. Its versatility across platforms has driven breakthroughs such as the realization of topological phases and synthetic gauge fields with applications in quantum computing; control of interactions in Fermi-Hubbard models, enabling studies of mechanisms potentially linked to high-temperature superconductivity; and the creation of exotic phases with no equilibrium counterparts, such as discrete time crystals and anomalous Floquet topological insulators. However, FE is limited by heating due to resonant energy absorption, with multi-photon resonances being a key bottleneck at low- and intermediate-frequency regimes. The inadequacy of conventional Floquet theory, due to the non-uniqueness of the Floquet Hamiltonian and the failure of perturbative analysis in these regimes, has hindered systematic study of the onset of Floquet heating and its mitigation. Environmental couplings further complicate analysis, with unclear roles in suppressing or amplifying heating. G-SAFE (Geometry assisted StAbilization of Floquet Engineered phases) will tackle these challenges by: (i) uncovering mechanisms that protect certain initial states against Floquet heating and using them to prepare states that can host Floquet-engineered phases while remaining stable, and (ii) establishing a theoretical framework for analysis and control of heating in environment-coupled Floquet systems, modelled with non-Hermitian Hamiltonians. Its innovation lies in combining the recently developed geometric Floquet theory with geometric measures that were recently applied to precisely quantify heating regimes in Floquet systems. By providing a predictive and controllable framework for stabilizing Floquet-engineered phases, G-SAFE will facilitate robust quantum simulations and advance the development of next-generation quantum technologies.
Settori: Horizon Europe Topics
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