Virial relations for electrons coupled to quantum field modes

Abstract

In this work we present a set of virial relations for many electron systems coupled to field modes, described by the Pauli--Fierz Hamiltonian in dipole approximation and using length gauge. Currently, there is growing interest in solutions of this Hamiltonian due to its relevance for describing molecular systems strongly coupled to photonic modes in cavities, and in the possible modification of chemical properties of such systems compared to the ones in free space. The relevance of such virial relations is demonstrated by showing a connection to mass renormalization and by providing an exact way to obtain total energies from potentials in the framework of Quantum Electrodynamical Density Functional Theory.

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Cited by in corpus (5)

• Real-Space, Real-Time Approach to Quantum-Electrodynamical Time-Dependent Density Functional Theory
• Stochastic Variational Approach to Small Atoms and Molecules Coupled to Quantum Field Modes
• Understanding polaritonic chemistry from ab initio quantum electrodynamics
• Quantum-Electrodynamical Density-Functional Theory Exemplified by the Quantum Rabi Model
• Exchange-only virial relation from the adiabatic connection