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arXiv · 1812.09043

Two-level System coupled to Phonons: Full Analytical Solution

Aurélia Chenu·Shiue-Yuan Shiau·Monique Combescot
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Abstract

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.

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Aurélia Chenu, Shiue-Yuan Shiau, Monique Combescot. 2019-01-09. Two-level System coupled to Phonons: Full Analytical Solution. https://doi.org/10.1103/physrevb.99.014302

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