Journal Article

FZJ-2019-04592

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Duality, supersymmetry and non-conservative random walks

Belitsky, V. (Corresponding author) ; Schütz, G. M.FZJ*

2019
IOP Publ. Bristol

This record in other databases:    

Please use a persistent id in citations: doi:10.1088/1742-5468/ab14d6

Abstract: We derive a probabilistic interpretation of the observation that the quantum XY chain is supersymmetric in the sense that the Hamiltonian commutes with the generators of a subalgebra of the universal enveloping algebra of the Lie superalgebra and its deformations. The XY chain is shown to be the generator of a Markov process that describes classical vicious random walkers that annihilate immediately when they arrive on the same site, while new random walkers are created at neighbouring sites. The supersymmetry leads to a probabilistic self-duality relation and a duality between the random walk model with an even and odd number of particles, respectively.

---

Contributing Institute(s):

1. Theorie der Weichen Materie und Biophysik (ICS-2)

Research Program(s):

1. 551 - Functional Macromolecules and Complexes (POF3-551) (POF3-551)

Appears in the scientific report 2019

---

Database coverage:
; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; IF < 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

---