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Title: Angular Momentum of a Magnetically Trapped Atomic Condensate

Abstract

For an atomic condensate in an axially symmetric magnetic trap, the sum of the axial components of the orbital angular momentum and the hyperfine spin is conserved. Inside an Ioffe-Pritchard trap (IPT) whose magnetic field (B field) is not axially symmetric, the difference of the two becomes surprisingly conserved. In this Letter we investigate the relationship between the values of the sum or difference angular momentums for an atomic condensate inside a magnetic trap and the associated gauge potential induced by the adiabatic approximation. Our result provides significant new insight into the vorticity of magnetically trapped atomic quantum gases.

Authors:
;  [1];  [2];  [1];  [3]
  1. School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332 (United States)
  2. Institute of Theoretical Physics, Chinese Academy of Science, Beijing 100080 (China)
  3. (China)
Publication Date:
OSTI Identifier:
20861608
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevLett.98.030403; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ADIABATIC APPROXIMATION; AXIAL SYMMETRY; CONDENSATES; GAUGE INVARIANCE; MAGNETIC FIELDS; ORBITAL ANGULAR MOMENTUM; POTENTIALS; SPIN; TRAPPING; TRAPS

Citation Formats

Zhang, P., Jen, H. H., Sun, C. P., You, L., and Center for Advanced Study, Tsinghua University, Beijing 100084. Angular Momentum of a Magnetically Trapped Atomic Condensate. United States: N. p., 2007. Web. doi:10.1103/PHYSREVLETT.98.030403.
Zhang, P., Jen, H. H., Sun, C. P., You, L., & Center for Advanced Study, Tsinghua University, Beijing 100084. Angular Momentum of a Magnetically Trapped Atomic Condensate. United States. doi:10.1103/PHYSREVLETT.98.030403.
Zhang, P., Jen, H. H., Sun, C. P., You, L., and Center for Advanced Study, Tsinghua University, Beijing 100084. Fri . "Angular Momentum of a Magnetically Trapped Atomic Condensate". United States. doi:10.1103/PHYSREVLETT.98.030403.
@article{osti_20861608,
title = {Angular Momentum of a Magnetically Trapped Atomic Condensate},
author = {Zhang, P. and Jen, H. H. and Sun, C. P. and You, L. and Center for Advanced Study, Tsinghua University, Beijing 100084},
abstractNote = {For an atomic condensate in an axially symmetric magnetic trap, the sum of the axial components of the orbital angular momentum and the hyperfine spin is conserved. Inside an Ioffe-Pritchard trap (IPT) whose magnetic field (B field) is not axially symmetric, the difference of the two becomes surprisingly conserved. In this Letter we investigate the relationship between the values of the sum or difference angular momentums for an atomic condensate inside a magnetic trap and the associated gauge potential induced by the adiabatic approximation. Our result provides significant new insight into the vorticity of magnetically trapped atomic quantum gases.},
doi = {10.1103/PHYSREVLETT.98.030403},
journal = {Physical Review Letters},
number = 3,
volume = 98,
place = {United States},
year = {Fri Jan 19 00:00:00 EST 2007},
month = {Fri Jan 19 00:00:00 EST 2007}
}