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10 papers · 1 filter
On the Trotter Error in Many-body Quantum Dynamics with Coulomb Potentials
Di Fang, Xiaoxu Wu, Avy Soffer
Efficient simulation of many-body quantum systems is central to advances in physics, chemistry, and quantum computing, with a key question being whether the simulation cost scales…
Exceptional point rings and -symmetry in the non-Hermitian XY model
Robert A. Henry, D. C. Liu, Murray T. Batchelor
The XY spin chain is a paradigmatic example of a model solved by free fermions, in which the energy eigenspectrum is built from combinations of quasi-energies. In this article we s…
PT-symmetric quantum Rabi model
Xilin Lu, Hui Li, Jia-Kai Shi +4
In this work, we explore the PT-symmetric quantum Rabi model, which describes a PT-symmetric qubit coupled to a quantized light field. By employing the adiabatic approximation (AA)…
Comment on `Parameter-dependent unitary transformation approach for quantum Rabi model'
Daniel Braak, Murray T. Batchelor, Qing-Hu Chen
We discuss the elementary errors in D.G. Zhang's [New. J. Phys. 23, 093014 (2021)] claimed exact solution of the quantum Rabi model. The erroneous solution is seen to be nothing mo…
Hidden symmetry operators for asymmetric generalised quantum Rabi models
Xilin Lu, Zi-Min Li, Vladimir V. Mangazeev +1
The hidden symmetry of the asymmetric quantum Rabi model (AQRM) has recently been revealed via a systematic construction of the underlying symmetry operator. Based o…
Generalized adiabatic approximation to the quantum Rabi model
Zi-Min Li, Murray T. Batchelor
The quantum Rabi model (QRM) describes the interaction between a two-level system (qubit) and a quantum harmonic oscillator. In the limit where the qubit frequency is smaller than…