One-axis twisting as a method of generating many-body Bell correlations

Abstract

We demonstrate that the one-axis twisting (OAT), a versatile method of creating non-classical states of bosonic qubits, is a powerful source of many-body Bell correlations. We develop a fully analytical and universal treatment of the process, which allows us to identify the critical time at which the Bell correlations emerge, and predict the depth of Bell correlations at all subsequent times. Our findings are illustrated with a highly non-trivial example of the OAT dynamics generated using the Bose-Hubbard model.

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References in corpus (54)

• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Measuring entanglement entropy through the interference of quantum many-body twins
• Nonlinear atom interferometer surpasses classical precision limit
• Atom chip based generation of entanglement for quantum metrology
• Time-dependent variational principle for quantum lattices
• Unifying time evolution and optimization with matrix product states
• The European Quantum Technologies Roadmap
• Probing entanglement entropy via randomized measurements
• Implementation of Cavity Squeezing of a Collective Atomic Spin
• Universal Quantum Estimator
• Direct estimations of linear and non-linear functionals of a quantum state
• Bell's theorem for general N-qubit states
• Quantum certification and benchmarking
• Spin-Nematic Squeezed Vacuum in a Quantum Gas
• Mixed-state entanglement from local randomized measurements
• Entanglement entropy for the long range Ising chain
• Bell Correlations in a Bose-Einstein Condensate
• Detecting non-locality in multipartite quantum systems with two-body correlation functions
• Statistical correlations between locally randomized measurements: a toolbox for probing entanglement in many-body quantum states
• Time Dependent Variational Principle with Ancillary Krylov Subspace
• Unified criteria for multipartite quantum nonlocality
• Roadmap on quantum nanotechnologies
• Roadmap for gallium arsenide spin qubits
• Measuring the Renyi entropy of a two-site Fermi-Hubbard model on a trapped ion quantum computer
• Bell inequalities for continuous-variable correlations
• Unitary $n$-designs via random quenches in atomic Hubbard and Spin models: Application to the measurement of Rényi entropies
• Spin squeezing in a bimodal condensate: spatial dynamics and particle losses
• Many-body topological invariants from randomized measurements
• Enhanced and reduced atom number fluctuations in a BEC splitter
• Quantum Fisher information from randomized measurements
• Ideal n-body correlations with massive particles
• Number squeezing, quantum fluctuations and oscillations in mesoscopic Bose Josephson junctions
• Entanglement, EPR steering, and Bell-nonlocality criteria for multipartite higher-spin systems
• Many-body nonlocality as a resource for quantum-enhanced metrology
• Prospects and challenges for squeezing-enhanced optical atomic clocks
• Device-independent witnesses of entanglement depth from two-body correlators
• One- and two-axis squeezing via laser coupling in an atomic Fermi-Hubbard model
• Probing spin correlations in a Bose-Einstein condensate near the single atom level
• Bell correlations depth in many-body systems
• Robust spin squeezing from the tower of states of $U(1)$-symmetric spin Hamiltonians
• Engineering spin squeezing in a 3D optical lattice with interacting spin-orbit-coupled fermions
• Two-axis-twisting spin squeezing by multi-pass quantum erasure
• Producing and storing spin-squeezed states and Greenberger-Horne-Zeilinger states in a one-dimensional optical lattice
• Optimization of device-independent witnesses of entanglement depth from two-body correlators
• Characterizing quantum correlations in spin chains
• Inferring Nonlinear Many-Body Bell Inequalities From Average Two-Body Correlations: Systematic Approach for Arbitrary Spin-j Ensembles
• Tunable-spin-model generation with spin-orbit-coupled fermions in optical lattices
• Spin-squeezed atomic crystal
• Simulating the same physics with two distinct Hamiltonians
• Effect of one-, two-, and three-body atom loss processes on superpositions of phase states in Bose-Josephson junctions
• Quantum-enhanced interferometry and the structure of twisted states
• Adiabaticity when raising a uniform 3D optical lattice in a bimodal Bose-Einstein condensate

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