Speaker
Prof.
Murray Batchelor
(Chongqing University, China)
Description
The quantum Rabi model, which describes the simplest
interaction between light and matter, is a fundamental
model with widespread applications in quantum physics.
These include the interaction between light and trapped
ions or quantum dots, and between microwaves and
superconducting qubits. The model is also applicable to both
cavity and circuit QED. Despite it’s simplicity, the
eigenspectrum of the fully quantized version of the Rabi
model has only recently been obtained exactly. The
quantum Rabi model has been claimed to be integrable
based on a criterion of quantum integrability without
presupposing the existence of a set of commuting oper-
ators. This talk will discuss the Yang-Baxter integrability of
the quantum Rabi model. In particular, we contend that the
model is in general not Yang-Baxter integrable, but rather is
only integrable in the Yang-Baxter sense at two special
parameter values. These considerations are extended to
various physical generalizations of the Rabi model. This talk
is based on joint work with Huan-Qiang Zhou.
