Topological Order Following a Quantum Quench

Details Topological Order Following a Quantum Quench Topological Order Following a Quantum Quench

2009-09-03

arxiv.org/abs/0909.0752v2

Phys. Rev. A 80, 060302(R) (2009)

Physics

Quantum Physics

4 pages, 3 figures; published version (PRA Rapid Communication)

Scientific paper

10.1103/PhysRevA.80.060302

We determine the conditions under which topological order survives a rapid quantum quench. Specifically, we consider the case where a quantum spin system is prepared in the ground state of the Toric Code Model and, after the quench, it evolves with a Hamiltonian that does not support topological order. We provide analytical results supported by numerical evidence for a variety of quench Hamiltonians. The robustness of topological order under non-equilibrium situations is tested by studying the topological entropy and a novel dynamical measure, which makes use of the similarity between partial density matrices obtained from different topological sectors.

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