dorsal/arxiv
View SchemaReversible and irreversible dynamics of a qubit interacting with a small environment
| Authors | Giuliano Benenti, G. Massimo Palma |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611262 |
| URL | https://arxiv.org/abs/quant-ph/0611262 |
| DOI | 10.1103/PhysRevA.75.052110 |
| Journal | Phys. Rev. A 75, 052110 (2007) |
Abstract
We analyze the dynamics of a system qubit interacting by means a sequence of pairwise collisions with an environment consisting of just two qubits. We show that the density operator of the qubits approaches a common time averaged equilibrium state, characterized by large fluctuations, only for a random sequence of collisions. For a regular sequence of collisions the qubitstates of the system and of the reservoir undergo instantaneous periodic oscillations and do not relax to a common state. Furthermore we show that pure bipartite entanglement is developed only when at least two qubits are initially in the same purestate while otherwise also genuine multipartite entanglement builds up.
{
"annotation_id": "ca854fcc-12a5-4464-b72f-788b6ce1b805",
"date_created": "2026-03-02T18:02:34.104000Z",
"date_modified": "2026-03-02T18:02:34.104000Z",
"file_hash": "cd0c16f212ec8d965a3e3c46143f33db6710183f13ab80237f7bb9cb8c0ad70e",
"private": false,
"record": {
"abstract": "We analyze the dynamics of a system qubit interacting by means a sequence of\npairwise collisions with an environment consisting of just two qubits. We show\nthat the density operator of the qubits approaches a common time averaged\nequilibrium state, characterized by large fluctuations, only for a random\nsequence of collisions. For a regular sequence of collisions the qubitstates of\nthe system and of the reservoir undergo instantaneous periodic oscillations and\ndo not relax to a common state. Furthermore we show that pure bipartite\nentanglement is developed only when at least two qubits are initially in the\nsame purestate while otherwise also genuine multipartite entanglement builds\nup.",
"arxiv_id": "quant-ph/0611262",
"authors": [
"Giuliano Benenti",
"G. Massimo Palma"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.052110",
"journal_ref": "Phys. Rev. A 75, 052110 (2007)",
"title": "Reversible and irreversible dynamics of a qubit interacting with a small environment",
"url": "https://arxiv.org/abs/quant-ph/0611262"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "14db7e76-6ff1-4863-9331-611d7430c565",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}