Signatures of the $A^2$ term in ultrastrongly-coupled oscillators
| Autor: | K. R. McEnery, Stefan A. Maier, Myungshik Kim, Tommaso Tufarelli |
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| Přispěvatelé: | Engineering & Physical Science Research Council (E, The Leverhulme Trust |
| Rok vydání: | 2014 |
| Předmět: |
General Physics
FOS: Physical sciences Physics Atomic Molecular & Chemical PHOTONS ATOMS symbols.namesake Quantum mechanics Polariton FIELD 01 Mathematical Sciences Physics Minimal coupling Quantum Physics Science & Technology 02 Physical Sciences Cavity quantum electrodynamics Optics Atomic and Molecular Physics and Optics Dipole LIGHT Quantum electrodynamics Physical Sciences CAVITY symbols PHASE-TRANSITIONS Sum rule in quantum mechanics 03 Chemical Sciences Hamiltonian (quantum mechanics) Ground state Quantum Physics (quant-ph) Vector potential |
| DOI: | 10.48550/arxiv.1407.7446 |
| Popis: | We study a bosonic matter excitation coupled to a single-mode cavity field via electric dipole. Counter-rotating and $A^2$ terms are included in the interaction model, ${\mathbf A}$ being the vector potential of the cavity field. In the ultrastrong coupling regime the vacuum of the bare modes is no longer the ground state of the Hamiltonian and contains a nonzero population of polaritons, the true normal modes of the system. If the parameters of the model satisfy the Thomas-Reiche-Kuhn sum rule, we find that the two polaritons are always equally populated. We show how this prediction could be tested in a quenching experiment, by rapidly switching on the coupling and analyzing the radiation emitted by the cavity. A refinement of the model based on a microscopic minimal coupling Hamiltonian is also provided, and its consequences on our results are characterized analytically. Comment: 11 pages, 5 figures |
| Databáze: | OpenAIRE |
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