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

  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},
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… 
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