Squeezing and entanglement in a Bose-Einstein condensate

Abstract

Entanglement, a key feature of quantum mechanics, is a resource that allows the improvement of precision measurements beyond the conventional bound reachable by classical means. This is known as the standard quantum limit, already defining the accuracy of the best available sensors for various quantities such as time or position. Many of these sensors are interferometers in which the standard quantum limit can be overcome by feeding their two input ports with quantum-entangled states, in particular spin squeezed states. For atomic interferometers, Bose-Einstein condensates of ultracold atoms are considered good candidates to provide such states involving a large number of particles. In this letter, we demonstrate their experimental realization by splitting a condensate in a few parts using a lattice potential. Site resolved detection of the atoms allows the measurement of the conjugated variables atom number difference and relative phase. The observed fluctuations imply entanglement between the particles, a resource that would allow a precision gain of 3.8 dB over the standard quantum limit for interferometric measurements.

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• Quantum entanglement and Hawking temperature
• Detecting Macroscopic Indefiniteness of Cat States in Bosonic Interferometers
• Entanglement via a three-well Bose-Hubbard system and via an optical beamsplitter
• Assessing small accelerations using a bosonic Josephson junction
• Entanglement Dynamics between Ising Spins and a Central Ancilla
• One-dimensional atomic superfluids as a model system for quantum thermodynamics
• Strong-coupling dynamics of Bose-Einstein condensate in a double-well trap
• Creating atom-number states around tapered optical fibres by loading from an optical lattice
• Decoherence effects in Bose-Einstein condensate interferometry. I General Theory
• Multimode analysis of non-classical correlations in double well Bose-Einstein condensates
• Generation of entanglement and non-stationary states via competing coherent and incoherent bosonic hopping
• Coherence Times of Bose-Einstein Condensates beyond the Shot-Noise Limit via Superfluid Shielding
• Spin correlations and entanglement in partially magnetised ensembles of fermions
• Intra- and interband excitations induced residue decay of the Bose polaron in a one-dimensional double-well
• How to probe the microscopic onset of irreversibility with ultracold atoms
• Improved variational approach to the two-site Bose-Hubbard model
• Phase space theory of Bose-Einstein condensates and time-dependent modes
• Scattering tightly bound dimers off a scattering potential
• Symmetry: a fundamental resource for quantum coherence and metrology
• Detection of Bell correlations at finite temperature from matter-wave interference fringes
• Chaotic and regular dynamics in the three-site Bose-Hubbard model
• Heisenberg Operator Approach for Spin Squeezing Dynamics
• Entangled states from sparsely coupled spins for metrology with neutral atoms
• Hybrid approximation approach to generation of atomic squeezing with quantum nondemolition measurements
• Cavity-assisted enhanced and dephasing immune squeezing in the resonance fluorescence of a single quantum dot
• Matter-wave scattering on a BEC in a double-well potential
• Number squeezed and fragmented states of strongly interacting bosons in a double well
• Squeezed and fragmented states of strongly interacting bosons in a double well. Part II: Quantum Monte Carlo simulations
• Irreversible photon transfer in an ensemble of $\Lambda$-type atoms and photon diode
• Short-time expansion of Heisenberg operators in open collective quantum spin systems
• Maximum Violation of Monogamy of Entanglement for Indistinguishable Particles by Measures that are Monogamous for Distinguishable Particles
• Out of equilibrium mean field dynamics in the transverse field Ising model
• Entanglement of condensed magnons via momentum-space fragmentation
• Particle Correlations in Bose-Einstein Condensates
• Mixed-state geometric phases of coherent and squeezed spin states
• Simulating Quantum Turbulence with Matrix Product States
• Distinguishing mesoscopic quantum superpositions from statistical mixtures in periodically shaken double wells
• Robust sub-shot-noise measurement via Rabi-Josephson oscillations in bimodal Bose-Einstein condensates
• Implementation of quantum logic gates using coupled Bose-Einstein condensates
• Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave Interferometers
• Effective thermodynamics of isolated entangled squeezed and coherent states
• Quantum interferometry in multi-mode systems
• Entanglement storage by classical fixed points in the two-axis countertwisting model
• Decoherence induced spin squeezing signatures in Greenberger-Horne-Zeilinger and W states
• High accuracy energy formulas for the attractive two-site Bose-Hubbard model
• Generalized wave-packet model for studying coherence of matter-wave interferometers
• Engineering long-lived entanglement through dissipation in quantum hybrid solid-state platforms
• Control of the vortex lattice formation in coupled atom-molecular Bose-Einstein condensate in a double well potential: Role of atom-molecule coupling, trap rotation frequency and detuning
• Enhancing Nonreciprocity through Squeezing-Induced Symmetry Breaking
• Cooperatively-enhanced precision of hybrid light-matter sensors
• Spin squeezing an ultracold molecule
• Error estimation of different schemes to measure spin-squeezing inequalities
• Minimal scattering entanglement in one-dimensional trapped gases
• Bayesian Frequency Metrology with Optimal Ramsey Interferometry in Optical Atomic Clocks
• Inelastic scattering of atoms in a double well
• Non-Gaussian entanglement criteria for atomic homodyne detection
• An atomic Fabry-Perot interferometer-based acceleration sensor for microgravity environments
• Decay of symmetry-protected quantum states
• Dynamical formation of two-fold fragmented many-body state induced by an impurity in a double-well
• Temporal correlations of elongated Bose gases at finite temperature
• Caustics in the sine-Gordon model from quenches in coupled 1D Bose gases
• Exact solution of the two-axis two-spin Hamiltonian
• Tailored generation of quantum states in an entangled spinor interferometer to overcome detection noise
• Quantum states preparation of an atomic ensemble via cavity-assisted homodyne measurement
• Quantum interferometry at zero and finite temperature with two-mode bosonic Josephson junctions
• Spin squeezing from bilinear spin-spin interactions: two simple theorems
• Multipartite entanglement in quantum phase transitions
• Entanglement of macroscopically distinct states of light
• Binary Homodyne Detection for Observing Quadrature Squeezing in Satellite Links
• Generating large-scale Greenberger-Horne-Zeilinger-like states in lattice spin systems
• Generation of squeezed optical states via stored classical pulses in a Bose gas
• Quantum correlations protection through spin self-rephasing in 1-D Bose gas
• Uncertainty, von Neumann Entropy, and Squeezing in a Bipartite State of Two-Level Atoms
• Thermodynamics and State Preparation in a Two-State System of Light
• Reference-frame-independent quantum metrology
• Teleportation of a quantum state of a spatial mode with a single massive particle
• Josephson oscillation in the dissipative Bose-Hubbard dimer
• Evolution of entanglement under an Ising-like Hamiltonian with particle losses
• Multipartite entangled states in dipolar quantum simulators
• Proposal for spin squeezing in rare-earth ion-doped crystals with a four-color scheme
• Spin Squeezing, Macrorealism and the Heisenberg uncertainty principle
• Coherence-mediated squeezing of cavity field coupled to a coherently driven single quantum dot
• Scaling laws for the sensitivity enhancement of non-Gaussian spin states
• Quantum nature of gravity in a Bose-Einstein condensate
• Tunable Bistability in Hybrid Bose-Einstein Condensate Optomechanics
• Generating Entanglement between Atomic Spins with Low-Noise Probing of an Optical Cavity
• Insulating-to-conducting state transition in the bilayer Hubbard model induced by a perpendicular quench field
• Improvement of phase sensitivity in SU(1,1) interferometer via a Kerr nonlinear
• Decoherence assisted spin squeezing generation in superposition of tripartite GHZ and W states
• Densities probabilities of a Bose-Fermi Mixture in 1D Double well potential
• Asymmetric Foucault pendulum dynamics with analogies to the Lipkin-Meshkov-Glick quantum phase transitions and other quantum phenomena