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Exploring rigidly rotating vortex configurations and their bifurcations in atomic Bose-Einstein condensates.
A V Zampetaki1, R Carretero-González, P G Kevrekidis
1Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 16, 2013
Summary
This study explores few-vortex systems in atomic Bose-Einstein condensates. Combining Monte Carlo and dynamical system analyses reveals preferred configurations and bifurcations, clarifying vortex behavior based on angular momentum.
Area of Science:
- Atomic, Molecular, and Optical Physics
- Quantum Fluids and Gases
Background:
- Atomic Bose-Einstein condensates (BECs) exhibit complex vortex dynamics.
- Understanding few-vortex systems (N ≤ 5) is crucial for BEC research.
Purpose of the Study:
- To investigate the preferred dynamical states and configuration space of few-vortex systems in trapped BECs.
- To analyze bifurcations and energy landscapes for N=2 to 5 vortices.
Main Methods:
- Utilized a Monte Carlo method with hyperspherical coordinates to identify minimal energy ground states.
- Employed dynamical system analysis to study rigidly rotating states and bifurcations.
- Corroborated results from both methods for comprehensive analysis.
Main Results:
- Identified minimal energy ground states for 2 to 5 vortices across various angular momenta.
- Revealed supercritical and subcritical pitchfork, and saddle-center bifurcations in rotating vortex systems.
- Demonstrated how angular momentum acts as a bifurcation parameter, influencing Monte Carlo outcome selection.
Conclusions:
- The combined approach provides a transparent understanding of few-vortex system dynamics in BECs.
- Bifurcation analysis reveals the rich complexity even in low-dimensional vortex systems.
- Results clarify the selection of dynamical states based on angular momentum in trapped BECs.
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