On thermalization in Kitaev's 2D model

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

26 pages

References in corpus (5)

• Autocorrelations and Thermal Fragility of Anyonic Loops in Topologically Quantum Ordered Systems
• A statistical mechanics view on Kitaev's proposal for quantum memories
• The Non-Equilibrium Reliability of Quantum Memories
• Can one build a quantum hard drive? A no-go theorem for storing quantum information in equilibrium systems
• Decay of fidelity in terms of correlation functions

Cited by in corpus (2)

• Error Threshold for Color Codes and Random 3-Body Ising Models
• Simulations of quantum double models