EPJ Web Conf.
Volume 258, 2022A Virtual Tribute to Quark Confinement and the Hadron Spectrum (vConf21)
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|11 January 2022
Vortices in 𝒫𝒯-symmetric non-Hermitian superfluid
1 Pacific Quantum Center, Far Eastern Federal University, Sukhanova 8, Vladivostok 690950, Russia
2 Institut Denis Poisson UMR 7013, Université de Tours, 37200 France
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Published online: 11 January 2022
We discuss the properties of the non-Hermitian 𝒫𝒯-symmetric two–scalar fields model. We investigate stability areas of this system and properties of vortices that emerge in the system of two interacting scalar fields. The phase diagram of the model contains stable and unstable regions depending on 𝒫𝒯-symmetry breaking, which intercross the regions of U(1)-symmetric and U(1)-broken phases in a nontrivial way. At non-zero quartic couplings, the non-Hermitian model possesses classical vortex solutions in the 𝒫𝒯-symmetric regions. We also consider a close Hermitian analog of the theory and compare the results with the non-Hermitian model.
© The Authors, published by EDP Sciences, 2022
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