dorsal/arxiv
View SchemaNon-Markovian Quantum State Diffusion
| Authors | L. Diosi, N. Gisin, W. T. Strunz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9803062 |
| URL | https://arxiv.org/abs/quant-ph/9803062 |
| DOI | 10.1103/PhysRevA.58.1699 |
Abstract
We present a nonlinear stochastic Schroedinger equation for pure states describing non-Markovian diffusion of quantum trajectories. It provides an unravelling of the evolution of a quantum system coupled to a finite or infinite number of harmonic oscillators, without any approximation. Its power is illustrated by several examples, including measurement-like situations, dissipation, and quantum Brownian motion. In some examples, we treat the environment phenomenologically as an infinite reservoir with fluctuations of arbitrary correlation. In other examples the environment consists of a finite number of oscillators. In these quasi-periodic cases we see the reversible decay of a `Schroedinger cat' state. Finally, our description of open systems is compatible with different positions of the `Heisenberg cut' between system and environment.
{
"annotation_id": "76ca67d3-6f08-4fdd-86d4-3829a654d80b",
"date_created": "2026-03-02T18:02:40.716000Z",
"date_modified": "2026-03-02T18:02:40.716000Z",
"file_hash": "3cd0fb0c8876024b36c46ef9318f38701fba4f94fc340f4b76ef4ca7b811421b",
"private": false,
"record": {
"abstract": "We present a nonlinear stochastic Schroedinger equation for pure states\ndescribing non-Markovian diffusion of quantum trajectories. It provides an\nunravelling of the evolution of a quantum system coupled to a finite or\ninfinite number of harmonic oscillators, without any approximation. Its power\nis illustrated by several examples, including measurement-like situations,\ndissipation, and quantum Brownian motion. In some examples, we treat the\nenvironment phenomenologically as an infinite reservoir with fluctuations of\narbitrary correlation. In other examples the environment consists of a finite\nnumber of oscillators. In these quasi-periodic cases we see the reversible\ndecay of a `Schroedinger cat\u0027 state. Finally, our description of open systems\nis compatible with different positions of the `Heisenberg cut\u0027 between system\nand environment.",
"arxiv_id": "quant-ph/9803062",
"authors": [
"L. Diosi",
"N. Gisin",
"W. T. Strunz"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.58.1699",
"title": "Non-Markovian Quantum State Diffusion",
"url": "https://arxiv.org/abs/quant-ph/9803062"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6805ae98-0ac6-4b22-9bdc-7303182fb7c5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}