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The importance of being integrable: Out of the paper, into the lab

Batchelor, Murray

Description

The scattering matrix (S-matrix), relating the initial and final states of a physical system undergoing a scattering process, is a fundamental object in quantum mechanics and quantum field theory. The study of factorized S-matrices, in which many-body scattering factorizes into a product of two-body terms to yield an integrable model, has long been considered the domain of mathematical physics. Many beautiful results have been obtained over several decades for integrable models of this kind,...[Show more]

dc.contributor.authorBatchelor, Murray
dc.date.accessioned2015-12-13T22:17:35Z
dc.identifier.issn0217-9792
dc.identifier.urihttp://hdl.handle.net/1885/71225
dc.description.abstractThe scattering matrix (S-matrix), relating the initial and final states of a physical system undergoing a scattering process, is a fundamental object in quantum mechanics and quantum field theory. The study of factorized S-matrices, in which many-body scattering factorizes into a product of two-body terms to yield an integrable model, has long been considered the domain of mathematical physics. Many beautiful results have been obtained over several decades for integrable models of this kind, with far reaching implications in both mathematics and theoretical physics. The viewpoint that these were only toy models changed dramatically with brilliant experimental advances in realizing low-dimensional quantum many-body systems in the lab. These recent experiments involve both the traditional setting of condensed matter physics and the trapping and cooling of atoms in optical lattices to engineer and study quasi-one-dimensional systems. In some cases the quantum physics of one-dimensional systems is arguably more interesting than their three-dimensional counterparts, because the effect of interactions is more pronounced when atoms are confined to one dimension. This article provides a brief overview of these ongoing developments, which highlight the fundamental importance of integrability.
dc.publisherWorld Scientific Publishing Company
dc.sourceInternational Journal of Modern Physics B
dc.titleThe importance of being integrable: Out of the paper, into the lab
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume28
dc.date.issued2014
local.identifier.absfor020699 - Quantum Physics not elsewhere classified
local.identifier.ariespublicationU3488905xPUB2616
local.type.statusPublished Version
local.contributor.affiliationBatchelor, Murray, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue18
local.bibliographicCitation.startpage13
local.identifier.doi10.1142/S0217979214300102
dc.date.updated2015-12-11T07:35:25Z
local.identifier.scopusID2-s2.0-84902121051
local.identifier.thomsonID000336961000001
CollectionsANU Research Publications

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