Robustness of topologically protected edge states in quantum walk experiments with neutral atoms

@article{Groh2016RobustnessOT,
  title={Robustness of topologically protected edge states in quantum walk experiments with neutral atoms},
  author={Thorsten Groh and Stefan Brakhane and Wolfgang Alt and Dieter Meschede and J'anos K. Asb'oth and Andrea Alberti},
  journal={Physical Review A},
  year={2016},
  volume={94},
  pages={013620}
}
Discrete-time quantum walks allow Floquet topological insulator materials to be explored using controllable systems such as ultracold atoms in optical lattices. By numerical simulations, we study the robustness of topologically protected edge states in the presence of decoherence in one- and two-dimensional discrete-time quantum walks. We also develop a simple analytical model quantifying the robustness of these edge states against either spin or spatial dephasing, predicting an exponential… 

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References

SHOWING 1-10 OF 82 REFERENCES

Floquet topological insulator in semiconductor quantum wells

Topological phases of matter have captured our imagination over the past few years, with tantalizing properties such as robust edge modes and exotic non-Abelian excitations, and potential

Observation of topologically protected bound states in photonic quantum walks

  • T. KitagawaM. Broome Andrew G. White
  • Physics
    2011 Conference on Lasers and Electro-Optics Europe and 12th European Quantum Electronics Conference (CLEO EUROPE/EQEC)
  • 2011
The study of topological phases does not have to remain limited to static or quasi-static/adiabatic situations, and can be extended to periodically driven systems, which have recently been proposed to also exhibit topological behaviors.

Topological phases and delocalization of quantum walks in random environments

We investigate one-dimensional (1D) discrete time quantum walks (QWs) with spatially or temporally random defects as a consequence of interactions with random environments. We focus on the QWs with

Realistic time-reversal invariant topological insulators with neutral atoms.

An original method to synthesize a gauge field in the near field of an atom chip, which effectively mimics the effects of spin-orbit coupling and produces quantum spin-Hall states is introduced.

Exploring topological phases with quantum walks

The quantum walk was originally proposed as a quantum-mechanical analog of the classical random walk, and has since become a powerful tool in quantum information science. In this paper, we show that

Symmetries, topological phases, and bound states in the one-dimensional quantum walk

Discrete-time quantum walks have been shown to simulate all known topological phases in one and two dimensions. Being periodically driven quantum systems, their topological description, however, is

Topological Characterization of Periodically-Driven Quantum Systems

Topological properties of physical systems can lead to robust behaviors that are insensitive to microscopic details. Such topologically robust phenomena are not limited to static systems but can also

Floquet edge states with ultracold atoms

We describe an experimental setup for imaging topologically protected Floquet edge states using ultracold bosons in an optical lattice. Our setup involves a deep two-dimensional optical lattice with

Localization, delocalization, and topological transitions in disordered two-dimensional quantum walks

We investigate time-independent disorder on several two-dimensional discrete-time quantum walks. We find numerically that, contrary to claims in the literature, random onsite phase disorder,

Decoherence models for discrete-time quantum walks and their application to neutral atom experiments

We discuss decoherence in discrete-time quantum walks in terms of a phenomenological model that distinguishes spin and spatial decoherence. We identify the dominating mechanisms that affect
...