Abstract

The light-matter interaction can be utilized to qualitatively alter physical properties of materials. Recent theoretical and experimental studies have explored this possibility of controlling matter by light based on driving many-body systems via strong classical electromagnetic radiation, leading to a time-dependent Hamiltonian for electronic or lattice degrees of freedom. To avoid inevitable heating, pump-probe setups with ultrashort laser pulses have so far been used to study transient light-induced modifications in materials. Here, we pursue yet another direction of controlling quantum matter by modifying quantum fluctuations of its electromagnetic environment. In contrast to earlier proposals on light-enhanced electron-electron interactions, we consider a dipolar quantum many-body system embedded in a cavity composed of metal mirrors, and formulate a theoretical framework to manipulate its equilibrium properties on the basis of quantum light-matter interaction. We analyze hybridization of different types of the fundamental excitations, including dipolar phonons, cavity photons, and plasmons in metal mirrors, arising from the cavity confinement in the regime of strong light-matter interaction. This hybridization qualitatively alters the nature of the collective excitations and can be used to selectively control energy-level structures in a wide range of platforms. Most notably, in quantum paraelectrics, we show that the cavity-induced softening of infrared optical phonons enhances the ferroelectric phase in comparison with the bulk materials. Our findings suggest an intriguing possibility of inducing a superradiant-type transition via the light-matter coupling without external pumping. We also discuss possible applications of the cavity-induced modifications in collective excitations to molecular materials and excitonic devices.

Highlights

  • The physical phenomenon that underlies this proposal is the cavityinduced softening of a dipolar phonon mode, which originates from the interplay between phonon nonlinearities and modifications of the hybrid light-matter collective excitations in the cavity geometry [see Figs. 3(a) and 3(b)]

  • Our analysis demonstrates that cavity confinement shifts the transition point in favor of the ferroelectric phase; i.e., the paraelectric-to-ferroelectric transition occurs at a lower applied pressure or isotope substitution in the cavity geometry as compared to the bulk case [Fig. 3(c)]

  • We focus on the resonant TM (RTM) modes at the zero in-plane momentum q 1⁄4 0, while similar arguments can be given for the corresponding RTE modes as well

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Summary

INTRODUCTION

Achieving a strong light-matter coupling is the subject of intense research in the fields of plasmonics in nanostructures [99,100,101] and polaritonic chemistry [102,103,104,105,106,107] In both areas, cavity setups hold promise for realizing systems with a broad range of interesting physical properties, including superconductivity [108,109,110], charge and energy transport [111,112,113,114,115,116,117,118], hybridized excitations in molecular crystals [119,120,121,122] and light-harvesting complexes [123,124,125,126], chemical reactivity of organic compounds [127,128,129], and energy transfer via phonon nonlinearity [130].

SUMMARY OF MAIN RESULTS
PHONON-PHOTON-PLASMON HYBRIDIZATION
Electromagnetic field
Matter field
Light-matter coupling
Bulk dispersions
Cavity configuration
Hamiltonian
Elementary excitations
Origin of the resonant soft-phonon modes
Effects of cavity losses
CAVITY-ENHANCED FERROELECTRIC PHASE TRANSITION IN AN INTERACTING SYSTEM
Variational principle
Results
SUMMARY AND DISCUSSIONS
Transverse modes
Longitudinal mode

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