Effective Hamiltonian for Stokes--anti-Stokes pair generation with pump and probe polarized modes
Autor: | R. Acosta Diaz, Ado Jorio, Marcelo França Santos, Carlos H. Monken |
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Jazyk: | angličtina |
Rok vydání: | 2020 |
Předmět: |
Physics
education.field_of_study Photon Condensed Matter - Mesoscale and Nanoscale Physics Scattering Population FOS: Physical sciences Virtual particle Physics::Fluid Dynamics symbols.namesake Pair production Quantum electrodynamics Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Master equation symbols Hamiltonian (quantum mechanics) education Quantum |
Popis: | In the correlated Stokes--anti-Stokes scattering (SAS) an incident photon interacts with a Raman-active material, creating a Stokes photon and exciting a quantum vibrational mode in the medium, which is posteriorly annihilated on contact with a second incident photon, producing in turn an anti-Stokes photon. This can be accomplished by real and virtual processes. In real process the quantum mode shared between the Stokes and anti-Stokes events is a real particle, whereas in virtual processes the pair formation is mediated by the exchange of virtual particles. Here, we introduce a Hamiltonian to describe the pair production in SAS scattering, for both types of process, when stimulated by two orthogonally polarized laser pulses in a pump-and-probe configuration. We also model the effect of the natural decay of the vibration created in the Stokes event and compute the probability of producing SAS pairs. Additionally, we follow the dynamics of the vibration by considering the Stokes and anti-Stokes fields as external reservoirs, obtaining thus a master equation for the reduced density matrix for the vibrational population. Finally, we compare our theoretical results with recently published experimental data. 9 pages, 3 figures |
Databáze: | OpenAIRE |
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