Multipartite quantum correlations in a two-mode Dicke model

Abstract

We analyze multipartite correlations in a generalized Dicke model involving two optical modes interacting with an ensemble of two-level atoms. In particular, we examine correlations beyond the standard bipartite entanglement and derive exact results in the thermodynamic limit. The model presents two superradiant phases involving the spontaneous breaking of either a ${\mathbb{Z}}_2$ or $\mathrm{U}(1)$ symmetry. The latter is characterized by the emergence of a Goldstone excitation, found to significantly affect the correlation profiles. Focusing on the correlations between macroscopic subsystems, we analyze both the mutual information as well as the entanglement of formation for all possible bipartitions among the optical and matter degrees of freedom. It is found that while each mode entangles with the atoms, the bipartite entanglement between the modes is zero, and they share only classical correlations and quantum discord. We also study the monogamy of multipartite entanglement and show that there exists genuine tripartite entanglement, i.e. quantum correlations that the atoms share with the two modes but that are not shared with them individually, only in the vicinity of the critical lines. Our results elucidate the intricate correlation structures underlying superradiant phase transitions in multimode systems.

arXiv comment11 pages, 4 figures. Published version

References in corpus (72)

• Quantum entanglement
• Mixed State Entanglement and Quantum Error Correction
• Entanglement Entropy and Quantum Field Theory
• Area laws for the entanglement entropy - a review
• Entanglement in quantum critical phenomena
• Distributed Entanglement
• Scaling of Entanglement close to a Quantum Phase Transitions
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• Entanglement in a simple quantum phase transition
• Entanglement Measures and Purification Procedures
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Time-dependence of correlation functions following a quantum quench
• Measuring entanglement entropy through the interference of quantum many-body twins
• Natural Thermal and Magnetic Entanglement in 1D Heisenberg Model
• Continuous variable quantum information: Gaussian states and beyond
• Chaos and the Quantum Phase Transition in the Dicke Model
• Supersolid formation in a quantum gas breaking continuous translational symmetry
• Quantum Phase Transitions and Bipartite Entanglement
• Gaussian quantum discord
• Entanglement and the Phase Transition in Single Mode Superradiance
• Entanglement versus Correlations in Spin Systems
• Quantum Phase Transition and Universal Dynamics in the Rabi model
• Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
• Measures and applications of quantum correlations
• Dynamical phase transition in the open Dicke model
• Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
• Efficient tomography of a quantum many-body system
• Multipartite entanglement in spin chains
• Measuring Gaussian quantum information and correlations using the Renyi entropy of order 2
• Bell Correlations in a Bose-Einstein Condensate
• Monitoring and manipulating Higgs and Goldstone modes in a supersolid quantum gas
• Superradiance transition in a system with a single qubit and a single oscillator
• Observation of a quantum phase transition in the quantum Rabi model with a single trapped ion
• Genuine quantum correlations in quantum many-body systems: a review of recent progress
• Universal scaling and critical exponents of the anisotropic quantum Rabi model
• Finite-Size Scaling Exponents in the Dicke Model
• Multipartite Entanglement Signature of Quantum Phase Transitions
• Threshold temperature for pairwise and many-particle thermal entanglement in the isotropic Heisenberg model
• Dissipative Phase Transition in the Open Quantum Rabi Model
• Global entanglement and quantum criticality in spin chains
• Quantum Phase Transition in the Finite Jaynes-Cummings Lattice Systems
• Correlation Matrices of Two-Mode Bosonic Systems
• On the critical exponent of a quantum noise driven phase transition: the open system Dicke-model
• Quantum Fisher information as signature of superradiant quantum phase transition
• Multipartite entanglement in topological quantum phases
• Entanglement and Entropy in a Spin-Boson Quantum Phase Transition
• Quantum phase transition in the Dicke model with critical and non-critical entanglement
• Entanglement entropy in collective models
• Coherent and dissipative dynamics at quantum phase transitions
• Scaling of genuine multiparticle entanglement at a quantum phase transition
• Should Entanglement Measures be Monogamous or Faithful?
• Entanglement, quantum phase transitions, and density matrix renormalization
• Experimental determination of irreversible entropy production in out-of-equilibrium mesoscopic quantum systems
• Entanglement in quantum computers described by the XXZ model with defects
• Finite-temperature mutual information in a simple phase transition
• Universal spectral features of ultrastrongly coupled systems
• Multipartite entanglement in quantum spin chains
• Multipartite Entanglement at Finite Temperature
• The Open-System Dicke-Model Quantum Phase Transition with a Sub-Ohmic Bath
• Unified Superradiant phase transitions
• Multi-partite entanglement and quantum phase transition in the one-, two-, and three-dimensional transverse field Ising model
• Coupling two order parameters in a quantum gas
• Two-mode Dicke model from non-degenerate polarization modes
• Universal fluctuations and squeezing in generalized Dicke model near the superradiant phase transition
• Collective excitations and supersolid behavior of bosonic atoms inside two crossed optical cavities
• Critical exponent of quantum phase transitions driven by colored noise
• Generalized classes of continuous symmetries in two-mode Dicke models
• Genuine Multipartite Correlations Distribution in the Criticality of Lipkin-Meshkov-Glick Model
• Wehrl entropy production rate across a dynamical quantum phase transition
• Emergence of continuous rotational symmetries in ultracold atoms coupled to optical cavities
• Genuine multipartite correlations in Dicke Superradiance