Polarons and Polaron Scattering in an Ideal Semiconductor

Suppression of photon emission from a single molecule by a classical field: exact analytical solution

“…These minima correspond to a partial suppression of photon emission, becoming weaker pronounced with an increase of /ω rf and practically disappearing at /ω rf > 1. For the latter, the larger /ω rf the more close are the curves to a curve monotonically decreasing with increasing x (like for small polarons [20]). Similar results probably could be obtained in an alternative approach based on the appropriate Bloch-like equations of motion, accounting for the finite life-time of related spin-like variables; see, e.g., [23].…”

“…Thus we transformed the initial Hamiltonian (1) to the form (9) which is isomorphic to that of an electron interacting with a boson field. Applying this analogy, one can consider a tunnelling particle 'dressed' by the boson field, similarly to an electron 'dressed' by phonons in the theory of small polarons [20]. The Hamiltonian (9) can be transformed by applying the well-known unitary operator…”

The destruction of wave absorption (scattering) by tunneling states in glasses

“…In analogy with the theory of small polarons [15], one can apply to H SB the following unitary transformation [14,15]…”

“…Since the "spin-boson" model applied above is a kind of a tight-binding model for a weakly tunneling particle in a TLS, the criteria of the model in the case under consideration can be written as ε TLS { Ω 0 , ω D } (cf. [7,9,14,15]) and so the effect of tunneling destruction can be realized only for such high frequencies Ω 0 . In the next section we show how this effect reveals itself in the absorption (scattering) processes related to TLSs.…”

“…where ω 21 = − ω 12 ≡ ε TLS = ∆ 0 2 + ∆ 2 , while ω ξξ = 0 [15]. The dipole matrix element p ξξ defined in eq.…”