Abstract: The topological phases of periodically driven, or Floquet systems, rely on a perfectly periodic modulation of system parameters in time. Even the smallest deviation from periodicity leads to decoherence, causing the boundary (end) states to leak into the system’s bulk. Here, we show that in one dimension this decay of topologically protected end states depends fundamentally on the nature of the bulk states: a dispersive bulk results in an exponential decay, while a localized bulk slows the decay down to a diffusive process. The localization can be due to disorder, which remarkably counteracts decoherence even when it breaks the symmetry responsible for the topological protection. We derive this result analytically, using a novel, discrete-time Floquet-Lindblad formalism and confirm our findings with the help of numerical simulations.
Time: Thursday, February 7, 2019. 2.30 pm
Location: Lecture Room, 1st Floor, School of Theoretical Physics, DIAS, 10 Burlington Road, Dublin 4
The Theroretical Physics theme for the 80th anniversary is
"Quantum, Inifinity and Beyond"
The events will tie in the main research topics of the School and draw on its rich history.
More on DIAS 2020 can be found here:
DIAS School of Theoretical Physics is one of the two founding Schools. It's first Director was the renowned Physicist Erwin Schrödinger, and the School can boast a number of other big names in Irish and International physics and mathematics.
On 5th February 1943, Nobel Prize-winning physicist, Prof Erwin Schrödinger, then Director of Theoretical Physics at DIAS, delivered the first of his renowned ‘What is Life?’ lectures. He delivered further lectures in his ‘What is Life?’ series over the following month.