{
  "annotation_id": "90271ec2-be09-4f5f-82d6-5263114045e8",
  "date_created": "2026-03-02T18:02:27.661000Z",
  "date_modified": "2026-03-02T18:02:27.661000Z",
  "file_hash": "04182d9d58e3e4edef857dc3cd514769041a42c0eaf939ea7437024f8763ed1b",
  "private": false,
  "record": {
    "abstract": "We formulate a new quasi-Hermitian delta-shell pseudopotential for higher\npartial wave scattering, and show that any such potential must have an\nenergy-dependent regularization. The quasi-Hermiticity of the Hamiltonian leads\nto a complete set of biorthogonal wave functions that can be used as a basis to\nexpand and diagonalize other two-body Hamiltonians. We demonstrate this\nprocedure for the case of ultracold atoms in a polarization-gradient optical\nlattice, interacting pairwise when two atoms are transported together from\nseparated lattice sites. Here the pseudopotential depends explicitly on the\ntrapping potential. Additionally, we calculate the location of trap-induced\nresonances for higher partial waves, which occur when a molecular eigenstate is\nshifted to resonance with a trap eigenstate. We verify the accuracy of the\npseudopotential approach using a toy model in which a square well acts as the\ntrue interaction potential, and see excellent agreement.",
    "arxiv_id": "quant-ph/0605147",
    "authors": [
      "Iris Reichenbach",
      "Andrew Silberfarb",
      "Rene Stock",
      "Ivan H. Deutsch"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other",
      "physics.atom-ph"
    ],
    "doi": "10.1103/PhysRevA.74.042724",
    "journal_ref": "Phys. Rev. A 74, 042724 (2006)",
    "title": "A quasi-Hermitian pseudopotential for higher partial wave scattering",
    "url": "https://arxiv.org/abs/quant-ph/0605147"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "defcab72-7472-4852-b632-a6091b9b5a78",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}