Generation of macroscopic singlet states in atomic ensembles

Abstract

We study squeezing of the spin uncertainties by quantum non-demolition (QND) measurement in non-polarized spin ensembles. Unlike the case of polarized ensembles, the QND measurements can be performed with negligible back-action, which allows, in principle, perfect spin squeezing as quantified by [G. Toth et al., Phys. Rev. Lett. 99, 250405 (2007)]. The generated spin states approach many-body singlet states, and contain a macroscopic number of entangled particles, even when individual spin is large. We introduce the Gaussian treatment of unpolarized spin states and use it to estimate the achievable spin squeezing for realistic experimental parameters. Our proposal might have applications for magnetometry with a high spatial resolution or quantum memories storing information in decoherence free subspaces.

9 pages including 2 figures, revtex4; v2: longer introduction, more details of the derivation are presented, v3: published version

References in corpus (16)

• Entanglement detection
• Entanglement, Non-linear Dynamics, and the Heisenberg Limit
• Experimental demonstration of quantum memory for light
• Mesoscopic atomic entanglement for precision measurements beyond the standard quantum limit
• Optimal spin squeezing inequalities detect bound entanglement in spin models
• Spin squeezing and entanglement
• Classical and quantum communication without a shared reference frame
• Quantum Non-Demolition Detection of Strongly Correlated Systems
• Spin squeezing of atomic ensembles via nuclear-electronic spin entanglement
• Entanglement Detection in Optical Lattices of Bosonic Atoms with Collective Measurements
• Polarization-based Light-Atom Quantum Interface with an All-optical Trap
• Quantum Description of Nuclear Spin Cooling in a Quantum Dot
• Conditions for spin squeezing in a cold 87Rb ensemble
• Atomic spin squeezing in an optical cavity
• Dynamical creation of bosonic Cooper-like pairs
• Entanglement of zero angular momentum mixtures and black hole entropy

Cited by in corpus (45)

• Quantum metrology with nonclassical states of atomic ensembles
• Quantum metrology from a quantum information science perspective
• Multipartite entanglement and high precision metrology
• Magnetic sensitivity beyond the projection noise limit by spin squeezing
• Spin squeezing inequalities for arbitrary spin
• Measurement-induced nonlocal entanglement in a hot, strongly-interacting atomic system
• Spin squeezing and entanglement for arbitrary spin
• Generation of macroscopic singlet states in a cold atomic ensemble
• Planar quantum squeezing and atom interferometry
• Quantum metrology with one-dimensional superradiant photonic states
• Thermometry Precision in Strongly Correlated Ultracold Lattice Gases
• Macroscopic singlet states for gradient magnetometry
• Certified quantum non-demolition measurement of a macroscopic material system
• Precision bounds for gradient magnetometry with atomic ensembles
• Ultrasensitive Atomic Spin Measurements with a Nonlinear Interferometer
• Quantum atom-light interfaces in the gaussian description for spin-1 systems
• Feedback-cooling of an atomic spin ensemble
• Engineering steady states using jump-based feedback for multipartite entanglement generation
• Uncertainty relations with the variance and the quantum Fisher information based on convex decompositions of density matrices
• Planar squeezing by quantum non-demolition measurement in cold atomic ensembles
• Quantum control of spin-correlations in ultracold lattice gases
• Efficient quantification of non-Gaussian spin distributions
• Subradiant-to-Subradiant Phase Transition in the Bad Cavity Laser
• Evidence for entanglement at high temperatures in an engineered molecular magnet
• Inferring Nonlinear Many-Body Bell Inequalities From Average Two-Body Correlations: Systematic Approach for Arbitrary Spin-j Ensembles
• Effects of spin-exchange collisions on the fluctuation spectra of hot alkali-metal vapors
• Low-noise macroscopic twin beams
• Collective randomized measurements in quantum information processing
• Number-phase uncertainty relations and bipartite entanglement detection in spin ensembles
• Quantum communication with macroscopically bright nonclassical states
• Certified quantum non-demolition measurement of material systems
• Real-time shot-noise-limited differential photodetection for atomic quantum control
• Quantum Wasserstein distance based on an optimization over separable states
• Many-body singlets by dynamic spin polarization
• Efficient generation of many-body singlet states of spin-1 bosons in optical superlattices
• Generating coherent state of entangled spins
• Deterministic preparation of supersinglets with collective spin projections
• Alternatives of entanglement depth and metrological entanglement criteria
• A many-body singlet prepared by a central spin qubit
• Preparing the spin-singlet state of a spinor gas in an optical cavity
• Generation of multipartite spin entanglement from multimode squeezed states
• Multimode non-Gaussian secure communication under mode-mismatch
• Phase-Space Methods for Many-Body Quantum Optics
• $su(d)$-squeezing and many-body entanglement geometry in finite-dimensional systems
• Lattice-enabled detection of spin-dependent three-body interactions