The adiabatic quantum evolution of the Lipkin-Meshkov-Glick (LMG) model across its quantum critical point is studied. The dynamics is realized by linearly switching the transverse field from an initial large value towards zero. We concentrate our attention on the residual energy after the quench in order to estimate the level of diabaticity of the evolution. We discuss a Landau-Zener approximation of the finite size LMG model, that is successful in reproducing the behavior of the residual energy as function of the transition rate in most of the regimes considered. The system proposed is a paradigm of infinite-range interaction or high-dimensional models.
Quantum annealing of an infinite-range transverse-field Ising model / Caneva, T.; Fazio, R.; Santoro, G. E.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 143:1(2009), pp. 1-10. (Intervento presentato al convegno INTERNATIONAL WORKSHOP ON STATISTICAL-MECHANICAL INFORMATICS 2008 tenutosi a Sendai, Japan nel 14-17 Sept. 2008) [10.1088/1742-6596/143/1/012004].
Quantum annealing of an infinite-range transverse-field Ising model
Santoro, G. E.
2009-01-01
Abstract
The adiabatic quantum evolution of the Lipkin-Meshkov-Glick (LMG) model across its quantum critical point is studied. The dynamics is realized by linearly switching the transverse field from an initial large value towards zero. We concentrate our attention on the residual energy after the quench in order to estimate the level of diabaticity of the evolution. We discuss a Landau-Zener approximation of the finite size LMG model, that is successful in reproducing the behavior of the residual energy as function of the transition rate in most of the regimes considered. The system proposed is a paradigm of infinite-range interaction or high-dimensional models.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
