dorsal/arxiv
View SchemaQuantum Chaos, Irreversibility, dissipation and dephasing
| Authors | Doron Cohen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201088 |
| URL | https://arxiv.org/abs/quant-ph/0201088 |
Abstract
The main idea of "Quantum Chaos" studies is that Quantum Mechanics introduces two energy scales into the study of chaotic systems: One is obviously the mean level spacing $\Delta\propto\hbar^d$, where $d$ is the dimensionality; The other is $\Delta_b\propto\hbar$, which is known as the non-universal energy scale, or as the bandwidth, or as the Thouless energy. Associated with these two energy scales are two special quantum-mechanical (QM) regimes in the theory of driven system. These are the QM adiabatic regime, and the QM non-perturbative regime respectively. Otherwise Fermi golden rule applies, and linear response theory can be trusted. Demonstrations of this general idea, that had been published in 1999, have appeared in studies of wavepacket dynamics, survival probability, dissipation, quantum irreversibility, fidelity and dephasing.
{
"annotation_id": "b36818c9-9fe2-494a-9d5b-261b996877a1",
"date_created": "2026-03-02T18:01:49.541000Z",
"date_modified": "2026-03-02T18:01:49.541000Z",
"file_hash": "a081938b752108ade41d468a2d732823b102326fd5e1db5a3b4e3dbfffd406c1",
"private": false,
"record": {
"abstract": "The main idea of \"Quantum Chaos\" studies is that Quantum Mechanics introduces\ntwo energy scales into the study of chaotic systems: One is obviously the mean\nlevel spacing $\\Delta\\propto\\hbar^d$, where $d$ is the dimensionality; The\nother is $\\Delta_b\\propto\\hbar$, which is known as the non-universal energy\nscale, or as the bandwidth, or as the Thouless energy. Associated with these\ntwo energy scales are two special quantum-mechanical (QM) regimes in the theory\nof driven system. These are the QM adiabatic regime, and the QM\nnon-perturbative regime respectively. Otherwise Fermi golden rule applies, and\nlinear response theory can be trusted. Demonstrations of this general idea,\nthat had been published in 1999, have appeared in studies of wavepacket\ndynamics, survival probability, dissipation, quantum irreversibility, fidelity\nand dephasing.",
"arxiv_id": "quant-ph/0201088",
"authors": [
"Doron Cohen"
],
"categories": [
"quant-ph",
"cond-mat",
"nlin.CD"
],
"title": "Quantum Chaos, Irreversibility, dissipation and dephasing",
"url": "https://arxiv.org/abs/quant-ph/0201088"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "23e8b75b-1437-42bf-888a-20f041f01137",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}