In the past 20 years, impressive progress has been made both experimentally and
theoretically in superconducting quantum circuits, which provide a platform for manipulating …

This article presents a review of recent developments on various aspects of the quantum
Rabi model. Particular emphasis is given on the exact analytic solution obtained in terms of …

This article reviews theoretical methods developed in the last decade to understand cavity
quantum electrodynamics in the ultrastrong‐coupling regime, where the strength of the light …

We propose a superconducting circuit to implement a two-photon quantum Rabi model in a
solid-state device, where a qubit and a resonator are coupled by a two-photon interaction …

Cat-state qubits formed by photonic cat states have a biased noise channel, ie, one type of
error dominates over all the others. We demonstrate that such biased-noise qubits are also …

We propose a new method for frequency conversion of photons which is both versatile and
deterministic. We show that a system with two resonators ultrastrongly coupled to a single …

The two-photon quantum Rabi model is analyzed using the ${{\mathbb {Z}}} _ {4} $-
symmetry and ${su}(1, 1) $-algebra. We derive the G-function whose zeros give the exact …

The asymmetric quantum Rabi model (AQRM) has a broken Z 2 symmetry, with generally a
nondegenerate eigenvalue spectrum. In some special cases where the asymmetric …

We investigate a series of two-mode quantum batteries (QBs) which exhibits better
performance in both the stored energy and average charging power compared to the two …

Various quantum phase transitions in the anisotropic Rabi-Stark model with both the
nonlinear Stark coupling and the linear dipole coupling between a two-level system and a …