Jahn-Teller systems from a cavity QED perspective

Understand

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 $E\times\epsilon$ 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.