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Title: Robust vortex lines, vortex rings, and hopfions in three-dimensional Bose-Einstein condensates

Journal Article · · Physical Review A - Atomic, Molecular, and Optical Physics
 [1];  [2];  [1];  [3];  [4];  [1];  [5]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of Massachusetts, Amherst, MA (United States)
  3. San Diego State Univ., San Diego, CA (United States)
  4. Univ. of Athens, Athens (Greece)
  5. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Massachusetts, Amherst, MA (United States)

Performing a systematic Bogoliubov–de Gennes spectral analysis, we illustrate that stationary vortex lines, vortex rings, and more exotic states, such as hopfions, are robust in three-dimensional atomic Bose-Einstein condensates, for large parameter intervals. Importantly, we find that the hopfion can be stabilized in a simple parabolic trap, without the need for trap rotation or inhomogeneous interactions. We supplement our spectral analysis by studying the dynamics of such stationary states; we find them to be robust against significant perturbations of the initial state. In the unstable regimes, we not only identify the unstable mode, such as a quadrupolar or hexapolar mode, but we also observe the corresponding instability dynamics. Moreover, deep in the Thomas-Fermi regime, we investigate the particlelike behavior of vortex rings and hopfions.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1334149
Alternate ID(s):
OSTI ID: 1228287
Report Number(s):
LA-UR-16-21289; PLRAAN
Journal Information:
Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 92, Issue 6; ISSN 1050-2947
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 20 works
Citation information provided by
Web of Science

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