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DIMENSIONAL CROSSOVER AND DIMENSIONAL EFFECTS IN QUASI-TWO-DIMENSIONAL BOSE GASES
Y. Hu; Z. X. Liang
2013
Source PublicationModern Physics Letters B
ISSN0217-9849
Volume27Issue:14
AbstractThis paper gives a systematic review on studies of dimensional effects in pure- and quasi-two-dimensional (2D) Bose gases, focusing on the role of dimensionality in the fundamental relation among the universal behavior of breathing mode, scale invariance and dynamic symmetry. First, we illustrate the emergence of universal breathing mode in the case of pure 2D Bose gases, and elaborate on its connection with the scale invariance of the Hamiltonian and the hidden SO(2, 1) symmetry. Next, we proceed to quasi-2D Bose gases, where excitations are frozen in one direction and the scattering behavior exhibits a 3D to 2D crossover. We show that the original SO(2, 1) symmetry is broken by arbitrarily small 2D effects in scattering, which consequently shifts the breathing mode from the universal frequency. The predicted shift rises significantly from the order of 0.5% to more than 5% in transiting from the 3D-scattering to the 2D-scattering regime. Observing this dimensional effect directly would present an important step in revealing the interplay between dimensionality and quantum fluctuations in quasi-2D.
description.department[hu, ying] austrian acad sci, inst quantum opt & quantum informat, a-6020 innsbruck, austria. [liang, zhaoxin] chinese acad sci, shenyang natl lab mat sci, inst met res, shenyang 110016, peoples r china. ; hu, y (reprint author), austrian acad sci, inst quantum opt & quantum informat, a-6020 innsbruck, austria. ; ying.hu@uibk.ac.at ; zhxliang@gmail.com
KeywordUltracold Gas Dimensional Crossover Collective Excitation Dependent Electromagnetic Field Trapped Atomic Gas Many-body Problem Long-range Order Einstein Condensation Quantum Oscillator Collective Excitations Parametric Excitation 2-dimensional Systems Ultracold Gases
URL查看原文
Language英语
Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/71265
Collection中国科学院金属研究所
Recommended Citation
GB/T 7714
Y. Hu,Z. X. Liang. DIMENSIONAL CROSSOVER AND DIMENSIONAL EFFECTS IN QUASI-TWO-DIMENSIONAL BOSE GASES[J]. Modern Physics Letters B,2013,27(14).
APA Y. Hu,&Z. X. Liang.(2013).DIMENSIONAL CROSSOVER AND DIMENSIONAL EFFECTS IN QUASI-TWO-DIMENSIONAL BOSE GASES.Modern Physics Letters B,27(14).
MLA Y. Hu,et al."DIMENSIONAL CROSSOVER AND DIMENSIONAL EFFECTS IN QUASI-TWO-DIMENSIONAL BOSE GASES".Modern Physics Letters B 27.14(2013).
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