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math.PR2021★ 1 cited
The number of optimal matchings for Euclidean Assignment on the line
Sergio Caracciolo, Vittorio Erba, Andrea Sportiello
We consider the Random Euclidean Assignment Problem in dimension , with linear cost function. In this version of the problem, in general, there is a large degeneracy of the gr…
cond-mat.stat-mech2021★ 8 cited
Self-induced glassy phase in multimodal cavity quantum electrodynamics
Vittorio Erba, Mauro Pastore, Pietro Rotondo
We provide strong evidence that the effective spin-spin interaction in a multimodal confocal optical cavity gives rise to a self-induced glassy phase, which emerges exclusively fro…