{
  "annotation_id": "fd22055c-27b1-45b1-a61c-e27e50dfbd6f",
  "date_created": "2026-03-02T18:02:41.410000Z",
  "date_modified": "2026-03-02T18:02:41.410000Z",
  "file_hash": "607257e09a670f2a421be6da57aa69b15f3506e967020188278e952a2705f401",
  "private": false,
  "record": {
    "abstract": "A path integral formulation is developed for the dynamic Casimir effect. It\nallows us to study arbitrary deformations in space and time of the perfectly\nreflecting (conducting) boundaries of a cavity. The mechanical response of the\nintervening vacuum is calculated to linear order in the frequency-wavevector\nplane, using which a plethora of interesting phenomena can be studied. For a\nsingle corrugated plate we find a correction to mass at low frequencies, and an\neffective shear viscosity at high frequencies that are both anisotropic. The\nanisotropy is set by the wavevector of the corrugation. For two plates, the\nmass renormalization is modified by a function of the ratio between the\nseparation of the plates and the wave-length of corrugations. The dissipation\nrate is not modified for frequencies below the lowest optical mode of the\ncavity, and there is a resonant dissipation for all frequencies greater than\nthat. In this regime, a divergence in the response function implies that such\nhigh frequency deformation modes of the cavity can not be excited by any\nmacroscopic external forces. This phenomenon is intimately related to resonant\nparticle creation. For particular examples of two corrugated plates that are\nstationary, or moving uniformly in the lateral directions, Josephson-like\neffects are observed. For capillary waves on the surface of mercury a\nrenormalization to surface tension, and sound velocity is obtained.",
    "arxiv_id": "quant-ph/9802017",
    "authors": [
      "Ramin Golestanian",
      "Mehran Kardar"
    ],
    "categories": [
      "quant-ph",
      "cond-mat"
    ],
    "doi": "10.1103/PhysRevA.58.1713",
    "journal_ref": "Phys.Rev.A58:1713-1722,1998",
    "title": "Path Integral Approach to the Dynamic Casimir Effect with Fluctuating   Boundaries",
    "url": "https://arxiv.org/abs/quant-ph/9802017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b15086e7-9421-4132-b251-c263338a7e00",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}