Vortex formation in a two-dimensional Bose gas
We discuss the stability of a homogeneous two-dimensional Bose gas at finite temperature against the formation of isolated vortices. We consider a patch of several healing lengths in size and compute its free energy using the Euclidean formalism. Since we deal with an open system, which is able to e...
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2010
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| LEADER | 11869caa a22012377a 4500 | ||
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| 003 | AR-BaUEN | ||
| 005 | 20230518203741.0 | ||
| 008 | 190411s2010 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-77951646850 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 030 | |a JPAPE | ||
| 100 | 1 | |a Calzetta, E. | |
| 245 | 1 | 0 | |a Vortex formation in a two-dimensional Bose gas |
| 260 | |c 2010 | ||
| 270 | 1 | 0 | |m Calzetta, E.; Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires-Ciudad Universitaria, 1428 Buenos Aires, Argentina |
| 506 | |2 openaire |e Política editorial | ||
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| 520 | 3 | |a We discuss the stability of a homogeneous two-dimensional Bose gas at finite temperature against the formation of isolated vortices. We consider a patch of several healing lengths in size and compute its free energy using the Euclidean formalism. Since we deal with an open system, which is able to exchange particles and angular momentum with the rest of the condensate, we use the symmetry-breaking (as opposed to the particle number conserving) formalism, and include configurations with all values of angular momenta in the partition function. At finite temperature, there appear sphaleron configurations associated with isolated vortices. The contribution from these configurations to the free energy is computed in the dilute gas approximation. We show that the Euclidean action of linearized perturbations of a vortex is not positive definite. As a consequence the free energy of the 2D Bose gas acquires an imaginary part. This signals the instability of the gas. This instability may be identified with the Berezinskii-Kosterlitz-Thouless transition. © 2010 IOP Publishing Ltd. |l eng | |
| 593 | |a Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires-Ciudad Universitaria, 1428 Buenos Aires, Argentina | ||
| 593 | |a Institute of Physical Sciences and Technology, Department of Physics, University of Maryland, College Park, MD 20742-4111, United States | ||
| 593 | |a Joint Quantum Institute and Maryland Center for Fundamental Physics, University of Maryland, College Park, MD 20742-4111, United States | ||
| 690 | 1 | 0 | |a BEREZINSKII-KOSTERLITZ-THOULESS TRANSITION |
| 690 | 1 | 0 | |a BOSE GAS |
| 690 | 1 | 0 | |a DILUTE GAS |
| 690 | 1 | 0 | |a EUCLIDEAN |
| 690 | 1 | 0 | |a FINITE TEMPERATURES |
| 690 | 1 | 0 | |a IMAGINARY PARTS |
| 690 | 1 | 0 | |a PARTICLE NUMBERS |
| 690 | 1 | 0 | |a PARTITION FUNCTIONS |
| 690 | 1 | 0 | |a POSITIVE DEFINITE |
| 690 | 1 | 0 | |a SYMMETRY-BREAKING |
| 690 | 1 | 0 | |a VORTEX FORMATION |
| 690 | 1 | 0 | |a ANGULAR MOMENTUM |
| 690 | 1 | 0 | |a BOSONS |
| 690 | 1 | 0 | |a ELECTRON ENERGY ANALYZERS |
| 690 | 1 | 0 | |a FREE ENERGY |
| 690 | 1 | 0 | |a OPEN SYSTEMS |
| 690 | 1 | 0 | |a TWO DIMENSIONAL |
| 690 | 1 | 0 | |a VORTEX FLOW |
| 650 | 1 | 7 | |2 spines |a GASES |
| 700 | 1 | |a Ho, K.-Y. | |
| 700 | 1 | |a Hu, B.L. | |
| 773 | 0 | |d 2010 |g v. 43 |k n. 9 |p J Phys B At Mol Opt Phys |x 09534075 |w (AR-BaUEN)CENRE-332 |t Journal of Physics B: Atomic, Molecular and Optical Physics | |
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| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_09534075_v43_n9_p_Calzetta |y Handle |
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