dorsal/arxiv
View SchemaRobustness of Wave Functions of Interacting Many Bosons in a Leaky Box
| Authors | Akira Shimizu, Takayuki Miyadera |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0002052 |
| URL | https://arxiv.org/abs/quant-ph/0002052 |
| DOI | 10.1103/PhysRevLett.85.688 |
| Journal | Phys. Rev. Lett. 85 (2000) 688 |
Abstract
We study the robustness, against the leakage of bosons, of wave functions of interacting many bosons confined in a finite box, by deriving and analyzing a general equation of motion for the reduced density operator. We identify a robust wave function that remains a pure state, whereas other wave functions, such as the Bogoliubov's ground state and the ground state with a fixed number of bosons, evolve into mixed states. Although these states all have the off-diagonal long-range order, and almost the same energy densities, we argue that only the robust state is realized as a macroscopic quantum state.
{
"annotation_id": "7fe16f1c-4a01-4d51-b1cc-cfd2e7a5fdaa",
"date_created": "2026-03-02T18:01:37.943000Z",
"date_modified": "2026-03-02T18:01:37.943000Z",
"file_hash": "696a7513c4981a8450d489d42c4c4e124a1fbc8554b2de20cda4ef995fe590df",
"private": false,
"record": {
"abstract": "We study the robustness, against the leakage of bosons, of wave functions of\ninteracting many bosons confined in a finite box, by deriving and analyzing a\ngeneral equation of motion for the reduced density operator. We identify a\nrobust wave function that remains a pure state, whereas other wave functions,\nsuch as the Bogoliubov\u0027s ground state and the ground state with a fixed number\nof bosons, evolve into mixed states. Although these states all have the\noff-diagonal long-range order, and almost the same energy densities, we argue\nthat only the robust state is realized as a macroscopic quantum state.",
"arxiv_id": "quant-ph/0002052",
"authors": [
"Akira Shimizu",
"Takayuki Miyadera"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"physics.atom-ph"
],
"doi": "10.1103/PhysRevLett.85.688",
"journal_ref": "Phys. Rev. Lett. 85 (2000) 688",
"title": "Robustness of Wave Functions of Interacting Many Bosons in a Leaky Box",
"url": "https://arxiv.org/abs/quant-ph/0002052"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e97f664e-9ad2-496d-9da4-5bf4b6574b4a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}