Two-dimensional O(3) model at nonzero density: From dual lattice simulations to repulsive bosons

doi:10.1103/PhysRevD.94.114503

Title: Two-dimensional O(3) model at nonzero density: From dual lattice simulations to repulsive bosons

Authors:: Bruckmann, Falk; Gattringer, Christof; Kloiber, Thomas; Sulejmanpasic, Tin

Publication Date:: 2016-12-02

Sponsoring Org.:: USDOE

OSTI Identifier:: 1334218

Grant/Contract Number:: FG02-03ER41260

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 94 Journal Issue: 11; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Bruckmann, Falk, Gattringer, Christof, Kloiber, Thomas, and Sulejmanpasic, Tin. Two-dimensional O(3) model at nonzero density: From dual lattice simulations to repulsive bosons.  United States: N. p., 2016. 
        Web.  doi:10.1103/PhysRevD.94.114503.

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                    Bruckmann, Falk, Gattringer, Christof, Kloiber, Thomas, & Sulejmanpasic, Tin. Two-dimensional O(3) model at nonzero density: From dual lattice simulations to repulsive bosons.  United States.  doi:10.1103/PhysRevD.94.114503.

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                    Bruckmann, Falk, Gattringer, Christof, Kloiber, Thomas, and Sulejmanpasic, Tin. Fri .  
        "Two-dimensional O(3) model at nonzero density: From dual lattice simulations to repulsive bosons".  United States.  doi:10.1103/PhysRevD.94.114503.

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@article{osti_1334218,

  title        = {Two-dimensional O(3) model at nonzero density: From dual lattice simulations to repulsive bosons},

  author       = {Bruckmann, Falk and Gattringer, Christof and Kloiber, Thomas and Sulejmanpasic, Tin},

  abstractNote = {},

  doi          = {10.1103/PhysRevD.94.114503},

  journal      = {Physical Review D},

  number       = 11,

  volume       = 94,

  place        = {United States},

  year         = {2016},

  month        = {12}

}

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DOI: 10.1103/PhysRevD.94.114503

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Works referenced in this record:

Thermodynamics of a One‐Dimensional System of Bosons with Repulsive Delta‐Function Interaction
journal, July 1969

Yang, C. N.; Yang, C. P.
Journal of Mathematical Physics, Vol. 10, Issue 7
DOI: 10.1063/1.1664947

Theory of dynamic critical phenomena
journal, July 1977

Hohenberg, P. C.; Halperin, B. I.
Reviews of Modern Physics, Vol. 49, Issue 3
DOI: 10.1103/RevModPhys.49.435

Finite size effects in the presence of a chemical potential: A study in the classical nonlinear $O (2)$ sigma model
journal, June 2010

Banerjee, Debasish; Chandrasekharan, Shailesh
Physical Review D, Vol. 81, Issue 12
DOI: 10.1103/PhysRevD.81.125007

Monte Carlo estimates of the mass gap of the O(2) and O(3) spin models in 1+1 dimensions
journal, May 1982

Fox, G.; Gupta, R.; Martin, O.
Nuclear Physics B, Vol. 205, Issue 2
DOI: 10.1016/0550-3213(82)90384-4

Quantum phase transitions of interacting bosons and the supersolid phase
journal, December 1995

van Otterlo, Anne; Wagenblast, Karl-Heinz; Baltin, Reinhard
Physical Review B, Vol. 52, Issue 22
DOI: 10.1103/PhysRevB.52.16176

Resurgence and trans-series in Quantum Field Theory: the $\mathbb{C}{{\mathbb{P}}^{N-1 }}$ model
journal, November 2012

Dunne, Gerald V.; Ünsal, Mithat
Journal of High Energy Physics, Vol. 2012, Issue 11
DOI: 10.1007/JHEP11(2012)170

Boson localization and the superfluid-insulator transition
journal, July 1989

Fisher, Matthew P. A.; Weichman, Peter B.; Grinstein, G.
Physical Review B, Vol. 40, Issue 1
DOI: 10.1103/PhysRevB.40.546

Nonlinear sigma models at nonzero chemical potential: Breaking up instantons and the phase diagram
journal, November 2014

Bruckmann, Falk; Sulejmanpasic, Tin
Physical Review D, Vol. 90, Issue 10
DOI: 10.1103/PhysRevD.90.105010

Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
journal, May 1963

Lieb, Elliott H.; Liniger, Werner
Physical Review, Vol. 130, Issue 4
DOI: 10.1103/PhysRev.130.1605

Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension
journal, November 1960

Girardeau, M.
Journal of Mathematical Physics, Vol. 1, Issue 6
DOI: 10.1063/1.1703687

Lattice QCD with fermions at strong coupling: A dimer system
journal, December 1984

Rossi, Pietro; Wolff, Ulli
Nuclear Physics B, Vol. 248, Issue 1
DOI: 10.1016/0550-3213(84)90589-3

Progress towards quantum simulating the classical $O (2)$ model
journal, December 2014

Zou, Haiyuan; Liu, Yuzhi; Lai, Chen-Yen
Physical Review A, Vol. 90, Issue 6
DOI: 10.1103/PhysRevA.90.063603

Corrigendum to “Dual lattice representations for O(N) and CP(N− 1) models with a chemical potential” [Phys. Lett. B 749 (2015) 495–501]
journal, December 2015

Bruckmann, Falk; Gattringer, Christof; Kloiber, Thomas
Physics Letters B, Vol. 751
DOI: 10.1016/j.physletb.2015.10.033

Resurgence in Quantum Field Theory: Nonperturbative Effects in the Principal Chiral Model
journal, January 2014

Cherman, Aleksey; Dorigoni, Daniele; Dunne, Gerald V.
Physical Review Letters, Vol. 112, Issue 2
DOI: 10.1103/PhysRevLett.112.021601

The exact mass gap of the O(3) and O(4) non-linear σ-models in d = 2
journal, August 1990

Hasenfratz, P.; Maggiore, M.; Niedermayer, F.
Physics Letters B, Vol. 245, Issue 3-4
DOI: 10.1016/0370-2693(90)90685-Y

Ordering, metastability and phase transitions in two-dimensional systems
journal, April 1973

Kosterlitz, J M; Thouless, D J
Journal of Physics C: Solid State Physics, Vol. 6, Issue 7, p. 1181-1203
DOI: 10.1088/0022-3719/6/7/010

Monte Carlo renormalization-group analysis of the classical Heisenberg model in two dimensions
journal, November 1980

Shenker, Stephen H.; Tobochnik, Jan
Physical Review B, Vol. 22, Issue 9
DOI: 10.1103/PhysRevB.22.4462

Grand Canonical Ensembles, Multiparticle Wave Functions, Scattering Data, and Lattice Field Theories
journal, December 2015

Bruckmann, Falk; Gattringer, Christof; Kloiber, Thomas
Physical Review Letters, Vol. 115, Issue 23
DOI: 10.1103/PhysRevLett.115.231601

Principal chiral field at large N
journal, August 1994

Fateev, V. A.; Kazakov, V. A.; Wiegmann, P. B.
Nuclear Physics B, Vol. 424, Issue 3
DOI: 10.1016/0550-3213(94)90405-7

Dual lattice representations for $O (N)$ and $CP (N - 1)$ models with a chemical potential
journal, October 2015

Bruckmann, Falk; Gattringer, Christof; Kloiber, Thomas
Physics Letters B, Vol. 749
DOI: 10.1016/j.physletb.2015.08.015

Phase diagram of the quantum $O (2)$ model in $2 + 1$ dimensions
journal, June 2013

Langfeld, Kurt
Physical Review D, Vol. 87, Issue 11
DOI: 10.1103/PhysRevD.87.114504

One dimensional bosons: From condensed matter systems to ultracold gases
journal, December 2011

Cazalilla, M. A.; Citro, R.; Giamarchi, T.
Reviews of Modern Physics, Vol. 83, Issue 4
DOI: 10.1103/RevModPhys.83.1405

Definition and statistical distributions of a topological number in the lattice O(3) σ-model
journal, August 1981

Berg, B.; Lüscher, M.
Nuclear Physics B, Vol. 190, Issue 2
DOI: 10.1016/0550-3213(81)90568-X

Path-integral computation of superfluid densities
journal, December 1987

Pollock, E. L.; Ceperley, D. M.
Physical Review B, Vol. 36, Issue 16
DOI: 10.1103/PhysRevB.36.8343

Zur Theorie der Metalle: I. Eigenwerte und Eigenfunktionen der linearen Atomkette
journal, March 1931

Bethe, H.
Zeitschrift f�r Physik, Vol. 71, Issue 3-4
DOI: 10.1007/BF01341708

Resurgence and dynamics of O(N) and Grassmannian sigma models
journal, September 2015

Dunne, Gerald V.; Ünsal, Mithat
Journal of High Energy Physics, Vol. 2015, Issue 9
DOI: 10.1007/JHEP09(2015)199

Quantum Phase Transitions
book, January 2011

Sachdev, Subir
DOI: 10.1017/CBO9780511973765

Strong coupling QCD at finite baryon-number density
journal, February 1989

Karsch, F.; Mütter, K. -H.
Nuclear Physics B, Vol. 313, Issue 3
DOI: 10.1016/0550-3213(89)90396-9

Relativistic factorized S-matrix in two dimensions having O(N) isotopic symmetry
journal, February 1978

Zamolodchikov, Alexander B.; Zamolodchikov, Alexey B.
Nuclear Physics B, Vol. 133, Issue 3
DOI: 10.1016/0550-3213(78)90239-0

The Complete Equation of State of One, Two and Three-Dimensional Gases of Hard Elastic Spheres
journal, November 1936

Tonks, Lewi
Physical Review, Vol. 50, Issue 10
DOI: 10.1103/PhysRev.50.955

Worm Algorithms for Classical Statistical Models
journal, September 2001

Prokof'ev, Nikolay; Svistunov, Boris
Physical Review Letters, Vol. 87, Issue 16
DOI: 10.1103/PhysRevLett.87.160601

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Title: Two-dimensional O(3) model at nonzero density: From dual lattice simulations to repulsive bosons

Citation Formats

Thermodynamics of a One‐Dimensional System of Bosons with Repulsive Delta‐Function Interaction journal, July 1969

Theory of dynamic critical phenomena journal, July 1977

Finite size effects in the presence of a chemical potential: A study in the classical nonlinear O ( 2 ) sigma model journal, June 2010

Monte Carlo estimates of the mass gap of the O(2) and O(3) spin models in 1+1 dimensions journal, May 1982

Quantum phase transitions of interacting bosons and the supersolid phase journal, December 1995

Resurgence and trans-series in Quantum Field Theory: the $\mathbb{C}{{\mathbb{P}}^{N-1 }}$ model journal, November 2012

Boson localization and the superfluid-insulator transition journal, July 1989

Nonlinear sigma models at nonzero chemical potential: Breaking up instantons and the phase diagram journal, November 2014

Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State journal, May 1963

Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension journal, November 1960

Lattice QCD with fermions at strong coupling: A dimer system journal, December 1984

Progress towards quantum simulating the classical O ( 2 ) model journal, December 2014

Corrigendum to “Dual lattice representations for O(N) and CP(N− 1) models with a chemical potential” [Phys. Lett. B 749 (2015) 495–501] journal, December 2015

Resurgence in Quantum Field Theory: Nonperturbative Effects in the Principal Chiral Model journal, January 2014

The exact mass gap of the O(3) and O(4) non-linear σ-models in d = 2 journal, August 1990

Ordering, metastability and phase transitions in two-dimensional systems journal, April 1973

Monte Carlo renormalization-group analysis of the classical Heisenberg model in two dimensions journal, November 1980

Grand Canonical Ensembles, Multiparticle Wave Functions, Scattering Data, and Lattice Field Theories journal, December 2015

Principal chiral field at large N journal, August 1994

Dual lattice representations for O ( N ) and CP ( N − 1 ) models with a chemical potential journal, October 2015

Phase diagram of the quantum O ( 2 ) model in 2 + 1 dimensions journal, June 2013

One dimensional bosons: From condensed matter systems to ultracold gases journal, December 2011

Definition and statistical distributions of a topological number in the lattice O(3) σ-model journal, August 1981

Path-integral computation of superfluid densities journal, December 1987

Zur Theorie der Metalle: I. Eigenwerte und Eigenfunktionen der linearen Atomkette journal, March 1931

Resurgence and dynamics of O(N) and Grassmannian sigma models journal, September 2015

Quantum Phase Transitions book, January 2011

Strong coupling QCD at finite baryon-number density journal, February 1989

Relativistic factorized S-matrix in two dimensions having O(N) isotopic symmetry journal, February 1978

The Complete Equation of State of One, Two and Three-Dimensional Gases of Hard Elastic Spheres journal, November 1936

Worm Algorithms for Classical Statistical Models journal, September 2001

Thermodynamics of a One‐Dimensional System of Bosons with Repulsive Delta‐Function Interaction
journal, July 1969

Theory of dynamic critical phenomena
journal, July 1977

Finite size effects in the presence of a chemical potential: A study in the classical nonlinear $O (2)$ sigma model
journal, June 2010

Monte Carlo estimates of the mass gap of the O(2) and O(3) spin models in 1+1 dimensions
journal, May 1982

Quantum phase transitions of interacting bosons and the supersolid phase
journal, December 1995

Resurgence and trans-series in Quantum Field Theory: the $\mathbb{C}{{\mathbb{P}}^{N-1 }}$ model
journal, November 2012

Boson localization and the superfluid-insulator transition
journal, July 1989

Nonlinear sigma models at nonzero chemical potential: Breaking up instantons and the phase diagram
journal, November 2014

Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
journal, May 1963

Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension
journal, November 1960

Lattice QCD with fermions at strong coupling: A dimer system
journal, December 1984

Progress towards quantum simulating the classical $O (2)$ model
journal, December 2014

Corrigendum to “Dual lattice representations for O(N) and CP(N− 1) models with a chemical potential” [Phys. Lett. B 749 (2015) 495–501]
journal, December 2015

Resurgence in Quantum Field Theory: Nonperturbative Effects in the Principal Chiral Model
journal, January 2014

The exact mass gap of the O(3) and O(4) non-linear σ-models in d = 2
journal, August 1990

Ordering, metastability and phase transitions in two-dimensional systems
journal, April 1973

Monte Carlo renormalization-group analysis of the classical Heisenberg model in two dimensions
journal, November 1980

Grand Canonical Ensembles, Multiparticle Wave Functions, Scattering Data, and Lattice Field Theories
journal, December 2015

Principal chiral field at large N
journal, August 1994

Dual lattice representations for $O (N)$ and $CP (N - 1)$ models with a chemical potential
journal, October 2015

Phase diagram of the quantum $O (2)$ model in $2 + 1$ dimensions
journal, June 2013

One dimensional bosons: From condensed matter systems to ultracold gases
journal, December 2011

Definition and statistical distributions of a topological number in the lattice O(3) σ-model
journal, August 1981

Path-integral computation of superfluid densities
journal, December 1987

Zur Theorie der Metalle: I. Eigenwerte und Eigenfunktionen der linearen Atomkette
journal, March 1931

Resurgence and dynamics of O(N) and Grassmannian sigma models
journal, September 2015

Quantum Phase Transitions
book, January 2011

Strong coupling QCD at finite baryon-number density
journal, February 1989

Relativistic factorized S-matrix in two dimensions having O(N) isotopic symmetry
journal, February 1978

The Complete Equation of State of One, Two and Three-Dimensional Gases of Hard Elastic Spheres
journal, November 1936

Worm Algorithms for Classical Statistical Models
journal, September 2001