Fractional energy states of strongly interacting bosons in one dimension

N. T. Zinner, A. G. Volosniev, D. V. Fedorov, A. S. Jensen, Manuel Valiente Cifuentes

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Abstract

We study two-component bosonic systems with strong inter-species and vanishing intra-species interactions. A new class of exact eigenstates is found with energies that are not sums of the single-particle extended regions of coordinate space. This is demonstrated in an analytically solvable model for three equal mass particles, two of which are identical bosons, which is exact in the strongly interacting limit. We numerically verify our results by presenting the first application of the stochastic variational method to this kind of system. We also demonstrate that the limit where both inter-and intra-component interactions become strong must be treated with extreme care as these limits do not commute. Moreover, we argue that such states are generic also for general multi-component systems with more than three particles. The states can be probed using the same techniques that have recently been used for fermionic few-body systems in quasi-1D. Copyright (C) EPLA, 2014

Original languageEnglish
Article number60003
Number of pages6
JournalEurophysics Letters
Volume107
Issue number6
DOIs
Publication statusPublished - 17 Sep 2014

Keywords

  • TONKS-GIRARDEAU GAS
  • OPTICAL LATTICE
  • ULTRACOLD ATOMS
  • BODY PROBLEM
  • TIME

Cite this

Zinner, N. T., Volosniev, A. G., Fedorov, D. V., Jensen, A. S., & Valiente Cifuentes, M. (2014). Fractional energy states of strongly interacting bosons in one dimension. Europhysics Letters, 107(6), [60003]. https://doi.org/10.1209/0295-5075/107/60003