论文标题
分子腔量子量子电动力学的量规模棱两可的分辨率
Resolution of Gauge Ambiguities in Molecular Cavity Quantum Electrodynamics
论文作者
论文摘要
这项工作通过在电子状态截断下解决了库仑量规和偶极仪表仪之间的量规模棱两可，为分子腔量子电动力学提供了基本理论框架。我们对这种规格歧义产生的猜想是，并非所有操作员都在截短的电子子空间中适当地限制了所有操作员。基于此猜想，我们构建了一个单一的转换，该转换适当地限制了子空间中的所有操作员，并在截断的子空间下为库仑量规的hamiltonian提供了等效但方便的表达。我们最终提供了模型分子系统的分析和数值结果，该模型与空腔相结合，以证明我们理论的有效性。
This work provides the fundamental theoretical framework for the molecular cavity Quantum Electrodynamics by resolving the gauge ambiguities between the Coulomb gauge and the dipole gauge Hamiltonian under the electronic state truncation. Our conjecture for the arising of such gauge ambiguity is that not all operators are properly constrained in the truncated electronic subspace. Based upon this conjecture, we construct a unitary transformation that properly constrains all operators in the subspace, and derive an equivalent and yet convenient expression for the Coulomb gauge Hamiltonian under the truncated subspace. We finally provide the analytical and numerical results of a model molecular system coupled to the cavity to demonstrate the validity of our theory.
