Phase separation can be stronger than chaos

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.

21 pages, 9 figures

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• The mixing-demixing phase diagram of ultracold heteronuclear mixtures in a ring trimer
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• Quantum-classical correspondence of a system of interacting bosons in a triple-well potential
• Regular and chaotic behavior of collective atomic motion in two-component Bose-Einstein condensates
• Relative dynamics of quantum vortices and massive cores in binary BECs
• From integrability to chaos: the quantum-classical correspondence in a triple well bosonic model
• Spatial Phase Separation of a Binary Mixture in a Ring Trimer
• Characterization of hybrid quantum eigenstates in systems with mixed classical phasespace
• Ground state properties of a multi-component bosonic mixture: a Gutzwiller mean-field study
• Quantum-granularity effect in the formation of supermixed solitons in ring lattices
• Static properties of two linearly coupled discrete circuits
• Quantum Enhancement of Thermalization
• Chaotic and regular dynamics in the three-site Bose-Hubbard model
• Chaos onset in large rings of Bose-Einstein condensates
• Quantum tomography of the superfluid-insulator transition for a mesoscopic atomtronic ring
• Classical periodic trajectories and quantum scars in many-spin systems
• Mesoscopic superfluid to superconductor transition
• Arnold web and dynamical tunneling in a four-site Bose-Hubbard model