Topological Order Following a Quantum Quench

Understand

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.