4.8 Article

Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas

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PHYSICAL REVIEW LETTERS
卷 100, 期 20, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.100.206805

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  1. Division Of Materials Research
  2. Direct For Mathematical & Physical Scien [0754613] Funding Source: National Science Foundation

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The spectral function and dynamic structure factor of bosons interacting by contact repulsion and confined to one dimension exhibit power-law singularities along the dispersion curves of the collective modes. We find the corresponding exponents exactly, by relating them to the known Bethe ansatz solution of the Lieb-Liniger model. Remarkably, the Luttinger liquid theory predictions for the exponents fail even at low energies, once the immediate vicinities of the edges are considered.

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