Topological transition of a non-Markovian dissipative quantum walk

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Topological transition of a non-Markovian dissipative quantum walk. / Ricottone, A.; Rudner, M. S.; Coish, W. A.

I: Physical Review A - Atomic, Molecular, and Optical Physics, Bind 102, Nr. 1, 012215, 07.2020.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Ricottone, A, Rudner, MS & Coish, WA 2020, 'Topological transition of a non-Markovian dissipative quantum walk', Physical Review A - Atomic, Molecular, and Optical Physics, bind 102, nr. 1, 012215. https://doi.org/10.1103/PhysRevA.102.012215

APA

Ricottone, A., Rudner, M. S., & Coish, W. A. (2020). Topological transition of a non-Markovian dissipative quantum walk. Physical Review A - Atomic, Molecular, and Optical Physics, 102(1), [012215]. https://doi.org/10.1103/PhysRevA.102.012215

Vancouver

Ricottone A, Rudner MS, Coish WA. Topological transition of a non-Markovian dissipative quantum walk. Physical Review A - Atomic, Molecular, and Optical Physics. 2020 jul.;102(1). 012215. https://doi.org/10.1103/PhysRevA.102.012215

Author

Ricottone, A. ; Rudner, M. S. ; Coish, W. A. / Topological transition of a non-Markovian dissipative quantum walk. I: Physical Review A - Atomic, Molecular, and Optical Physics. 2020 ; Bind 102, Nr. 1.

Bibtex

@article{0ed5bf6adb2949249fc2d4959e9e5dc0,
title = "Topological transition of a non-Markovian dissipative quantum walk",
abstract = "We extend non-Hermitian topological quantum walks on a Su-Schrieffer-Heeger (SSH) lattice [Phys. Rev. Lett. 102, 065703 (2009)PRLTAO0031-900710.1103/PhysRevLett.102.065703] 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 of a topological transition does, however, depend on the low-frequency properties of the reservoir, characterized by a spectral density J(ϵ)|ϵ|α. In particular, we find a robust topological transition for a sub-Ohmic (α<1) and Ohmic (α=1) reservoir, but no topological transition for a super-Ohmic (α>1) reservoir. This behavior is directly related to the well-known localization transition for the spin-boson model. We confirm the presence of non-Markovian dynamics by explicitly evaluating a measure of Markovianity for this model. ",
author = "A. Ricottone and Rudner, {M. S.} and Coish, {W. A.}",
year = "2020",
month = jul,
doi = "10.1103/PhysRevA.102.012215",
language = "English",
volume = "102",
journal = "Physical Review A - Atomic, Molecular, and Optical Physics",
issn = "1050-2947",
publisher = "American Physical Society",
number = "1",

}

RIS

TY - JOUR

T1 - Topological transition of a non-Markovian dissipative quantum walk

AU - Ricottone, A.

AU - Rudner, M. S.

AU - Coish, W. A.

PY - 2020/7

Y1 - 2020/7

N2 - We extend non-Hermitian topological quantum walks on a Su-Schrieffer-Heeger (SSH) lattice [Phys. Rev. Lett. 102, 065703 (2009)PRLTAO0031-900710.1103/PhysRevLett.102.065703] 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 of a topological transition does, however, depend on the low-frequency properties of the reservoir, characterized by a spectral density J(ϵ)|ϵ|α. In particular, we find a robust topological transition for a sub-Ohmic (α<1) and Ohmic (α=1) reservoir, but no topological transition for a super-Ohmic (α>1) reservoir. This behavior is directly related to the well-known localization transition for the spin-boson model. We confirm the presence of non-Markovian dynamics by explicitly evaluating a measure of Markovianity for this model.

AB - We extend non-Hermitian topological quantum walks on a Su-Schrieffer-Heeger (SSH) lattice [Phys. Rev. Lett. 102, 065703 (2009)PRLTAO0031-900710.1103/PhysRevLett.102.065703] 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 of a topological transition does, however, depend on the low-frequency properties of the reservoir, characterized by a spectral density J(ϵ)|ϵ|α. In particular, we find a robust topological transition for a sub-Ohmic (α<1) and Ohmic (α=1) reservoir, but no topological transition for a super-Ohmic (α>1) reservoir. This behavior is directly related to the well-known localization transition for the spin-boson model. We confirm the presence of non-Markovian dynamics by explicitly evaluating a measure of Markovianity for this model.

UR - http://www.scopus.com/inward/record.url?scp=85088440810&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.102.012215

DO - 10.1103/PhysRevA.102.012215

M3 - Journal article

AN - SCOPUS:85088440810

VL - 102

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 1

M1 - 012215

ER -

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