Measuring entanglement in condensed matter systems
arXiv:1009.2956 · doi:10.1103/PhysRevLett.106.020401
Abstract
We show how entanglement may be quantified in spin and cold atom many-body systems using standard experimental techniques only. The scheme requires no assumptions on the state in the laboratory and a lower bound to the entanglement can be read off directly from the scattering cross section of Neutrons deflected from solid state samples or the time-of-flight distribution of cold atoms in optical lattices, respectively. This removes a major obstacle which so far has prevented the direct and quantitative experimental study of genuine quantum correlations in many-body systems: The need for a full characterization of the state to quantify the entanglement contained in it. Instead, the scheme presented here relies solely on global measurements that are routinely performed and is versatile enough to accommodate systems and measurements different from the ones we exemplify in this work.
6 pages, 2 figures
References in corpus (13)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Entanglement detection
- Scalable multi-particle entanglement of trapped ions
- The ALPS project release 1.3: open source software for strongly correlated systems
- Generalized Directed Loop Method for Quantum Monte Carlo Simulations
- Quantifying Entanglement with Witness Operators
- Estimating entanglement measures in experiments
- Quantum dynamics and entanglement of spins on a square lattice
- Entanglement constrained by superselection rules
- When are correlations quantum? -- Verification and quantification of entanglement by simple measurements
- Expansion of a quantum gas released from an optical lattice
- Multipartite entanglement detection via structure factors
- Delocalized Entanglement of Atoms in optical Lattices
Cited by in corpus (55)
- Quantum entanglement in condensed matter systems
- Entanglement Certification From Theory to Experiment
- Bipartite Fluctuations as a Probe of Many-Body Entanglement
- Towards a large-scale quantum simulator on diamond surface at room temperature
- Quantum Simulation with Interacting Photons
- Device-independent entanglement quantification and related applications
- Multipartite entanglement in topological quantum phases
- Spatially Resolved Detection of a Spin-Entanglement Wave in a Bose-Hubbard Chain
- Rényi generalization of the operational entanglement entropy
- Spin squeezing and entanglement for arbitrary spin
- Spatial entanglement of bosons in optical lattices
- Quantum phase space measurement and entanglement validation made easy
- Nonlocality in many-body quantum systems detected with two-body correlators
- Quantum Kibble-Zurek physics in long-range transverse-field Ising models
- Genuine Multipartite Entanglement Trends in Gapless-gapped Transitions of Quantum Spin Systems
- Manipulating energy and spin currents in nonequilibrium systems of interacting qubits
- Frustrated Quantum Spin Models with Cold Coulomb Crystals
- Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
- Entanglement quantification in atomic ensembles
- Probing Entanglement in Adiabatic Quantum Optimization with Trapped Ions
- Quantum Magnetism of Spin-Ladder Compounds with Trapped-Ion Crystals
- Quantum control of spin-correlations in ultracold lattice gases
- Theory of Non-Interacting Fermions and Bosons in the Canonical Ensemble
- Unveiling quantum entanglement in many-body systems from partial information
- Entanglement and Nonlocality in Infinite 1D Systems
- Quantum weight: A fundamental property of quantum many-body systems
- Heisenberg Uncertainty Principle as Probe of Entanglement Entropy: Application to Superradiant Quantum Phase Transitions
- Non-Markovianity: initial correlations and nonlinear optical measurements
- Spin-1 Atoms in Optical Superlattices: Single-Atom Tunneling and Entanglement
- Detecting two-site spin-entanglement in many-body systems with local particle-number fluctuations
- Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice
- Bounding entanglement dimensionality from the covariance matrix
- Minimal Entanglement Witness From Electrical Current Correlations
- Entanglement classification with matrix product states
- Quantifying entanglement with scattering experiments
- Quantum Correlation with Sandwiched Relative Entropies: Advantageous as Order Parameter in Quantum Phase Transitions
- Magnetic excitations, non-classicality and quantum wake spin dynamics in the Hubbard chain
- Thermodynamic Entanglement of Magnonic Condensates
- Collective randomized measurements in quantum information processing
- Dimerized ground states in spin-S frustrated systems
- Practical Entanglement Estimation for Spin-System Quantum Simulators
- Accessible quantification of multiparticle entanglement
- Revealing divergent length scales using quantum Fisher information in the Kitaev honeycomb model
- Shared Purity of Multipartite Quantum States
- Geometric quantum discord and coherence in a dipolar interacting magnetic system
- Surpassing the shot-noise limit by homodyne-mediated feedback
- Balls and Walls: A Compact Unary Coding for Bosonic States
- Measuring and engineering entropy and spin squeezing in weakly linked Bose-Einstein condensates
- Ergodicity from Nonergodicity in Quantum Correlations of Low-dimensional Spin Systems
- Entanglement detection by Bragg scattering
- Schrödinger as a Quantum Programmer: Estimating Entanglement via Steering
- Bounds on mixed state entanglement
- Witnessing entanglement in hybrid systems
- Entanglement in bipartite pure states of an interacting boson gas obtained by local projective measurements
- Quantum Entanglement Generation in the Heterometallic NiGd Complexes