# Phase diagram and vortex properties of a PT-symmetric non-Hermitian two-component superfluid

Abstract : We discuss the phase diagram and properties of global vortices in the non-Hermitian parity-time-symmetric relativistic model possessing two interacting scalar complex fields. The phase diagram contains stable $PT$-symmetric regions and unstable $PT$-broken regions, which intertwine nontrivially with the U(1)-symmetric and U(1)-broken phases, thus forming rich patterns in the space of parameters of the model. The notion of the $PT$ symmetry breaking is generalized to the interacting theory. At finite quartic couplings, the non-Hermitian model possesses classical vortex solutions in the $PT$-symmetric regions characterized by broken U(1) symmetry. In the long-range limit of two-component Bose-Einstein condensates, the vortices from different condensates experience mutual dissipative dynamics unless their cores overlap precisely. For comparison, we also consider a close Hermitian analog of the system and demonstrate that the non-Hermitian two-component model possesses much richer dynamics than its Hermitian counterpart.
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A.M. M Begun, Maxim N. Chernodub, A.V. V Molochkov. Phase diagram and vortex properties of a PT-symmetric non-Hermitian two-component superfluid. Phys.Rev.D, 2021, 104 (5), pp.056024. ⟨10.1103/PhysRevD.104.056024⟩. ⟨hal-03244146⟩

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