A Lieb-Robinson bound for quantum spin chains with strong on-site impurities

Research output: Contribution to journal › Journal article › peer-review

Standard

A Lieb-Robinson bound for quantum spin chains with strong on-site impurities. / Gebert, Martin; Moon, Alvin; Nachtergaele, Bruno.

In: Reviews in Mathematical Physics, Vol. 34, No. 4, 2250007 , 2022.

Research output: Contribution to journal › Journal article › peer-review

Harvard

Gebert, M, Moon, A & Nachtergaele, B 2022, 'A Lieb-Robinson bound for quantum spin chains with strong on-site impurities', Reviews in Mathematical Physics, vol. 34, no. 4, 2250007 . https://doi.org/10.1142/S0129055X22500076

APA

Gebert, M., Moon, A., & Nachtergaele, B. (2022). A Lieb-Robinson bound for quantum spin chains with strong on-site impurities. Reviews in Mathematical Physics, 34(4), [2250007 ]. https://doi.org/10.1142/S0129055X22500076

Vancouver

Gebert M, Moon A, Nachtergaele B. A Lieb-Robinson bound for quantum spin chains with strong on-site impurities. Reviews in Mathematical Physics. 2022;34(4). 2250007 . https://doi.org/10.1142/S0129055X22500076

Author

Gebert, Martin ; Moon, Alvin ; Nachtergaele, Bruno. / A Lieb-Robinson bound for quantum spin chains with strong on-site impurities. In: Reviews in Mathematical Physics. 2022 ; Vol. 34, No. 4.

Bibtex

@article{04556b9f7d504a00be605f513403f0e7,
title = "A Lieb-Robinson bound for quantum spin chains with strong on-site impurities",
abstract = " We consider a quantum spin chain with nearest neighbor interactions and sparsely distributed on-site impurities. We prove commutator bounds for its Heisenberg dynamics which incorporate the coupling strengths of the impurities. The impurities are assumed to satisfy a minimum spacing, and each impurity has a non-degenerate spectrum. Our results are proven in a broadly applicable setting, both in finite volume and in thermodynamic limit. We apply our results to improve Lieb-Robinson bounds for the Heisenberg spin chain with a random, sparse transverse field drawn from a heavy-tailed distribution. ",
keywords = "math-ph, math.MP",
author = "Martin Gebert and Alvin Moon and Bruno Nachtergaele",
note = "16 pages",
year = "2022",
doi = "10.1142/S0129055X22500076",
language = "English",
volume = "34",
journal = "Reviews in Mathematical Physics",
issn = "0129-055X",
publisher = "World Scientific Publishing Co. Pte. Ltd.",
number = "4",

}

RIS

TY - JOUR

T1 - A Lieb-Robinson bound for quantum spin chains with strong on-site impurities

AU - Gebert, Martin

AU - Moon, Alvin

AU - Nachtergaele, Bruno

N1 - 16 pages

PY - 2022

Y1 - 2022

N2 - We consider a quantum spin chain with nearest neighbor interactions and sparsely distributed on-site impurities. We prove commutator bounds for its Heisenberg dynamics which incorporate the coupling strengths of the impurities. The impurities are assumed to satisfy a minimum spacing, and each impurity has a non-degenerate spectrum. Our results are proven in a broadly applicable setting, both in finite volume and in thermodynamic limit. We apply our results to improve Lieb-Robinson bounds for the Heisenberg spin chain with a random, sparse transverse field drawn from a heavy-tailed distribution.

AB - We consider a quantum spin chain with nearest neighbor interactions and sparsely distributed on-site impurities. We prove commutator bounds for its Heisenberg dynamics which incorporate the coupling strengths of the impurities. The impurities are assumed to satisfy a minimum spacing, and each impurity has a non-degenerate spectrum. Our results are proven in a broadly applicable setting, both in finite volume and in thermodynamic limit. We apply our results to improve Lieb-Robinson bounds for the Heisenberg spin chain with a random, sparse transverse field drawn from a heavy-tailed distribution.

KW - math-ph

KW - math.MP

U2 - 10.1142/S0129055X22500076

DO - 10.1142/S0129055X22500076

M3 - Journal article

VL - 34

JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

SN - 0129-055X

IS - 4

M1 - 2250007

ER -

ID: 259525938