Casimir-Lifshitz Theory for Cavity Modification of Ground-State Energy

Abstract

A theory for ground-state modifications of matter embedded in a Fabry-Perot cavity and whose excitations are described as harmonic oscillators is presented. Based on Lifshitz's theory for vacuum energy and employing a Lorentz model for the material permittivity, a nonperturbative macroscopic QED model that accounts for the infinite number of cavity modes with a continuum of their wavevectors was built. Differences from the commonly used single-mode Hopfield Hamiltonian are revealed. The nonresonant role of polaritons in the ground-state energy shift is also demonstrated, showing that the cavity effect is mainly caused by static screening occurring at very low frequencies. The theory allows for a straightforward incorporation of losses and temperature effects.

13 pages, 6 figures

References in corpus (15)

• Molecular polaritonics: Chemical Dynamics under strong Light-Matter Coupling
• Theoretical Challenges in Polaritonic Chemistry
• Cavity-mediated thermal control of metal-to-insulator transition in 1T-TaS${}_2$
• Precision measurement of the Casimir-Lifshitz force in a fluid
• Large Enhancement of Ferro-Magnetism under Collective Strong Coupling of YBCO Nanoparticles
• Abundance of cavity-free polaritonic states in resonant materials and nanostructures
• Unraveling a cavity induced molecular polarization mechanism from collective vibrational strong coupling
• Microscopic Theory of Multimode Polariton Dispersion in Multilayered Materials
• Amperean superconductivity cannot be induced by deep subwavelength cavities in a two-dimensional material
• Quantum trapping and rotational self-alignment in triangular Casimir microcavities
• Can we observe non-perturbative vacuum shifts in cavity QED?
• Tuning Fermi Liquids with polaritonic Cavities
• Multiple Interacting Photonic Modes in Strongly Coupled Organic Microcavities
• Electrostatic nature of cavity-mediated interactions between low-energy matter excitations
• General theory of cavity-mediated interactions between low-energy matter excitations