# 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…

## 53 Citations

### Observation of Topologically Protected Edge States in a Photonic Two-Dimensional Quantum Walk.

- PhysicsPhysical review letters
- 2018

This work employs discrete-time quantum walks to investigate a nontrivial topological effect unique to a two-dimensional periodically driven system: chiral edge states can exist at the interface of Floquet insulators whose Chern numbers vanish.

### Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons

- PhysicsNature communications
- 2017

This work proposes and validate experimentally a method to detect topological properties in the bulk of one-dimensional chiral systems and proves the robustness of the measure by introducing dynamical disorder in the system.

### Eigenvalue measurement of topologically protected edge states in split-step quantum walks

- PhysicsNew Journal of Physics
- 2019

We study topological phenomena of quantum walks by implementing a novel protocol that extends the range of accessible properties to the eigenvalues of the walk operator. To this end, we…

### Second-order topological insulator in a coinless discrete-time quantum walk

- Physics
- 2020

Higher-order topological insulators not only exhibit the exotic bulk-boundary correspondence principle but also have an important application in quantum computing. However, it seems they have not…

### Creating Floquet Chern insulators with magnetic quantum walks

- Physics
- 2018

We propose a realistic scheme to construct topological insulators with nonvanishing Chern numbers using spin-1/2 particles carrying out a discrete-time quantum walk in a two-dimensional lattice. By…

### Controllable simulation of topological phases and edge states with quantum walk

- Materials Science
- 2020

### Topological bound states of a quantum walk with cold atoms

- Physics
- 2016

We suggest a method for engineering a quantum walk, with cold atoms as walkers, which presents topologically nontrivial properties. We derive the phase diagram, and show that we are able to produce a…

### Topological quantum walks in cavity-based quantum networks

- PhysicsQuantum Information Processing
- 2020

We present a protocol to implement discrete-time quantum walks and simulate topological insulator phases in cavity-based quantum networks, where a single photon is the quantum walker and multiple…

### Topological quantum walks in cavity-based quantum networks

- PhysicsQuantum Inf. Process.
- 2020

This work shows that both the topological boundary states and topological phase transitions can be directly observed via measuring the final photonic density distribution and also demonstrates that these topological signatures are quite robust to practical imperfections.

### Eigenvaluemeasurement of topologically protected edge states in split-step

- Physics
- 2019

We study topological phenomena of quantumwalks by implementing a novel protocol that extends the range of accessible properties to the eigenvalues of thewalk operator. To this end, we experimentally…

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