Lech Zieliński

Asymptotic formula for large eigenvalues of the two-photon quantum Rabi model

2023 · Comptes Rendus Mathématique

We prove that the spectrum of the two-photon quantum Rabi Hamiltonian consists of two eigenvalue sequences <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mrow> <mml:mo>(</mml:mo> <mml:msubsup> <mml:mi>E</mml:mi> <mml:mi>m</mml:mi> <mml:mo>+</mml:mo> </mml:msubsup> <mml:mo>)</mml:mo> </mml:mrow> <mml:mrow> <mml:mi>m</mml:mi> <mml:mo>=</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> <mml:mi>∞</mml:mi> </mml:msubsup> …