Two-level System coupled to Phonons: Full Analytical Solution

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.

5 pp

References in corpus (4)

• Dephasing in Quantum Dots: Quadratic Coupling to Acoustic Phonons
• Dephasing times in quantum dots due to elastic LO phonon-carrier collisions
• Quantum control of electron--phonon scatterings in artificial atoms
• Coherent Control for a Two-level System Coupled to Phonons

Cited by in corpus (5)

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• Entropy Dynamics of Phonon Quantum States Generated by Optical Excitation of a Two-Level System
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• Nonlinear opto-vibronics in molecular systems