Quantum topological phase transition at the microscopic level

Claudio Castelnovo; Claudio Chamon

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Quantum topological phase transition at the microscopic level

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摘要

We study a quantum phase transition between a phase which is topologically ordered and one which is not. We focus on a spin model, an extension of the toric code, for which we obtain the exact ground state for all values of the coupling constant that takes the system across the phase transition. We compute the entanglement and the topological entropy of the system as a function of this coupling constant and show that the topological entropy remains constant all the way up to the critical point and jumps to zero beyond it. Despite the jump in the topological entropy, the transition is second order as detected via local observables.

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《Physical review, B. Condensed matter and materials physics》 |2008年第5期|054433.1-054433.14|共9页
作者
Claudio Castelnovo; Claudio Chamon;
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作者单位

Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford, 0X1 3NP, United Kingdom;

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正文语种英语
中图分类固体物理学;
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lattice theory and statistics (ising; potts; etc.); phases: geometric; dynamic or topological;

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Quantum topological phase transition at the microscopic level

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