trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

The constraint polynomials of the two-photon Rabi model at and beyond the critical coupling

The constraint polynomials of the two-photon asymmetric quantum Rabi model factor into linear terms y + 2n(2n + 2rho - 1) at the critical coupling x = 1, and for x > 1 and nonnegative bias all their coefficients are positive, because the tridiagonal matrix behind them is positive definite.

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Proof of the conjecture for nonnegative bias

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Forbidden Neighbour DeterminantForbidden Neighbour DeterminantThe constraint polynomials of the two-photon Rabi model at and beyond the critical couplingThe constraint polynomials ofthe two-photon Rabi model atand beyond the critical
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