Abstract:
We explore the emergence of topological phenomena in an inhomogeneous, incommensurate offdiagonal Aubry-André-Harper model by creating two distinct nontrivial topological phases. The energy spectrum reveals the presence of topologically protected boundary states localized at the phase boundaries. By analyzing the probability distribution, we demonstrate the localization property of the quantum walker in this system. Additionally, we investigate the time evolution of continuous-time quantum walks for a single quantum particle both at the phase boundaries and in the bulk of the topological domains. Our findings indicate that the localization of the quantum particle at the phase boundaries is influenced by the parameter ?, similar to the behaviour of the topologically protected boundary states. In the bulk region, the quantum particle exhibits spreading away from its initial position, but it experiences a repulsive effect near the topological phase boundaries. Interestingly, the rate of spread of the quantum walk is inversely related to the modulation strength. This work presents an alternative approach to simulate and manipulate topological phenomena using the Aubry-AndréHarper model. The modulation of the hopping amplitude serves as a control knob to manipulate the transport properties of the topologically protected boundary states. Our results offer insights into the dynamics and behaviour of quantum walkers in systems with nontrivial topological phases, opening up avenues for further exploration and potential applications.
Page(s):
349-349
DOI:
DOI not available
Published:
Journal: Abstract Book on International Conference on Food and Applied Sciences (ICFAS-23) 3-5 August 23, Volume: 0, Issue: 0, Year: 2023
Keywords:
probability distribution
,
Localization Topological Phenomena
,
Quantum Walks
,
AubryAndréHarper Model