dorsal/arxiv
View SchemaPhase-space picture of resonance creation and avoided crossings
| Authors | T. Timberlake, L. E. Reichl |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0010003 |
| URL | https://arxiv.org/abs/quant-ph/0010003 |
| DOI | 10.1103/PhysRevA.64.033404 |
Abstract
Complex coordinate scaling (CCS) is used to calculate resonance eigenvalues and eigenstates for a system consisting of an inverted Gaussian potential and a monochromatic driving field. Floquet eigenvalues and Husimi distributions of resonance eigenfunctions are calculated using two different versions of CCS. The number of resonance states in this system increases as the strength of the driving field is increased, indicating that this system might have increased stability against ionization when the field strength is very high. We find that the newly created resonance states are scarred on unstable periodic orbits of the classical motion. The behavior of these periodic orbits as the field strength is increased may explain why there are more resonance states at high field strengths than at low field strengths. Close examination of an avoided crossing between resonance states shows that this type of avoided crossing does not delocalize the resonance states, although it may lead to interesting effects at certain field strengths.
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"abstract": "Complex coordinate scaling (CCS) is used to calculate resonance eigenvalues\nand eigenstates for a system consisting of an inverted Gaussian potential and a\nmonochromatic driving field. Floquet eigenvalues and Husimi distributions of\nresonance eigenfunctions are calculated using two different versions of CCS.\nThe number of resonance states in this system increases as the strength of the\ndriving field is increased, indicating that this system might have increased\nstability against ionization when the field strength is very high. We find that\nthe newly created resonance states are scarred on unstable periodic orbits of\nthe classical motion. The behavior of these periodic orbits as the field\nstrength is increased may explain why there are more resonance states at high\nfield strengths than at low field strengths. Close examination of an avoided\ncrossing between resonance states shows that this type of avoided crossing does\nnot delocalize the resonance states, although it may lead to interesting\neffects at certain field strengths.",
"arxiv_id": "quant-ph/0010003",
"authors": [
"T. Timberlake",
"L. E. Reichl"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.64.033404",
"title": "Phase-space picture of resonance creation and avoided crossings",
"url": "https://arxiv.org/abs/quant-ph/0010003"
},
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