Dimensional phase transition from an array of 1D Luttinger liquids to a 3D Bose-Einstein condensate

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Dimensional phase transition from an array of 1D Luttinger liquids to a 3D Bose-Einstein condensate. / Vogler, Andreas; Labouvie, Ralf; Barontini, Giovanni; Eggert, Sebastian; Guarrera, Vera; Ott, Herwig.

In: Physical Review Letters, Vol. 113, No. 21, 215301, 21.11.2014.

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@article{ef0f5e243c974cf58cd4cc2d16f65944,
title = "Dimensional phase transition from an array of 1D Luttinger liquids to a 3D Bose-Einstein condensate",
abstract = "We study the thermodynamic properties of a 2D array of coupled one-dimensional Bose gases. The system is realized with ultracold bosonic atoms loaded in the potential tubes of a two-dimensional optical lattice. For negligible coupling strength, each tube is an independent weakly interacting 1D Bose gas featuring Tomonaga Luttinger liquid behavior. By decreasing the lattice depth, we increase the coupling strength between the 1D gases and allow for the phase transition into a 3D condensate. We extract the phase diagram for such a system and compare our results with theoretical predictions. Because of the high effective mass across the periodic potential and the increased 1D interaction strength, the phase transition is shifted to large positive values of the chemical potential. Our results are prototypical to a variety of low-dimensional systems, where the coupling between the subsystems is realized in a higher spatial dimension such as coupled spin chains in magnetic insulators.",
keywords = "cond-mat.quant-gas, cond-mat.mes-hall, cond-mat.stat-mech, cond-mat.str-el, quant-ph",
author = "Andreas Vogler and Ralf Labouvie and Giovanni Barontini and Sebastian Eggert and Vera Guarrera and Herwig Ott",
note = "5 pages, 5 pictures, final version, Phys. Rev. Lett. in print (2014)",
year = "2014",
month = nov,
day = "21",
doi = "10.1103/PhysRevLett.113.215301",
language = "English",
volume = "113",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society (APS)",
number = "21",

}

RIS

TY - JOUR

T1 - Dimensional phase transition from an array of 1D Luttinger liquids to a 3D Bose-Einstein condensate

AU - Vogler, Andreas

AU - Labouvie, Ralf

AU - Barontini, Giovanni

AU - Eggert, Sebastian

AU - Guarrera, Vera

AU - Ott, Herwig

N1 - 5 pages, 5 pictures, final version, Phys. Rev. Lett. in print (2014)

PY - 2014/11/21

Y1 - 2014/11/21

N2 - We study the thermodynamic properties of a 2D array of coupled one-dimensional Bose gases. The system is realized with ultracold bosonic atoms loaded in the potential tubes of a two-dimensional optical lattice. For negligible coupling strength, each tube is an independent weakly interacting 1D Bose gas featuring Tomonaga Luttinger liquid behavior. By decreasing the lattice depth, we increase the coupling strength between the 1D gases and allow for the phase transition into a 3D condensate. We extract the phase diagram for such a system and compare our results with theoretical predictions. Because of the high effective mass across the periodic potential and the increased 1D interaction strength, the phase transition is shifted to large positive values of the chemical potential. Our results are prototypical to a variety of low-dimensional systems, where the coupling between the subsystems is realized in a higher spatial dimension such as coupled spin chains in magnetic insulators.

AB - We study the thermodynamic properties of a 2D array of coupled one-dimensional Bose gases. The system is realized with ultracold bosonic atoms loaded in the potential tubes of a two-dimensional optical lattice. For negligible coupling strength, each tube is an independent weakly interacting 1D Bose gas featuring Tomonaga Luttinger liquid behavior. By decreasing the lattice depth, we increase the coupling strength between the 1D gases and allow for the phase transition into a 3D condensate. We extract the phase diagram for such a system and compare our results with theoretical predictions. Because of the high effective mass across the periodic potential and the increased 1D interaction strength, the phase transition is shifted to large positive values of the chemical potential. Our results are prototypical to a variety of low-dimensional systems, where the coupling between the subsystems is realized in a higher spatial dimension such as coupled spin chains in magnetic insulators.

KW - cond-mat.quant-gas

KW - cond-mat.mes-hall

KW - cond-mat.stat-mech

KW - cond-mat.str-el

KW - quant-ph

UR - http://www.scopus.com/inward/record.url?scp=84919388356&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.113.215301

DO - 10.1103/PhysRevLett.113.215301

M3 - Article

AN - SCOPUS:84919388356

VL - 113

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 21

M1 - 215301

ER -