arXiv 0804.44162008-04quant-phcond-mat.otherphysics.atom-ph

Jahn-Teller systems from a cavity QED perspective

Jonas Larson

备注：: 10 pages, 6 figures. Replaced with final version
发表信息：: Phys. Rev. A 78, 033833 (2008)
DOI：: 10.1103/PhysRevA.78.033833

英文摘要：

Jahn-Teller systems and the Jahn-Teller effect are discussed in terms of cavity QED models. By expressing the field modes in a quadrature representation, it is shown that certain setups of a two-level system interacting with a bimodal cavity is described by the Jahn-Teller $E\timesε$ Hamiltonian. We identify the corresponding adiabatic potential surfaces and the conical intersection. The effects of a non-zero geometrical Berry phase, governed by encircling the conical intersection, are studied in detail both theoretically and numerically. The numerical analysis is carried out by applying a wave packet propagation method, more commonly used in molecular or chemical physics, and analytic expressions for the characteristic time scales are presented. It is found that the collapse-revival structure is greatly influenced by the geometrical phase and as a consequence, the field intensities contain direct information about this phase. We also mention the link between the Jahn-Teller effect and the Dicke phase transition in cavity QED.

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