Entanglement detection in quantum materials with competing orders

Abstract

We investigate entanglement detection in quantum materials through criteria based on the simultaneous suppression of collective matter excitations. Unlike other detection schemes, these criteria can be applied to continuous and unbounded variables. By considering a system of interacting dipoles on a lattice, we show the detection of collective entanglement arising from two different physical mechanisms, namely, the ferroelectric ordering and the dressing of matter degrees of freedom by light. In the latter case, the detection shows the formation of a collective entangled phase not directly related to spontaneous symmetry breaking. These results open a new perspective for the entanglement characterization of competing orders in quantum materials, and have direct application to quantum paraelectrics with large polariton splittings.

5 pages, 3 figures

References in corpus (60)

• Quantum entanglement
• Entanglement detection
• Peres-Horodecki separability criterion for continuous variable systems
• Inseparability criterion for continuous variable systems
• Quantum Spin Liquids
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Many-particle entanglement with Bose--Einstein condensates
• Entanglement, Non-linear Dynamics, and the Heisenberg Limit
• Quantum metrology from a quantum information science perspective
• The Einstein-Podolsky-Rosen paradox: from concepts to applications
• Identifying Topological Order by Entanglement Entropy
• Fisher information and multiparticle entanglement
• Entanglement and Extreme Spin Squeezing
• Detecting genuine multipartite continuous-variable entanglement
• Violation of local uncertainty relations as a signature of entanglement
• Measuring multipartite entanglement via dynamic susceptibilities
• Entanglement Certification $-$ From Theory to Experiment
• Quantum criticality in ferroelectrics
• Entanglement from the vacuum
• Entanglement in a second order quantum phase transition
• Violating Bell's inequalities in the vacuum
• Cavity Quantum Materials
• A ferroelectric quantum phase transition inside the superconducting dome of Sr${}_{1-x}$Ca${}_x$TiO${}_{3-\delta }$
• Spin squeezing and entanglement
• Quantum root-mean-square error and measurement uncertainty relations
• Acceleration-assisted entanglement harvesting and rangefinding
• Magnetic Susceptibility as a Macrosopic Entaglement Witness
• The 2021 Quantum Materials Roadmap
• Quantum Electrodynamic Control of Matter: Cavity-Enhanced Ferroelectric Phase Transition
• Studying quantum spin systems through entanglement estimators
• Cavity QED of Strongly Correlated Electron Systems: A No-go Theorem for Photon Condensation
• 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${}_2$
• The Ferroelectric Photo-Groundstate of SrTiO${}_3$: Cavity Materials Engineering
• Detection of vacuum entanglement in a linear ion trap
• Spin squeezing inequalities for arbitrary spin
• Multiferroic Quantum Criticality
• Quantifying and controlling entanglement in the quantum magnet Cs${}_2$CoCl${}_4$
• Efficient entanglement criteria for discrete, continuous, and hybrid variables
• Experimental realisation of multipartite entanglement via quantum Fisher information in a uniform antiferromagnetic quantum spin chain
• Thermodynamics of ultrastrongly coupled light-matter systems
• Probing quantum correlations in many-body systems: a review of scalable methods
• The quantum paraelectric phase of SrTiO${}_3$ from first principles
• Quantum Critical Paraelectrics and the Casimir Effect in Time
• Cavity Light-Matter Entanglement through Quantum Fluctuations
• Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
• Optical dressing of the electronic response of two-dimensional semiconductors in quantum and classical descriptions of cavity electrodynamics
• Photon number statistics uncover the fluctuations in non-equilibrium lattice dynamics
• Witnessing nonequilibrium entanglement dynamics in a strongly correlated fermionic chain
• Quantum fluctuations beyond the Gutzwiller approximation in the Bose-Hubbard model
• Witnessing Light-Driven Entanglement using Time-Resolved Resonant Inelastic X-Ray Scattering
• Thermal and electrostatic tuning of surface phonon-polaritons in LaAlO3/SrTiO3 heterostructures
• Quasilocal entanglement across the Mott-Hubbard transition
• Local Fluctuations in Cavity Control of Ferroelectricity
• Vacuum Fluctuations induced Entanglement between Two Mesoscopic Systems
• Information-theoretic measures of superconductivity in a two-dimensional doped Mott insulator
• Photon condensation, Van Vleck paramagnetism, and chiral cavities
• Hidden excitonic quantum states with broken time-reversal symmetry

Cited by in corpus (2)

• Ultrafast dynamics of quantum matter driven by time-energy entangled photons
• Time correlations from steady-state expectation values