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On thermalization in Kitaev's 2D model

2008/10/25 by R. Alicki, M. Fannes, M. Horodecki · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1088/1751-8113/42/6/065303

published as J. Phys. A: Math. Theor. 42 (2009) 065303 · 26 pages

arxiv created 2008/10/25 · arxiv updated 2009/12/01

Abstract

The thermalization process of the 2D Kitaev model is studied within the Markovian weak coupling approximation. It is shown that its largest relaxation time is bounded from above by a constant independent of the system size and proportional to exp(2Δ/kT) where Δ is an energy gap over the 4-fold degenerate ground state. This means that the 2D Kitaev model is not an example of a memory, neither quantum nor classical.

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