Manipulating intertwined orders in solids with quantum light

Abstract

Intertwined orders exist ubiquitously in strongly correlated electronic systems and lead to intriguing phenomena in quantum materials. In this paper, we explore the unique opportunity of manipulating intertwined orders through entangling electronic states with quantum light. Using a quantum Floquet formalism to study the cavity-mediated interaction, we show the vacuum fluctuations effectively enhance the charge-density-wave correlation, giving rise to a phase with entangled electronic order and photon coherence, with putative superradiant behaviors in the thermodynamic limit. Furthermore, upon injecting even one single photon in the cavity, different orders, including $s$--wave and $\eta$--paired superconductivity, can be selectively enhanced. Our study suggests a new and generalisable pathway to control intertwined orders and create light-matter entanglement in quantum materials. The mechanism and methodology can be readily generalised to more complicated scenarios.

6 pages + appendix

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• Nonequilibrium steady-state theory of photodoped Mott insulators
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• Photo-induced nonequilibrium states in Mott insulators
• Cavity engineering of solid-state materials without external driving
• Cavity engineered phonon-mediated superconductivity in MgB${}_2$ from first principles quantum electrodynamics
• Fluctuating Nature of Light-Enhanced $d$-Wave Superconductivity: A Time-Dependent Variational Non-Gaussian Exact Diagonalization Study
• Vacuum anomalous Hall effect in gyrotropic cavity
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• Can we observe non-perturbative vacuum shifts in cavity QED?
• Vacuum-Induced Symmetry Breaking of Chiral Enantiomer Formation in Chemical Reactions
• Resonant light enhances phase coherence in a cavity QED simulator of fermionic superfluidity
• Cavity-enhanced superconductivity via band engineering
• Unified Light-Matter Floquet Theory and its Application to Quantum Communication
• Cavity-induced charge transfer in periodic systems: length-gauge formalism
• Non-Fermi-Liquid Behavior from Cavity Electromagnetic Vacuum Fluctuations at the Superradiant Transition
• Remote gate control of topological transitions in moiré superlattices via cavity vacuum fields
• Emergent Haldane Model and Photon-Valley Locking in Chiral Cavities
• Theory of fractional quantum Hall liquids coupled to quantum light and emergent graviton-polaritons
• Cavity induced chiral edge currents and spontaneous magnetization in two-dimensional electron systems
• Light-matter correlations in Quantum Floquet engineering of cavity quantum materials
• Control of Yu-Shiba-Rusinov States through a Bosonic Mode
• Induction of non-Fermi liquids by critical cavity photons at the onset of superradiance
• Cavity-Mediated Electron-Electron Interactions: Renormalizing Dirac States in Graphene
• Engineering Photon-mediated Long-Range Spin Interactions in Mott Insulators
• Quantized fields for optimal control in the strong coupling regime
• Excitonic enhancement of cavity-mediated interactions in a two-band Hubbard model
• Theory of photon condensation in an arbitrary gauge condensed matter cavity model
• Cavity Quantum Hall Hydrodynamics
• Schottky anomaly in a cavity-coupled double quantum well
• Controlling Collective Phenomena Via the Quantum State of Interaction-Mediators: Changing the Criticality of Photon-Mediated Superconductivity Via Fock States of Light
• Stability of Floquet sidebands and quantum coherence in 1D strongly interacting spinless fermions
• Quench dynamics in the one-dimensional mass-imbalanced ionic Hubbard model
• Cavity-Driven Attractive Interactions in Quantum Materials
• Higgs mode stabilization by photo-induced long-range interactions in a superconductor
• Dynamical stabilization by vacuum fluctuations in a cavity: Resonant electron scattering in the ultrastrong light-matter coupling regime
• Probing the collective excitations of excitonic insulators in an optical cavity
• Preparation of Many-body Ground States by Time Evolution with Variational Microscopic Magnetic Fields and Incomplete Interactions
• Spontaneous Symmetry Breaking of Cavity Vacuum and Emergent Gyrotropic Effects in Embedded moiré Superlattices
• Tunable intertwining via collective excitations