Two-level system coupled to phonons: Full analytical solution
Abstract
In this study, we propose an analytical procedure to fully solve a two-level system coupled to phonons. Instead of using the common formulation in terms of linear and quadratic system-phonon couplings, we introduce different phonons depending on the system electronic level. We use this approach to recover known results for the linear-coupling limit in a simple way. More importantly, we derive results for the quadratic coupling induced by a phonon frequency change, a problem considered up to now as not analytically solvable.
- Authors:
-
- Donostia International Physics Center, San Sebastián (Spain); IKERBASQUE, Basque Foundation for Science, Bilbao (Spain); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- National Center for Theoretical Sciences, Hsinchu (Taiwan)
- Sorbonne Université, CNRS, Institut des NanoSciences de Paris (France)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1492614
- Alternate Identifier(s):
- OSTI ID: 1489859
- Report Number(s):
- LA-UR-18-25839
Journal ID: ISSN 2469-9950; PRBMDO
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 1; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; electron-phonon coupling
Citation Formats
del Campo Chenu, Aurelia Sidonie, Shiau, Shiue-Yuan, and Combescot, Monique. Two-level system coupled to phonons: Full analytical solution. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.99.014302.
del Campo Chenu, Aurelia Sidonie, Shiau, Shiue-Yuan, & Combescot, Monique. Two-level system coupled to phonons: Full analytical solution. United States. https://doi.org/10.1103/PhysRevB.99.014302
del Campo Chenu, Aurelia Sidonie, Shiau, Shiue-Yuan, and Combescot, Monique. Tue .
"Two-level system coupled to phonons: Full analytical solution". United States. https://doi.org/10.1103/PhysRevB.99.014302. https://www.osti.gov/servlets/purl/1492614.
@article{osti_1492614,
title = {Two-level system coupled to phonons: Full analytical solution},
author = {del Campo Chenu, Aurelia Sidonie and Shiau, Shiue-Yuan and Combescot, Monique},
abstractNote = {In this study, we propose an analytical procedure to fully solve a two-level system coupled to phonons. Instead of using the common formulation in terms of linear and quadratic system-phonon couplings, we introduce different phonons depending on the system electronic level. We use this approach to recover known results for the linear-coupling limit in a simple way. More importantly, we derive results for the quadratic coupling induced by a phonon frequency change, a problem considered up to now as not analytically solvable.},
doi = {10.1103/PhysRevB.99.014302},
journal = {Physical Review B},
number = 1,
volume = 99,
place = {United States},
year = {Tue Jan 08 00:00:00 EST 2019},
month = {Tue Jan 08 00:00:00 EST 2019}
}
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Works referencing / citing this record:
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