Topological transition of a non-Markovian dissipative quantum walk

@article{Ricottone2020TopologicalTO,
  title={Topological transition of a non-Markovian dissipative quantum walk},
  author={Alessandro Ricottone and Mark S. Rudner and William A. Coish},
  journal={Physical Review A},
  year={2020}
}
We extend non-Hermitian topological quantum walks on a Su-Schrieffer-Heeger (SSH) lattice [Phys. Rev. Lett. 102, 065703 (2009)] to the case of non-Markovian evolution. This non-Markovian model is established by coupling each unit cell in the SSH lattice to a reservoir formed by a quasicontinuum of levels. We find a topological transition in this model even in the case of non-Markovian evolution where the walker may visit the reservoir and return to the SSH lattice at a later time. The existence… 
1 Citations

Figures from this paper

Memory-critical dynamical buildup of phonon-dressed Majorana fermions
We investigate the dynamical interplay between topological state of matter and a non-Markovian dissipation, which gives rise to a new and crucial time scale into the system dynamics due to its

References

SHOWING 1-10 OF 60 REFERENCES
Rev
  • Mod. Phys. 89, 015006
  • 2017
Phys
  • Rev. Lett. 102, 065703
  • 2009
Phys
  • Rev. Lett. 103, 210401
  • 2009
Phys
  • Rev. B 97, 045106
  • 2018
Phys
  • Rev. B 95, 201407
  • 2017
Quantum Dissipative Systems
Fundamentals Survey of the Various Approaches Path Integral Description of Open Quantum Systems Imaginary-Time and Real-Time Approaches Influence Functional Method Phenomenological and Microscopic
Dynamics of the dissipative two-state system
This paper presents the results of a functional-integral approach to the dynamics of a two-state system coupled to a dissipative environment. It is primarily an extended account of results obtained
Rev
  • Mod. Phys. 59, 1
  • 1987
Topological transition in a non-Hermitian quantum walk.
TLDR
It is found that the mean displacement of a particle initially localized on one of the nondecaying sites can be expressed in terms of the winding number, and is therefore quantized as an integer, changing from zero to one at the critical point.
Environment-Assisted Quantum Transport in a 10-qubit Network.
TLDR
The approach represents a controlled and scalable way to investigate quantum transport in many-body networks under static disorder and dynamic noise and shows that dephasing characterized by non-Markovian noise can maintain coherences longer than white noise dephase, with a strong influence of the spectral structure on the transport efficiency.
...
1
2
3
4
5
...