113 citations · 728 across the 25 of their papers we have counts for
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quant-ph2008★ 42 cited
XY model on the circle: diagonalization, spectrum, and forerunners of the quantum phase transition
A. De Pasquale, P. Facchi
We exactly diagonalize the finite-size XY model with periodic boundary conditions and analytically determine the ground state energy. We show that there are two types of fermions:…
quant-ph2008★ 33 cited
XX model on the circle
A. De Pasquale, G. Costantini, P. Facchi +3
We diagonalize the XX model with a finite number of spins and periodic boundary conditions. We solve for the ground state, focus on the rapidity of the convergence to the thermodyn…