{
  "annotation_id": "73a8dead-c8fd-4134-ac94-3b60cc55b002",
  "date_created": "2026-03-02T18:01:42.316000Z",
  "date_modified": "2026-03-02T18:01:42.316000Z",
  "file_hash": "a11bc82770df51d81b9ab59c16c766b2d05ddd7e3e8906d68750d96303365db7",
  "private": false,
  "record": {
    "abstract": "In this paper we present a new quantum-trajectory based treatment of quantum\ndynamics suitable for dissipative systems. Starting from a de Broglie/Bohm-like\nrepresentation of the quantum density matrix, we derive and define quantum\nequations-of-motion for Liouville-space trajectories for a generalized system\ncoupled to a dissipative environment. Our theory includes a vector potential\nwhich mixes forward and backwards propagating components and non-local quantum\npotential which continuously produces coherences in the system. These\ntrajectories are then used to propagate an adaptive Lagrangian grid which\ncarries the density matrix, $\\rho(x,y)$, and the action, $A(x,y)$, thereby\nproviding a complete hydrodynamic-like description of the dynamics.",
    "arxiv_id": "quant-ph/0102055",
    "authors": [
      "Jeremy B. Maddox",
      "Eric R. Bittner"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum Liouville-space trajectories for dissipative systems",
    "url": "https://arxiv.org/abs/quant-ph/0102055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4ea53e2f-49c7-4812-b78e-e50533fcc434",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}