Engineering of topological state transfer and topological beam splitter
in an even-size Su-Schrieffer-Heeger chain
- URL: http://arxiv.org/abs/2007.13395v1
- Date: Mon, 27 Jul 2020 09:21:51 GMT
- Title: Engineering of topological state transfer and topological beam splitter
in an even-size Su-Schrieffer-Heeger chain
- Authors: Lu Qi, Guo-Li Wang, Shutian Liu, Shou Zhang, and Hong-Fu Wang
- Abstract summary: A new type of quantum optical device is proposed based on the circuit quantum electrodynamic lattice.
We show that the staggered periodic next-nearest neighbor hoppings can also separate the initial mixed edge states.
Our scheme opens up a new way for the realization of topological quantum information processing.
- Score: 9.357940136550246
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The usual Su-Schrieffer-Heeger model with an even number of lattice sites
possesses two degenerate zero energy modes. The degeneracy of the zero energy
modes leads to the mixing between the topological left and right edge states,
which makes it difficult to implement the state transfer via topological edge
channel. Here, enlightened by the Rice-Male topological pumping, we find that
the staggered periodic next-nearest neighbor hoppings can also separate the
initial mixed edge states, which ensures the state transfer between topological
left and right edge states. Significantly, we construct an unique topological
state transfer channel by introducing the staggered periodic on-site potentials
and the periodic next-nearest neighbor hoppings added only on the odd sites
simultaneously, and find that the state initially prepared at the last site can
be transfered to the first two sites with the same probability distribution.
This special topological state transfer channel is expected to realize a
topological beam splitter, whose function is to make the initial photon at one
position appear at two different positions with the same probability. Further,
we demonstrate the feasibility of implementing the topological beam splitter
based on the circuit quantum electrodynamic lattice. Our scheme opens up a new
way for the realization of topological quantum information processing and
provides a new path towards the engineering of new type of quantum optical
device.
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