The authors propose and simulate photonic realizations of the Creutz and Creutz-Hubbard ladders, predicting Aharonov-Bohm caging, doublon caging at half flux, edge states, and a synthetic-dimension implementation scheme.
Flat-band many-body localization and ergodicity breaking in the Creutz ladder
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abstract
We study disorder-free many-body localization in the flat-band Creutz ladder, which was recently realized in cold-atoms in an optical lattice. In a non-interacting case, the flat-band structure of the system leads to a Wannier wavefunction localized on four adjacent lattice sites. In the flat-band regime both with and without interactions, the level spacing analysis exhibits Poisson-like distribution indicating the existence of disorder-free localization. Calculations of the inverse participation ratio support this observation. Interestingly, this type of localization is robust to weak disorders, whereas for strong disorders, the system exhibits a crossover into the conventional disorder-induced many-body localizated phase. Physical picture of this crossover is investigated in detail. We also observe non-ergodic dynamics in the flat-band regime without disorder. The memory of an initial density wave pattern is preserved for long times.
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Topology and interactions in the photonic Creutz and Creutz-Hubbard ladders
The authors propose and simulate photonic realizations of the Creutz and Creutz-Hubbard ladders, predicting Aharonov-Bohm caging, doublon caging at half flux, edge states, and a synthetic-dimension implementation scheme.