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- W4300570867 abstract "A unified formulation that obtains solitary waves for various background densities in the Bose-Einstein condensate of a system of hard-core bosons with nearest neighbor attractive interactions is presented. In general, two species of solitons appear: A nonpersistent (NP) type that fully delocalizes at its maximum speed, and a persistent (P) type that survives even at its maximum speed, and transforms into a periodic train of solitons above this speed. When the background condensate density is nonzero, both species coexist, the soliton is associated with a constant intrinsic frequency, and its maximum speed is the speed of sound. In contrast, when the background condensate density is zero, the system has neither a fixed frequency, nor a speed of sound. Here, the maximum soliton speed depends on the frequency, which can be tuned to lead to a cross-over between the NP-type and the P-type at a certain critical frequency, determined by the energy parameters of the system. We provide a single functional form for the soliton profile, from which diverse characteristics for various background densities can be obtained. Using the mapping to spin systems enables us to characterize the corresponding class of magnetic solitons in Heisenberg spin chains with different types of anisotropy, in a unified fashion." @default.
- W4300570867 created "2022-10-03" @default.
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- W4300570867 date "2014-04-20" @default.
- W4300570867 modified "2023-10-16" @default.
- W4300570867 title "Solitons in a hard-core bosonic system: Gross-Pitaevskii type and beyond" @default.
- W4300570867 doi "https://doi.org/10.48550/arxiv.1404.5075" @default.
- W4300570867 hasPublicationYear "2014" @default.
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