Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction
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Noschang Kuhn, Carlos; Guan, Xi-Wen; Foerster, Angela; Batchelor, Murray
Description
Using the thermodynamic Bethe ansatz equations we study the quantum phase diagram, thermodynamics, and criticality of one-dimensional (1D) spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions. We analytically derive a high-precision equation of state from which the Tomonaga-Luttinger-liquid physics and quantum critical behavior of the system are computed. We obtain explicit forms for the scaling functions near the critical points yielding the...[Show more]
dc.contributor.author | Noschang Kuhn, Carlos | |
---|---|---|
dc.contributor.author | Guan, Xi-Wen | |
dc.contributor.author | Foerster, Angela | |
dc.contributor.author | Batchelor, Murray | |
dc.date.accessioned | 2015-12-10T23:02:55Z | |
dc.identifier.issn | 1050-2947 | |
dc.identifier.uri | http://hdl.handle.net/1885/61957 | |
dc.description.abstract | Using the thermodynamic Bethe ansatz equations we study the quantum phase diagram, thermodynamics, and criticality of one-dimensional (1D) spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions. We analytically derive a high-precision equation of state from which the Tomonaga-Luttinger-liquid physics and quantum critical behavior of the system are computed. We obtain explicit forms for the scaling functions near the critical points yielding the dynamical exponent z=2 and correlation length exponent ν=1/2 for the quantum phase transitions driven by either the chemical potential or the magnetic field. Consequently, we further demonstrate that quantum criticality of the system can be mapped out from the finite temperature density and magnetization profiles of the 1D trapped gas. Our results provide the physical origin of quantum criticality in a 1D many-body system beyond the Tomonaga-Luttinger-liquid description. | |
dc.publisher | American Physical Society | |
dc.rights | Author/s retain copyright | |
dc.source | Physical Review A: Atomic, Molecular and Optical Physics | |
dc.subject | Keywords: Antiferromagnetics; Correlation lengths; Critical points; Dynamical exponents; Equation of state; Explicit form; Finite temperatures; High-precision; Magnetization profile; Many-body systems; Quantum critical behavior; Quantum criticality; Quantum phase d | |
dc.title | Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.identifier.citationvolume | 85 | |
dc.date.issued | 2012 | |
local.identifier.absfor | 020502 - Lasers and Quantum Electronics | |
local.identifier.absfor | 020201 - Atomic and Molecular Physics | |
local.identifier.ariespublication | f5625xPUB654 | |
local.type.status | Published Version | |
local.contributor.affiliation | Noschang Kuhn, Carlos, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Guan, Xi-Wen, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Foerster, Angela, Instituto de Fisica | |
local.contributor.affiliation | Batchelor, Murray, College of Physical and Mathematical Sciences, ANU | |
local.bibliographicCitation.issue | 4 | |
local.identifier.doi | 10.1103/PhysRevA.85.043606 | |
local.identifier.absseo | 970102 - Expanding Knowledge in the Physical Sciences | |
dc.date.updated | 2016-02-24T09:30:03Z | |
local.identifier.scopusID | 2-s2.0-84859805744 | |
local.identifier.thomsonID | 000302600200013 | |
dcterms.accessRights | Open Access | |
Collections | ANU Research Publications |
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02_Noschang Kuhn_Universality_class_of_quantum_2012.pdf | 915.85 kB | Adobe PDF |
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