Efficient Learning of Long-Range and Equivariant Quantum Systems by Štěpán Šmíd, Roberto Bondesan

“…Further, we show that learning algorithms equivariant under the automorphism group of the interaction hypergraph achieve a sample complexity reduction, leading in particular to a constant number of samples for learning sums of local observables in systems with periodic boundary conditions. We demonstrate the efficient scaling in practice by learning from DMRG simulations of $1$D long-range and disordered systems with up to $128$ qubits. …”
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Mean-field and Monte Carlo analysis of multi-species agent dynamics by Eduardo Velasco Stock, Roberto Da Silva, Sebastian Gonçalves

“…Finally, we report a phenomenon we term “Gaussian-to-Gaussian” behavior, in which an initially normal distribution of particles becomes distorted due to interactions among same and opposing species, passes through a transient regime, and eventually returns to a Gaussian-like profile in the steady state, after multiple rounds of motion under periodic boundary conditions.…”
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Localization and mobility edges in non-Hermitian continuous quasiperiodic systems by Xiang-Ping Jiang, Zhende Liu, Yayun Hu, Hongsheng Hou, Lei Pan

“…Additionally, we show that under the periodic boundary condition, the energy spectrum always exhibits an open curve representing high-energy extended eigenstates characterized by a non-zero integer winding number. …”
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