Abstract
At finite temperature, the stable equilibrium states of coupled two-component Bose Einstein condensations (BECs) with the same conformal mass in both non-rotating and rotating condition can be obtained by studying its real dynamics via holography. The equilibrium state is the state where the free energy reaches the minimum and does not change any more. In the case of no rotation, the spatial phase separated states of the two components become more stable than the miscible condensates state when the direct repulsive inter-component coupling constant eta>eta _c>0. Under rotation, the quantum fluid reveals four equilibrium structures of vortex states by varying the eta from the miscible region to the phase separated region. Among the four structures, the vortex sheet solution is the most exotic one that appears in the phase separated region.
Highlights
The gauge-gravity duality [1,2,3] which relates strongly interacting quantum field theories to theories of classic gravity in higher dimensions has provided a new scheme, which can study strongly interacting condensed matter systems in equilibrium [4,5], and study the real time dynamics when the system is far away from equilibrium [6,7,8,9,10]
The array of vortices is known to happen in a rotating superfluid [18], which has been obtained in holography by studying the
A e-mail: hbzeng@yzu.edu.cn full dynamics of the single component holographic superfluid/Bose Einstein condensations (BECs) in a rotating disk as the final time-independent solutions [19,20], while single vortex has been obtained in the same system as a static solution in the presence of rotation without the dynamic process [21,22,23,24,25,26]
Summary
The gauge-gravity duality [1,2,3] which relates strongly interacting quantum field theories to theories of classic gravity in higher dimensions has provided a new scheme, which can study strongly interacting condensed matter systems in equilibrium [4,5], and study the real time dynamics when the system is far away from equilibrium [6,7,8,9,10]. Schwinger-Keldysh propagators from AdS/CFT correspondence [11,12,13,14] has been studied in details in order to compute the real-time n-point functions from the partition function in the bulk. The first proposed model of a single component holographic superfluid/BEC was given in [15,16,17]. The array of vortices is known to happen in a rotating superfluid [18], which has been obtained in holography by studying the. Though the rotating single component superfluid has been studied thoroughly in holography, the holographic study on a rotating two component superfluid is still lacking.
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