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- W2263197326 abstract "The correlated fermionic many-particle system, near infinite scattering length, reveals an underlying Heisenberg symmetry in one dimension, as compared to an $SO(2,1)$ symmetry in two dimensions. This facilitates an exact map from the interacting to the non-interacting system, both with and without a harmonic trap, and explains the short-distance scaling behavior of the wave-function. Taking advantage of the phenomenological Calogero-Sutherland-type interaction, motivated by the density functional approach, we connect the ground-state energy shift, to many-body correlation effect. For the excited states, modes at integral values of the harmonic frequency $omega$, are predicted in one dimension, in contrast to the breathing modes with frequency $2omega$ in two dimensions." @default.
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- W2263197326 date "2017-02-01" @default.
- W2263197326 modified "2023-09-25" @default.
- W2263197326 title "Heisenberg symmetry and collective modes of one dimensional unitary correlated fermions" @default.
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- W2263197326 doi "https://doi.org/10.1016/j.physleta.2016.12.018" @default.
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