ResearchPod Summary
How are light-matter interactions and the Power-Zienau-Woolley (PZW) multipolar Hamiltonian modified when the surrounding photonic vacuum breaks spatial inversion (I) or time-reversal (T) symmetry?
The authors explicitly apply the Power-Zienau-Woolley transformation to non-relativistic quantum electrodynamics under two idealized chiral photonic environments: a spatial-chiral vacuum that breaks inversion symmetry and preserves time-reversal symmetry, and a temporal-chiral vacuum that does the reverse. They evaluate the resulting modified multipolar Hamiltonians and calculate their characteristic spectral shifts using minimal physical examples, including a trapped hydrogen-like atom and a charged harmonic oscillator in cavities.
In a spatial-chiral vacuum, the PZW transformation yields an inversion-breaking self-energy term that can be expanded in terms of the system's quadrupole moments, scaling inversely with cavity volume. In a temporal-chiral vacuum, the transformation produces an additional cavity-induced Zeeman-like vector potential term in the kinetic momentum. When applied to confined atomic and harmonic oscillator models, these symmetry-dependent terms lead to distinct, characteristic spectral shifts that are absent in conventional cavities preserving both inversion and time-reversal symmetries.
As nanophotonics and chiral cavities increasingly enable the engineering of custom photonic vacuums, standard quantum electrodynamics frameworks become insufficient. This work establishes a rigorous, general theoretical foundation for chiral quantum electrodynamics, explaining how vacuum-induced symmetry breaking directly imprints observable spectral signatures onto cavity-embedded atoms, molecules, and quantum materials.
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