Essential entanglement for atomic and molecular physics

Abstract

Entanglement is nowadays considered as a key quantity for the understanding of correlations, transport properties, and phase transitions in composite quantum systems, and thus receives interest beyond the engineered applications in the focus of quantum information science. We review recent experimental and theoretical progress in the study of quantum correlations under that wider perspective, with an emphasis on rigorous definitions of the entanglement of identical particles, and on entanglement studies in atoms and molecules.

accepted as Topical Review by J. Phys. B, 61 pages, 14 figures

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• Entanglement detection
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• Genuine tripartite entanglement in the non-interacting Fermi gas
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Cited by in corpus (106)

• Non-Gaussian Quantum States and Where to Find Them
• Quantifying entanglement resources
• Indistinguishability of elementary systems as resource for quantum information processing
• Entanglement, Particle Identity and the GNS Construction: A Unifying Approach
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• Quantum entanglement of identical particles by standard information-theoretic notions
• Entanglement in indistinguishable particle systems
• Effects of symmetry breaking in finite quantum systems
• Experimental Characterization of Two-Particle Entanglement through Position and Momentum Correlations
• Non-Gaussianity as a signature of a quantum theory of gravity
• Interference of Identical Particles from Entanglement to Boson-Sampling
• Experimental control of quantum-mechanical entanglement in an attosecond pump-probe experiment
• Algebraic Approach to Entanglement and Entropy
• Entanglement between identical particles is a useful and consistent resource
• Robust entanglement preparation against noise by controlling spatial indistinguishability
• Entanglement in composite bosons realized by deformed oscillators
• Entanglement of Identical Particles
• Quantum entanglement in exactly soluble atomic models: The Moshinsky model with three electrons, and with two electrons in a uniform magnetic field
• Entanglement of Orbital Angular Momentum in Non-Sequential Double Ionization
• Dealing with indistinguishable particles and their entanglement
• Quantum teleportation with identical particles
• Universality of Schmidt decomposition and particle identity
• Entanglement in helium
• Entanglement Thermodynamics
• Experimental control of remote spatial indistinguishability of photons to realize entanglement and teleportation
• Measurement of Identical Particle Entanglement and the Influence of Antisymmetrisation
• Measuring the quantum state of photoelectrons
• Entanglement in N-harmonium: bosons and fermions
• Entanglement and the Born-Oppenheimer approximation in an exactly solvable quantum many-body system
• The Relationship Between Entanglement, Energy, and Level Degeneracy in Two-Electrons Systems
• Entanglement and correlation in two-nucleon systems
• Quantification of linear entropy for quantum entanglement in He, H- and Ps- ions using highly-correlated Hylleraas functions
• Continuous variable quantum state tomography of photoelectrons
• Bosonic behavior of entangled fermions
• Dissipative quantum metrology in manybody systems of identical particles
• Entanglement between electronic and vibrational degrees of freedom in a laser-driven molecular system
• Quantum entanglement for two electrons in the excited states of helium-like systems
• The Hong-Ou-Mandel effect with atoms
• Overview on the phenomenon of two-qubit entanglement revivals in classical environments
• Quantification of entanglement entropy in helium by the Schmidt-Slater decomposition method
• Dynamics of spatially indistinguishable particles and entanglement protection
• A two-particle, four-mode interferometer for atoms
• Impurity Effects in Two-Electron Coupled Quantum Dots: Entanglement Modulation
• Entanglement in S states of two-electron quantum dots with Coulomb impurities at the center
• Entanglement Spectra of Heisenberg Ladders of higher Spin
• Superhorizon entanglement entropy from particle decay in inflation
• Energy dependence of the entanglement entropy of composite boson (quasiboson) systems
• Entanglement robustness via spatial deformation of identical particle wave functions
• Optimal multi-configuration approximation of an N-fermion wave function
• Entanglement resonances of driven multi-partite quantum systems
• Analysis of delocalization of clusters in linear-chain $\alpha$-cluster states with entanglement entropy
• Entanglement Spectra and Entanglement Thermodynamics of Hofstadter Bilayers
• Magnetic alteration of entanglement in two-electron quantum dots
• How bosonic is a pair of fermions?
• Exact treatment of planar two-electron quantum dots: effects of anharmonicity on the complexity
• Extracting electronic many-body correlations from local measurements with artificial neural networks
• Is macroscopic entanglement a typical trait of many-particle quantum states?
• Quantification of Entanglement Entropies for Doubly Excited States in Helium
• Visualizing entanglement in atoms and molecules
• Indistinguishability-enhanced entanglement recovery by spatially localized operations and classical communication
• Entanglement generation through particle detection in systems of identical fermions
• Particle partition entanglement of one dimensional spinless fermions
• Ultrafast Molecular Frame Quantum Tomography
• Limits to multipartite entanglement generation with bosons and fermions
• Nonlocal Young tests with Einstein-Podolsky-Rosen correlated particle pairs
• State-independent contextuality with identical particles
• Coherent states of composite bosons
• Quantum decoherence in the entanglement entropy of a composite particle and its relationship to coarse graining in the Husimi function
• Interference, spectral momentum correlations, entanglement, and Bell inequality for a trapped interacting ultracold atomic dimer: Analogies with biphoton interferometry
• Machine learning the Kondo entanglement cloud from local measurements
• Entanglement, identity and disentanglement in two-atom spontaneous emission
• Hanbury Brown-Twiss Effect with Wave Packets
• Segre maps and entanglement for multipartite systems of indistinguishable particles
• Direct measurement of particle statistical phase
• Entanglement and non-locality in quantum protocols with identical particles
• Bipartite correlations in quantum resonance states
• Extracting Many-Body Quantum Resources within One-Body Reduced Density Matrix Functional Theory
• Quantum entanglement of two harmonically trapped dipolar particles
• Entanglement entropy and Schmidt number as measures of delocalization of $\alpha$ clusters in one-dimensional nuclear systems
• Spatial entanglement of fermions in one-dimensional quantum dots
• Coherence and decoherence in photon spin-qubit entanglement
• Indistinguishability-assisted two-qubit entanglement distillation
• Generating indistinguishability within identical particle systems: spatial deformations as quantum resource activators
• Correlation Minor Norms, Entanglement Detection and Discord
• Topical Review: Extracting Molecular Frame Photoionization Dynamics from Experimental Data
• Entanglement balance of quantum $(e,2e)$ scattering processes
• Orbital entanglement and electron localization in quantum wires
• Composite Fermions as Deformed Oscillators: Wavefunctions and Entanglement
• Maximum Violation of Monogamy of Entanglement for Indistinguishable Particles by Measures that are Monogamous for Distinguishable Particles
• Generation of tripartite entangled states with fermionic systems
• Joint effects of entanglement and symmetrization: physical properties and exclusion
• Entanglement as an indicator of a geometrical crossover in a two-electron quantum dot in a magnetic field
• Effects of spatial nonlocality versus nonlocal causality for bound electrons in external fields
• Measurement-induced entanglement entropy of gravitational wave detections
• Atomic absorption and emission in non-product states
• Universal Separability and Entanglement in Identical Particle Systems
• A Scaling Function for the Particle Entanglement Entropy of Fermions
• Spatial correlations and entanglement in a hybrid system of N fermion pairs with harmonic interaction
• Entanglement in Absorption Processes
• Entanglement properties of bound and resonant few-body states
• Degrees of Entanglement in Systems of Three Indistinguishable Bosons: Revisiting the Greenberger-Horne-Zeilinge State
• Correlation energy and quantum correlations in a solvable model
• Persistent fermionic entanglement under decoherence
• Quantitative determination of the orbital-selective Mott transition and quantum entanglement in the orbital-selective Mott phase
• Dynamics of mode entanglement induced by particle-tunneling in the extended Bose-Hubbard dimer model
• Transfer learning of many-body electronic correlation entropy from local measurements