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Critical phenomena in one dimension from a Bethe ansatz perspective

Guan, Xi-Wen

Description

This article briefly reviews recent theoretical developments in quantum critical phenomena in one-dimensional (1D) integrable quantum gases of cold atoms. We present a discussion on quantum phase transitions, universal thermodynamics, scaling functions and correlations for a few prototypical exactly solved models, such as the Lieb-Liniger Bose gas, the spin-1 Bose gas with antiferromagnetic spin-spin interaction, the two-component interacting Fermi gas as well as spin-3/2 Fermi gases. We...[Show more]

dc.contributor.authorGuan, Xi-Wen
dc.date.accessioned2015-12-13T22:31:23Z
dc.identifier.issn0217-9792
dc.identifier.urihttp://hdl.handle.net/1885/75228
dc.description.abstractThis article briefly reviews recent theoretical developments in quantum critical phenomena in one-dimensional (1D) integrable quantum gases of cold atoms. We present a discussion on quantum phase transitions, universal thermodynamics, scaling functions and correlations for a few prototypical exactly solved models, such as the Lieb-Liniger Bose gas, the spin-1 Bose gas with antiferromagnetic spin-spin interaction, the two-component interacting Fermi gas as well as spin-3/2 Fermi gases. We demonstrate that their corresponding Bethe ansatz solutions provide a precise way to understand quantum many-body physics, such as quantum criticality, Luttinger liquids (LLs), the Wilson ratio, Tan's Contact, etc. These theoretical developments give rise to a physical perspective using integrability for uncovering experimentally testable phenomena in systems of interacting bosonic and fermonic ultracold atoms confined to 1D.
dc.publisherWorld Scientific Publishing Company
dc.sourceInternational Journal of Modern Physics B
dc.titleCritical phenomena in one dimension from a Bethe ansatz perspective
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume28
dc.date.issued2014
local.identifier.absfor020100 - ASTRONOMICAL AND SPACE SCIENCES
local.identifier.ariespublicationU3488905xPUB4527
local.type.statusPublished Version
local.contributor.affiliationGuan, Xi-Wen, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue24
local.bibliographicCitation.startpage1430015/1
local.bibliographicCitation.lastpage39
local.identifier.doi10.1142/S0217979214300151
dc.date.updated2015-12-11T09:00:11Z
local.identifier.scopusID2-s2.0-84905638665
local.identifier.thomsonID000341996500001
CollectionsANU Research Publications

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