Comment on "Generalized James' Effective Hamiltonian Method"
arXiv:2312.10062 · doi:10.1103/PhysRevA.108.066201
Abstract
In the paper carried out by Wenjun et al. \cite{Shao2017}, a generalization of the James effective dynamics theory based on a first version of the James method was presented. This however, is not a very rigorous way of deriving the effective third-order expansion for an interaction Hamiltonian with harmonic time-dependence. In fact, here we show that the third-order Hamiltonian obtained in \cite{Shao2017} is not Hermitian for general situations when we consider time-dependence. Its non-Hermitian nature arises from the foundation of the theory itself. In this comment paper, the most general expression of the effective Hamiltonian expanded up to third order is obtained. Our derived effective Hamiltonian is Hermitian even in situations where we have time-dependence.
6 pages, published in Physical Review A
References in corpus (9)
- Effective Hamiltonian Theory and Its Applications in Quantum Information
- Fractional Quantum Hall State in Coupled Cavities
- Bilinear and quadratic Hamiltonians in two-mode cavity quantum electrodynamics
- Effective Hamiltonians in quantum optics: a systematic approach
- Simultaneously exciting two atoms with photon-mediated Raman interaction
- Construction of a qudit using Schrodinger cat states and generation of hybrid entanglement between a discrete-variable qudit and a continuous-variable qudit
- Quantum entanglement generation on magnons assisted with microwave cavities coupled to a superconducting qubit
- Effective Formalism for Open Quantum System Dynamics: Time-coarse-graining Approach
- Automated discovery of autonomous quantum error correction schemes