On thermalization in Kitaev's 2D model

Details On thermalization in Kitaev's 2D model On thermalization in Kitaev's 2D model

2008-10-25

arxiv.org/abs/0810.4584v1

J. Phys. A: Math. Theor. 42 (2009) 065303

Physics

Quantum Physics

26 pages

Scientific paper

10.1088/1751-8113/42/6/065303

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 $\exp(2\Delta/kT)$ where $\Delta$ 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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