The phase diagram and vortex properties of PT-symmetric non-Hermitian two-component superfluid

• URL: http://arxiv.org/abs/2105.07453v2
• Date: Wed, 29 Sep 2021 18:54:50 GMT
• Title: The phase diagram and vortex properties of PT-symmetric non-Hermitian two-component superfluid
• Authors: A. M. Begun, M. N. Chernodub, A. V. Molochkov
• Abstract summary: We discuss the phase diagram and properties of global vortices in the non-Hermitian parity-time-symmetric relativistic model. 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.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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