Dynamics of two-component Bose-Einstein condensates in rotating traps
I. Corro, R.G. Scott, and A.M. Martin

TL;DR
This paper explores the behavior of two-component Bose-Einstein condensates in rotating traps, analyzing static solutions, stability, vortex formation, and interspecies interaction effects through theoretical and simulation methods.
Contribution
It provides a comprehensive analysis of vortex dynamics, stability, and interspecies interaction effects in two-component BECs, including new predictions of oscillations and symmetry breaking.
Findings
Multiple static solutions for vortex-free condensates identified.
Regimes for vortex state formation determined.
Interspecies interactions induce center-of-mass oscillations and symmetry breaking.
Abstract
The dynamics of two-component Bose-Einstein condensates in rotating traps is investigated. In the Thomas-Fermi limit, equations of motion are derived showing multiple static solutions for a vortex free condensate. Dynamic stability analysis of these solutions and comparison with Truncated Wigner simulations enables us to identify the regimes for which vortex states will occur. In addition, our analysis predicts centre-of-mass oscillations that are induced by interspecies interactions and affect each component separately. For attractive interspecies interactions, these oscillations lead to a stable symmetry broken state.
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