# Simulation of the multiphase configuration and phase transitions with quantum walks utilizing a step-dependent coin

@article{Panahiyan2019SimulationOT, title={Simulation of the multiphase configuration and phase transitions with quantum walks utilizing a step-dependent coin}, author={S. Panahiyan and Stephan Fritzsche}, journal={Physical Review A}, year={2019} }

Quantum walks are versatile simulators of topological phases and phase transitions as observed in condensed matter physics. Here, we utilize a step dependent coin in quantum walks and investigate what topological phases we can simulate with it, their topological invariants, bound states and possibility of phase transitions. These quantum walks simulate non-trivial phases characterized by topological invariants (winding number) $\pm 1$ which are similar to the ones observed in topological…

## 6 Citations

Controllable simulation of topological phases and edge states with quantum walk

- Materials Science
- 2020

Fidelity susceptibility near topological phase transitions in quantum walks

- Physics
- 2020

The notion of fidelity susceptibility, introduced within the context of quantum metric tensor, has been an important quantity to characterize the criticality near quantum phase transitions. We…

Toward simulation of topological phenomena with one-, two-, and three-dimensional quantum walks

- Physics
- 2020

To further enrich the simulation of the topological phenomenas, this work includes step-dependent coins in the evolution operators of the quantum walks and introduces dynamicality as a feature to simulated topological phases and boundary states.

Spectral magnetization ratchets with discrete-time quantum walks

- PhysicsPhysical Review A
- 2020

We predict and theoretically study in detail the ratchet effect for the spectral magnetization of periodic discrete time quantum walks (DTQWs) --- a repetition of a sequence of $m$ different DTQWs.…

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