Quantum quenches in the Ising chain exhibit qualitatively distinct out-of-equilibrium dynamics when crossing continuous versus first-order quantum transitions depending on the transverse field strength.
Niemeijer, Some exact calculations on a chain of spins 1/2, Physica36, 377 (1967); Some exact calculations on a chain of spins 1/2 II, Physica39, 313 (1968)
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Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models
Quantum quenches in the Ising chain exhibit qualitatively distinct out-of-equilibrium dynamics when crossing continuous versus first-order quantum transitions depending on the transverse field strength.