Local Fluctuations in Cavity Control of Ferroelectricity

Abstract

Control of quantum matter through resonant electromagnetic cavities is a promising route towards establishing control over material phases and functionalities. Quantum paraelectric insulators -- materials which are nearly ferroelectric -- are particularly promising candidate systems for this purpose since they have strongly fluctuating collective modes which directly couple to the electric field. In this work we explore this possibility in a system comprised of a quantum paraelectric sandwiched between two high-quality metal mirrors, realizing a Fabry-Perot type cavity. By developing a full multimode, continuum description we are able to study the effect of the cavity in a spatially resolved way for a variety of system sizes and temperatures. Surprisingly, we find that once a continuum of transverse modes are included the cavity ends up suppressing ferroelectric correlations. This effect arises from the screening out of transverse photons at the cavity boundaries and as a result is confined to the surface of the paraelectric sample. We also explore the temperature dependence of this effect and find it vanishes at high temperatures, indicating it is a purely quantum mechanical effect. We connect our result to calculations of Casimir and Van der Waals forces, which we argue are closely related to the dipolar fluctuations in the quantum paraelectric. Our results are based on a general formalism and are expected to be widely applicable, paving the way towards studies of the quantum electrodynamics of heterostructures featuring multiple materials and phases.

arXiv comment10 pages, 5 figures + 7 pages supplemental; v2 updated funding info and minor changes to text

References in corpus (53)

• 2D materials and van der Waals heterostructures
• Floquet Topological Insulator in Semiconductor Quantum Wells
• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• Photovoltaic Hall effect in graphene
• Electrical Control of 2D Magnetism in Bilayer CrI3
• Topological characterization of periodically-driven quantum systems
• Evidence of Ising pairing in superconducting NbSe${}_2$ atomic layers
• Stacking-engineered ferroelectricity in bilayer boron nitride
• Interfacial Ferroelectricity by van-der-Waals Sliding
• Terahertz-Field-Induced Ferroelectricity in Quantum Paraelectric SrTiO${}_3$
• Magnetic Order and Symmetry in the 2D Semiconductor CrSBr
• Metastable ferroelectricity in optically strained $SrTi{O}_3$
• Evidence for a single-layer van der Waals multiferroic
• Quantum Electrodynamical Density-Functional Theory: Bridging Quantum Optics and Electronic-Structure Theory
• Opposites Attract - A Theorem About The Casimir Force
• Quantum criticality in ferroelectrics
• Charge-polarized interfacial superlattices in marginally twisted hexagonal boron nitride
• Cavity Quantum Materials
• Intrinsic 2D-XY ferromagnetism in a van der Waals monolayer
• Cavity-mediated electron-photon superconductivity
• Strongly-Correlated Electron-Photon Systems
• Terahertz-Driven Phonon Upconversion in SrTiO3
• Magneto-transport controlled by Landau polariton states
• Quantum Electrodynamic Control of Matter: Cavity-Enhanced Ferroelectric Phase Transition
• The bulk van der Waals layered magnet CrSBr is a quasi-1D material
• Cavity Quantum Eliashberg Enhancement of Superconductivity
• Kohn-Sham Approach to Quantum Electrodynamical Density Functional Theory: Exact Time-Dependent Effective Potentials in Real Space
• The theory of parametrically amplified electron-phonon superconductivity
• Light-Matter Response in Non-Relativistic Quantum Electrodynamics: Quantum Modifications of Maxwell's Equations
• Superradiant Quantum Materials
• Cavity-mediated thermal control of metal-to-insulator transition in 1T-TaS${}_2$
• Theory of Photon Condensation in a Spatially-Varying Electromagnetic Field
• The Ferroelectric Photo-Groundstate of SrTiO${}_3$: Cavity Materials Engineering
• Cavity Quantum Electrodynamics at Arbitrary Light-Matter Coupling Strengths
• Large Enhancement of Ferro-Magnetism under Collective Strong Coupling of YBCO Nanoparticles
• Atomistic spin textures on-demand in the van der Waals layered magnet CrSBr
• Phonon polaritonics in two-dimensional materials
• Cavity-induced quantum spin liquids
• Sensing the local magnetic environment through optically active defects in a layered magnetic semiconductor
• Visualizing Atomically-Layered Magnetism in CrSBr
• Photo-induced electron pairing in a driven cavity
• Self-similar dynamics of order parameter fluctuations in pump-probe experiments
• Phonon-induced Floquet second-order topological phases protected by space-time symmetries
• Quantum Critical Paraelectrics and the Casimir Effect in Time
• Antiferromagnetic cavity optomagnonics
• Parametric resonance of Josephson plasma waves: A theory for optically amplified interlayer superconductivity in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Cavity magnon-polaritons in cuprate parent compounds
• Cavity control of nonlinear phononics
• Ferroelectric, quantum paraelectric or paraelectric? Calculating the evolution from BaTiO${}_3$ to SrTiO${}_3$ to KTaO${}_3$ using a single-particle quantum-mechanical description of the ions
• Optical dressing of the electronic response of two-dimensional semiconductors in quantum and classical descriptions of cavity electrodynamics
• Periodic dynamics in superconductors induced by an impulsive optical quench
• A non-perturbative no-go theorem for photon condensation in approximate models
• Dynamical mean-field study of a photon-mediated ferroelectric phase transition

Cited by in corpus (8)

• Cavity engineering of solid-state materials without external driving
• Cavity electrodynamics of van der Waals heterostructures
• Equilibrium Parametric Amplification in Raman-Cavity Hybrids
• Entanglement detection in quantum materials with competing orders
• Light-matter interactions in the vacuum of ultra-strongly coupled systems
• Polaritonic control of blackbody infrared radiative dissociation
• Cavity QED Control of Quantum Hall Stripes
• Chern insulators and topological flat bands in cavity-embedded kagome systems