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

References in corpus (216)

• Quantum entanglement
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Experimental quantum teleportation
• Mixed State Entanglement and Quantum Error Correction
• Separability Criterion for Density Matrices
• Quantum information with continuous variables
• Separability of Mixed States: Necessary and Sufficient Conditions
• Three qubits can be entangled in two inequivalent ways
• Entanglement of Orbital Angular Momentum States of Photons
• Concentrating Partial Entanglement by Local Operations
• Area laws for the entanglement entropy - a review
• Entanglement of a Pair of Quantum Bits
• Entanglement detection
• Quantifying Entanglement
• Scaling of Entanglement close to a Quantum Phase Transitions
• Violation of Bell's inequality under strict Einstein locality conditions
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Separability criterion and inseparable mixed states with positive partial transposition
• Quantum computing with trapped ions
• Conditions for a class of entanglement transformations
• Fermionic quantum computation
• Violation of Bell inequalities by photons more than 10 km apart
• Universal state inversion and concurrence in arbitrary dimensions
• Reference frames, superselection rules, and quantum information
• Generation of Hyperentangled Photons Pairs
• Entanglement in continuous variable systems: Recent advances and current perspectives
• Entanglement monotones
• On the role of entanglement in quantum computational speed-up
• Quantum Walk in Position Space with Single Optically Trapped Atoms
• The Einstein-Podolsky-Rosen paradox: from concepts to applications
• Highly efficient energy excitation transfer in light-harvesting complexes: The fundamental role of noise-assisted transport
• Quantum entanglement in photosynthetic light harvesting complexes
• Mapping photonic entanglement into and out of a quantum memory
• Witnessing multipartite entanglement
• Quantum Phase Transitions and Bipartite Entanglement
• Research on Hidden Variable Theories: a review of recent progresses
• Quantum Entanglement in Fermionic Lattices
• An experimental test of non-local realism
• A Schmidt number for density matrices
• Entanglement and quantum phase transition in the extended Hubbard model
• Local entanglement and quantum phase transition in the Hubbard model
• Measures and dynamics of entangled states
• Quantum Correlations in Systems of Indistinguishable Particles
• Quantum Correlations in Two-Fermion Systems
• The entanglement of indistinguishable particles shared between two parties
• Experimental demonstration of a hyper-entangled ten-qubit Schrödinger cat state
• Quantum tensor product structures are observable-induced
• Distribution of time-bin qubits over 50 km of optical fiber
• Quantum State Transfer Between Matter and Light
• Quantum interference between two single photons emitted by independently trapped atoms
• Testing spooky action at a distance
• A subsystem-independent generalization of entanglement
• Proposal for a loophole-free Bell test using homodyne detection
• Operational Quantum Mechanics, Quantum Axiomatics and Quantum Structures
• Virtual Quantum Subsystems
• A double-slit quantum eraser
• Entangling Independent Photons by Time Measurement
• Experimental realization of Dicke states of up to six qubits for multiparty quantum networking
• Experimental entanglement of a six-photon symmetric Dicke state
• General criterion for the entanglement of two indistinguishable particles
• Quantum Imaging
• Detection of high-dimensional genuine multi-partite entanglement of mixed states
• Double-Occupancy Errors, Adiabaticity, and Entanglement of Spin-Qubits in Quantum Dots
• Quantum Correlations in Two-Boson Wavefunctions
• Quantum physics meets biology
• Schmidt number witnesses and bound entanglement
• Separability and entanglement of composite quantum systems
• |0>|1>+|1>|0>
• Identifying entanglement using quantum "ghost" interference and imaging
• Entanglement of a photon and a collective atomic excitation
• Enhanced quantum entanglement in the non-Markovian dynamics of biomolecular excitons
• Experimental Detection of Entanglement with Polarized Photons
• Entanglement as a signature of quantum chaos
• Quantum control and entanglement in a chemical compass
• Frequency Bin Entangled Photons
• An observable entanglement measure for unknown mixed quantum states
• Limits of quantum speedup in photosynthetic light harvesting
• A short review on entanglement in quantum spin systems
• A Factorization Law for Entanglement Decay
• Entanglement in a two-identical-particle system
• Bringing entanglement to the high temperature limit
• An experimental demonstration of single photon nonlocality
• Hyperentanglement of two photons in three degrees of freedom
• Conditional generation of N-photon entangled states of light
• Efficient and coherent excitation transfer across disordered molecular networks
• Quantum Teleportation and Bell's Inequality Using Single-Particle Entanglement
• Family of Concurrence Monotones and its Applications
• Local unitary equivalence of multipartite pure states
• Linear optics and projective measurements alone suffice to create large-photon-number path entanglement
• Quantum Entanglement of Identical Particles
• Fermionic entanglement in itinerant systems
• Zero-Transmission Law for Multiport Beam Splitters
• Homodyne tomography characterization and nonlocality of a dual-mode optical qubit
• Distribution of entanglement in light-harvesting complexes and their quantum efficiency
• Relations between Entanglement Witnesses and Bell Inequalities
• Entanglement constrained by superselection rules
• Generic entanglement generation, quantum statistics and complementarity
• Experimental observation of an entire family of four-photon entangled states
• Packet narrowing and quantum entanglement in photoionization and photodissociation
• Experimental Bell Inequality Violation with an Atom and a Photon
• Quantum entanglement theory in the presence of superselection rules
• Entanglement of indistinguishable particles in condensed matter physics
• Nonlocal resources in the presence of Superselection Rules
• Nonlocality of a single particle
• Entanglement and density-functional theory: testing approximations on Hooke's atom
• Quantum Information Processing in Optical Lattices and Magnetic Microtraps
• Separability Criteria and Entanglement Measures for Pure States of N Identical Fermions
• Creation of maximally entangled photon-number states using optical fiber multiports
• Generalised Hong-Ou-Mandel Experiments with Bosons and Fermions
• Generation of Symmetric Dicke States of Remote Qubits with Linear Optics
• Relativistic quantum dynamics in strong fields: Photon emission from heavy, few-electron ions
• Dynamic entanglement in oscillating molecules and potential biological implications
• Describing mixed spin-space entanglement of pure states of indistinguishable particles using an occupation number basis
• Spontaneous emission of a photon: wave packet structures and atom-photon entanglement
• Evolution equation of entanglement for general bipartite systems
• Quantum entanglement as an interpretation of bosonic character in composite two-particle systems
• Entanglement in The Second Quantization Formalism
• Multiphoton entanglement through a Bell multiport beam splitter
• Delayed - Choice Entanglement - Swapping with Vacuum-One Photon Quantum States
• Entanglement of electron spins of non-interacting electron gases
• Entanglement within the Quantum Trajectory Description of Open Quantum Systems
• Operational determination of multi-qubit entanglement classes via tuning of local operations
• Generation of hybrid polarization-orbital angular momentum entangled states
• Experimental violation of a Bell inequality with two different degrees of freedom of entangled particle pairs
• Hybrid photonic entanglement: Realization, characterization and applications
• Long-distance atom-photon entanglement
• Matter-wave entanglement and teleportation by molecular dissociation and collisions
• Entanglement and Properties
• Entanglement in spatially inhomogeneous many-fermion systems
• Single-particle nonlocality and entanglement with the vacuum
• Nonlocal effects in Fock space
• Purification of Single-photon Entanglement
• Lower Bounds of Concurrence for Tripartite Quantum Systems
• Entanglement and Composite Bosons
• The Hydrogen Atom as an Entangled Electron-Proton System
• Entanglement Concentration Using Quantum Statistics
• Quantum Entanglement in Second-quantized Condensed Matter Systems
• Lower bounds on entanglement measures from incomplete information
• NONLOCALITY OF A SINGLE PHOTON REVISITED AGAIN
• Multipartite entanglement measure for all discrete systems
• Nonlocal Aspects of a Quantum Wave
• Quantum Cryptography Using Single Particle Entanglement
• Detecting entanglement in spatial interference
• Entanglement evolution in finite dimensions
• Multi-parameter Entanglement in Quantum Interferometry
• Generalization of entanglement to convex operational theories: Entanglement relative to a subspace of observables
• Natural multiparticle entanglement in a Fermi gas
• Entanglement dynamics in open two-qubit systems via diffusive quantum trajectories
• Useful entanglement from the Pauli principle
• Temporal Coherence and Indistinguishability in Two-Photon Interference Effects
• Verifying multi-partite mode entanglement of W states
• Multi-qubit entanglement engineering via projective measurements
• Tomographic test of Bell's inequality for a time-delocalized single photon
• Natural mode entanglement as a resource for quantum communication
• Spin-Space Entanglement Transfer and Quantum Statistics
• Bell test for the free motion of material particles
• Relativistic calculation of the two-photon decay rate of highly-excited ionic states
• Motional effects on the efficiency of excitation transfer
• Swapping path-spin intraparticle entanglement onto spin-spin interparticle entanglement
• Entanglement under restricted operations: Analogy to mixed-state entanglement
• Bell's inequality violation for entangled generalized Bernoulli states in two spatially separate cavities
• Observing quantum non-locality in the entanglement between modes of massive particles
• Experimental generation of pseudo bound entanglement
• Spatial pair correlations of atoms in molecular dissociation
• Spatial Entanglement From Off-Diagonal Long Range Order in a BEC
• Maximum occupation number for composite boson states
• Detecting mode entanglement: The role of coherent states, superselection rules and particle statistics
• New scheme for generating GHZ like state of $n$ photons
• Degree of entanglement as a physically ill-posed problem: The case of entanglement with vacuum
• Measuring two-photon orbital angular momentum entanglement
• Average Entanglement for Markovian Quantum Trajectories
• Angular correlations in the two--photon decay of helium--like heavy ions
• Compositeness Effects in the Bose-Einstein Condensation
• Detection and engineering of spatial mode entanglement with ultra-cold bosons
• Optimal State Discrimination Using Particle Statistics
• Bell-inequality test of spatial mode entanglement of a single massive particle
• Translational Entanglement of Dipole-Dipole Interacting Atoms in Optical Lattices
• Entanglement from density measurements: analytical density-functional for the entanglement of strongly correlated fermions
• Conditional generation of arbitrary multimode entangled states of light with linear optics
• Visualizing quantum entanglement and the EPR paradox during the photodissociation of a diatomic molecule using two ultrashort laser pulses
• Superposition of macroscopically distinct states means large multipartite entanglement
• Bell's experiment with intra- and inter-pair entanglement: Single-particle mode entanglement as a case study
• Environment-assisted quantum transport and trapping in dimers
• Increasing identical particle entanglement by fuzzy measurements
• Statistics of orbital entanglement production in quantum-chaotic dots
• Single particle nonlocality with completely independent reference states
• Criteria for the entanglement of composite systems of identical particles
• Scaling laws for the photo-ionisation cross section of two-electron atoms
• Entanglement-screening by nonlinear resonances
• Genuine tripartite entanglement in the non-interacting Fermi gas
• Quantum correlations in the two-photon decay of few-electron ions
• Equation of state for Entanglement in a Fermi gas
• Generation of Total Angular Momentum Eigenstates in Remote Qubits
• Bosonic characters of atomic Cooper pairs across resonance
• Classical dynamics near the triple collision in a three-body Coulomb problem
• Molecular Feshbach dissociation as a source for motionally entangled atoms
• Entanglement of two distant Bose-Einstein condensates by detection of Bragg-scattered photons
• Compositeness effects, Pauli's principle and entanglement
• Frontier between separability and quantum entanglement in a many spin system
• Equation of motion for entanglement
• Quantum communication, reference frames and gauge theory
• Optimal reference states for maximum accessible entanglement under the local particle number superselection rule
• Bell inequality for pairs of particle-number-superselection-rule restricted states
• Phase transitions, entanglement and quantum noise interferometry in cold atoms
• Quantum entanglement, interaction, and the classical limit
• Evidence of triple collision dynamics in partial photo-ionisation cross sections of helium
• Entanglement and statistics in Hong-Ou-Mandel interferometry
• A versatile source of polarization-entangled photons
• A new bound of concurrence
• Momentum entanglement and disentanglement between atom and photon
• GHZ and W Entanglement Witnesses for the Non-interacting Fermi gas
• Non-classical correlations from dissociation time entanglement
• Entangling the free motion of a particle pair: an experimental scenario
• Correlation in states of two identical particles
• Entangling ability of a beam splitter in the presence of temporal which-path information

Cited by in corpus (107)

• Non-Gaussian Quantum States and Where to Find Them
• Quantifying entanglement resources
• Indistinguishability of elementary systems as resource for quantum information processing
• Entanglement and Particle Identity: A Unifying Approach
• Entanglement, Particle Identity and the GNS Construction: A Unifying Approach
• 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
• Entanglement of Identical Particles and the Detection Process
• 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
• Experimental control of remote spatial indistinguishability of photons to realize entanglement and teleportation
• Entanglement Thermodynamics
• Measurement of Identical Particle Entanglement and the Influence of Antisymmetrisation
• Entanglement and the Born-Oppenheimer approximation in an exactly solvable quantum many-body system
• Entanglement in N-harmonium: bosons and fermions
• Measuring the quantum state of photoelectrons
• 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
• Quantum entanglement for two electrons in the excited states of helium-like systems
• Entanglement between electronic and vibrational degrees of freedom in a laser-driven molecular system
• 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
• Entanglement in S states of two-electron quantum dots with Coulomb impurities at the center
• Impurity Effects in Two-Electron Coupled Quantum Dots: Entanglement Modulation
• 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
• Magnetic alteration of entanglement in two-electron quantum dots
• Entanglement resonances of driven multi-partite quantum systems
• Entanglement Spectra and Entanglement Thermodynamics of Hofstadter Bilayers
• Analysis of delocalization of clusters in linear-chain $\alpha$-cluster states with entanglement entropy
• How bosonic is a pair of fermions?
• Exact treatment of planar two-electron quantum dots: effects of anharmonicity on the complexity
• Is macroscopic entanglement a typical trait of many-particle quantum states?
• Quantification of Entanglement Entropies for Doubly Excited States in Helium
• Extracting electronic many-body correlations from local measurements with artificial neural networks
• Visualizing entanglement in atoms and molecules
• Entanglement generation through particle detection in systems of identical fermions
• Indistinguishability-enhanced entanglement recovery by spatially localized operations and classical communication
• Nonlocal Young tests with Einstein-Podolsky-Rosen correlated particle pairs
• Limits to multipartite entanglement generation with bosons and fermions
• Particle partition entanglement of one dimensional spinless fermions
• Ultrafast Molecular Frame Quantum Tomography
• Coherent states of composite bosons
• State-independent contextuality with identical particles
• Interference, spectral momentum correlations, entanglement, and Bell inequality for a trapped interacting ultracold atomic dimer: Analogies with biphoton interferometry
• Quantum decoherence in the entanglement entropy of a composite particle and its relationship to coarse graining in the Husimi function
• 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
• Direct measurement of particle statistical phase
• Entanglement and non-locality in quantum protocols with identical particles
• Bipartite correlations in quantum resonance states
• Segre maps and entanglement for multipartite systems of indistinguishable particles
• Entanglement entropy and Schmidt number as measures of delocalization of $\alpha$ clusters in one-dimensional nuclear systems
• Quantum entanglement of two harmonically trapped dipolar particles
• Coherence and decoherence in photon spin-qubit entanglement
• Spatial entanglement of fermions in one-dimensional quantum dots
• Extracting Many-Body Quantum Resources within One-Body Reduced Density Matrix Functional Theory
• Correlation Minor Norms, Entanglement Detection and Discord
• Indistinguishability-assisted two-qubit entanglement distillation
• Generating indistinguishability within identical particle systems: spatial deformations as quantum resource activators
• Entanglement balance of quantum $(e,2e)$ scattering processes
• Orbital entanglement and electron localization in quantum wires
• Topical Review: Extracting Molecular Frame Photoionization Dynamics from Experimental Data
• Composite Fermions as Deformed Oscillators: Wavefunctions and Entanglement
• Entanglement as an indicator of a geometrical crossover in a two-electron quantum dot in a magnetic field
• 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
• Effects of spatial nonlocality versus nonlocal causality for bound electrons in external fields
• Measurement-induced entanglement entropy of gravitational wave detections
• Universal Separability and Entanglement in Identical Particle Systems
• Atomic absorption and emission in non-product states
• Entanglement in Absorption Processes
• 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
• Degrees of Entanglement in Systems of Three Indistinguishable Bosons: Revisiting the Greenberger-Horne-Zeilinge State
• Entanglement properties of bound and resonant few-body states
• Correlation energy and quantum correlations in a solvable model
• 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
• Persistent fermionic entanglement under decoherence
• Transfer learning of many-body electronic correlation entropy from local measurements