Abstract
We investigate several dynamical regimes characterizing a bosonic binary mixture loaded in a ring trimer, with particular reference to the persistence of demixing. The degree of phase separation is evaluated by means of the ‘entropy of mixing’, an indicator borrowed from statistical thermodynamics. Three classes of demixed stationary configurations are identified and their energetic and linear stability carefully analyzed. An extended set of trajectories originating in the vicinity of fixed points are explicitly simulated and chaos is shown to arise according to three different mechanisms. In many dynamical regimes, we show that chaos is not able to disrupt the order imposed by phase separation, i.e. boson populations, despite evolving in a chaotic fashion, do not mix. This circumstance can be explained either with energetic considerations or in terms of dynamical restrictions.
Highlights
The demixing of the condensed species constituting a binary bosonic mixture, i.e. their localization in different spatial regions, is a process that can be triggered by the presence of strong inter-species repulsive interactions
In this work we investigate, by means of a semiclassical approach, the dynamics of a bosonic binary mixture loaded in a ring trimer, emphasizing its relation with the entropy of mixing and the persistence of spatial phase separation
After identifying three classes of stationary configurations featuring an high degree of demixing and after developing the energetic- and the linear-stability analysis, we simulate the dynamics of thousands of trajectories starting in the vicinity of fixed points (FPs)
Summary
The demixing of the condensed species constituting a binary bosonic mixture, i.e. their localization in different spatial regions, is a process that can be triggered by the presence of strong inter-species repulsive interactions. In this work we investigate, by means of a semiclassical approach, the dynamics of a bosonic binary mixture loaded in a ring trimer, emphasizing its relation with the entropy of mixing and the persistence of spatial phase separation. After identifying three classes of stationary configurations featuring an high degree of demixing and after developing the energetic- and the linear-stability analysis, we simulate the dynamics of thousands of trajectories starting in the vicinity of fixed points (FPs) These simulations (i.e. the numerical solutions of motion equations (6)) allow one to compute the first Lyapunov exponent, an indicator which allows to distinguish between regular and chaotic trajectories, and give the possibility to monitor the degree of mixing of the two condensed species.
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