August 30, 2021 to September 3, 2021
University of Innsbruck
Europe/Zurich timezone

【145】Quantised topological invariants and topological pumping in a one-dimensional open quantum system

Sep 2, 2021, 3:45 PM
Room A

Room A

Talk Condensed Matter Physics (KOND) Condensed Matter Physics


Paolo Molignini (University of Cambridge)


We employ the Ensemble Geometric Phase (EGP) - a generalisation of the Zak phase to mixed states - to analyse the topology of an open Su-Schrieffer-Heeger model involving both unitary Hamiltonian dynamics and dissipative coupling. For dissipation described by the Lindblad formalism, we discover regimes where the EGP is quantised to zero or pi, and relate the quantisation to the existence of an inversion symmetry. Furthermore, we devise topological charge pumping protocols by sequentially tuning hopping and system-bath couplings and realising an interplay between unitary dynamics and dissipation. We investigate the fate of this quantisation to situations of finite temperature through the Redfield master equation.

Primary authors

Prof. Nigel Cooper (University of Cambridge) Paolo Molignini (University of Cambridge)

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