Topological Properties of Photonic Bands with Synthetic Momentum
- URL: http://arxiv.org/abs/2111.02843v4
- Date: Thu, 25 Nov 2021 15:44:17 GMT
- Title: Topological Properties of Photonic Bands with Synthetic Momentum
- Authors: H. C. Nguyen, Dung Xuan Nguyen, Thibaud Louvet, Xavier Letartre,
Pierre Viktorovitch, Hai Son Nguyen
- Abstract summary: We investigate topological aspects of photonic crystal bands in a hybrid momentum space consisting of a genuine momentum and a synthetic one.
Remarkably, the unconventional behaviour of the synthetic momentum allows for the existence of non-trivial topological phases.
Our results pave the way to the paradigm of rich topological phenomena of photonic systems with hybrid momentum space.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate topological aspects of photonic crystal bands in a hybrid
momentum space consisting of a genuine momentum and a synthetic one. The system
is realised by a one-dimensional system of bilayer photonic grating, with the
translational displacement between the two layers naturally taking the role of
the synthetic momentum. Remarkably, the unconventional behaviour of the
synthetic momentum allows for the existence of non-trivial topological phases
of the system associated with a non-zero total Berry flux without breaking the
time-reversal symmetry. Moreover, the resulting band structure in the hybrid
momentum space realises the interesting dynamics of merging and splitting of
twin Dirac points, as well as gap opening as the system parameters vary.
Introducing a simple topological argument, we explain all the changes of the
total Berry flux associated with the topological phase transitions. As a
signature of different topological phases, edge states at their interface are
calculated and analysed in detail. The optomechanical nature of the system also
allows for the investigation of the adiabatic evolution of the edge states. Our
results pave the way to the paradigm of rich topological phenomena of photonic
systems with hybrid momentum space.
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