547 citations · 2.8k across the 92 of their papers we have counts for
4 papers · 1 filter
Integrability vs exact solvability in the quantum Rabi and Dicke models
Murray T. Batchelor, Huan-Qiang Zhou
The Rabi model describes the simplest interaction between light and matter via a two-level quantum system interacting with a bosonic field. We demonstrate that the fully quantised…
Universal Order Parameters and Quantum Phase Transitions: A Finite-Size Approach
Qian-Qian Shi, Huan-Qiang Zhou, Murray T. Batchelor
We propose a method to construct universal order parameters for quantum phase transitions in many-body lattice systems. The method exploits the -orthogonality of a few near-dege…
Degenerate groundstates and multiple bifurcations in a two-dimensional q-state quantum Potts model
Yan-Wei Dai, Sam Young Cho, Murray T. Batchelor +1
We numerically investigate the two-dimensional q-state quantum Potts model on the infinite square lattice by using the infinite projected entangled-pair state (iPEPS) algorithm. We…
The importance of being integrable: out of the paper, into the lab
Murray T. Batchelor
The scattering matrix (S-matrix), relating the initial and final states of a physical system undergoing a scattering process, is a fundamental object in quantum mechanics and quant…