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Author Caneva, Tommaso ♦ Fazio, Rosario ♦ Santoro, Giuseppe E.
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-06-27
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics
Subject Keyword Condensed Matter - Statistical Mechanics ♦ Quantum Physics ♦ physics:cond-mat ♦ physics:quant-ph
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 and considering different transition rates. 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 the most part of the regimes considered. We also support our description through the analysis of the entanglement entropy of the evolved state. The system proposed is a paradigm of infinite-range interaction or high-dimensional models.
Description Reference: Phys. Rev. B 78, 104426 (2008)
Educational Use Research
Learning Resource Type Article
Page Count 8


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