dorsal/arxiv
View SchemaAdiabatic theorem for non-hermitian time-dependent open systems
| Authors | Avner Fleischer, Nimrod Moiseyev |
|---|---|
| Categories | |
| ArXiv ID | physics/0507166 |
| URL | https://arxiv.org/abs/physics/0507166 |
| DOI | 10.1103/PhysRevA.72.032103 |
Abstract
In the conventional quantum mechanics (i.e., hermitian QM) the adia- batic theorem for systems subjected to time periodic fields holds only for bound systems and not for open ones (where ionization and dissociation take place) [D. W. Hone, R. Ketzmerik, and W. Kohn, Phys. Rev. A 56, 4045 (1997)]. Here with the help of the (t,t') formalism combined with the complex scaling method we derive an adiabatic theorem for open systems and provide an analytical criteria for the validity of the adiabatic limit. The use of the complex scaling transformation plays a key role in our derivation. As a numerical example we apply the adiabatic theorem we derived to a 1D model Hamiltonian of Xe atom which interacts with strong, monochromatic sine-square laser pulses. We show that the gener- ation of odd-order harmonics and the absence of hyper-Raman lines, even when the pulses are extremely short, can be explained with the help of the adiabatic theorem we derived.
{
"annotation_id": "9fbf9990-fd8b-4d17-83a8-eba324d75054",
"date_created": "2026-03-02T18:01:00.466000Z",
"date_modified": "2026-03-02T18:01:00.466000Z",
"file_hash": "c215a0d14416b1ebcc8f7e957879ebd9bd75caaa5ff7e72c35d0863c31787a53",
"private": false,
"record": {
"abstract": "In the conventional quantum mechanics (i.e., hermitian QM) the adia- batic\ntheorem for systems subjected to time periodic fields holds only for bound\nsystems and not for open ones (where ionization and dissociation take place)\n[D. W. Hone, R. Ketzmerik, and W. Kohn, Phys. Rev. A 56, 4045 (1997)]. Here\nwith the help of the (t,t\u0027) formalism combined with the complex scaling method\nwe derive an adiabatic theorem for open systems and provide an analytical\ncriteria for the validity of the adiabatic limit. The use of the complex\nscaling transformation plays a key role in our derivation. As a numerical\nexample we apply the adiabatic theorem we derived to a 1D model Hamiltonian of\nXe atom which interacts with strong, monochromatic sine-square laser pulses. We\nshow that the gener- ation of odd-order harmonics and the absence of\nhyper-Raman lines, even when the pulses are extremely short, can be explained\nwith the help of the adiabatic theorem we derived.",
"arxiv_id": "physics/0507166",
"authors": [
"Avner Fleischer",
"Nimrod Moiseyev"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.72.032103",
"title": "Adiabatic theorem for non-hermitian time-dependent open systems",
"url": "https://arxiv.org/abs/physics/0507166"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "ab82e0b5-6404-4f78-93ba-c32cefd4a250",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}