Relaxation of the entanglement spectrum in quench dynamics of topological systems
arXiv:1610.00851 · doi:10.1088/1742-5468/aa79b3
Abstract
We study how the entanglement spectrum relaxes to its steady state in one-dimensional quadratic systems after a quantum quench. In particular we apply the saddle point expansion to the dimerized chains and 1-D p-wave superconductors. We find that the entanglement spectrum always exhibits a power-law relaxation superimposed with oscillations at certain characteristic angular frequencies. For the dimerized chains, we find that the exponent of the power-law decay is always . For 1-D p-wave superconductors, however, we find that depending on the initial and final Hamiltonian, the exponent can take value from a limited list of values. The smallest possible value is , which leads to a very slow convergence to its steady state value.
26 pages, 14 figures
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