Bulk detection of time-dependent topological transitions in quenched chiral models

• URL: http://arxiv.org/abs/2001.05960v2
• Date: Tue, 12 May 2020 14:09:27 GMT
• Title: Bulk detection of time-dependent topological transitions in quenched chiral models
• Authors: Alessio D'Errico, Francesco Di Colandrea, Raouf Barboza, Alexandre Dauphin, Maciej Lewenstein, Pietro Massignan, Lorenzo Marrucci and Filippo Cardano
• Abstract summary: We show that the winding number of the Hamiltonian eigenstates can be read-out by measuring the mean chiral displacement of a single-particle wavefunction. This implies that the mean chiral displacement can detect the winding number even when the underlying Hamiltonian is quenched between different topological phases.
• Score: 48.7576911714538
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The topology of one-dimensional chiral systems is captured by the winding number of the Hamiltonian eigenstates. Here we show that this invariant can be read-out by measuring the mean chiral displacement of a single-particle wavefunction that is connected to a fully localized one via a unitary and translational-invariant map. Remarkably, this implies that the mean chiral displacement can detect the winding number even when the underlying Hamiltonian is quenched between different topological phases. We confirm experimentally these results in a quantum walk of structured light.

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