Asymptotic formula for large eigenvalues of the two-photon quantum Rabi model
We prove that the spectrum of the two-photon quantum Rabi Hamiltonian consists of two eigenvalue sequences $(E_m^+)_{m=0}^\infty $, $(E_m^-)_{m=0}^\infty $ satisfying a three-term asymptotic formula with the remainder estimate $O(m^{-1}\ln m)$ when $m$ tends to infinity. By analogy to the one-photon...
Saved in:
| Main Authors: | Boutet de Monvel, Anne, Zielinski, Lech |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2023-12-01
|
| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.515/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Asymptotic formulas and critical exponents for two-parameter nonlinear eigenvalue problems
by: Tetsutaro Shibata
Published: (2003-01-01) -
Observation of photonic dynamics in dissipative quantum Rabi models
by: Wen Ning, et al.
Published: (2025-06-01) -
Eigenvalue Spectra of Rabi Models with Infinite Matrix Representations
by: Hongbin Liang, et al.
Published: (2025-03-01) -
Eigenvalues asymptotics for Stark operators
by: Hatem Najar, et al.
Published: (2019-07-01) -
Phase- and Polarization-Controlled Two-Photon Rabi Oscillation of the Biexciton State in a Semiconductor Quantum Dot
by: Erlin Sun, et al.
Published: (2014-01-01)