Detection of Bell correlations at finite temperature from matter-wave interference fringes
arXiv:1903.03367 · doi:10.1103/PhysRevA.99.062115
Abstract
We show that matter-wave interference fringes formed by two overlapping atomic clouds can yield information about the non-local Bell correlations. To this end, we consider a simple atomic interferometer, where the clouds are released from the double-well potential and the relative phase is estimated from the density fit to this interference pattern. The Bell correlations can be deduced from the sensitivity of the phase obtained in this way. We examine the relation between these two quantities for a wide range of ground states of the double-well, scanning through the attractive and the repulsive interactions. The presented analysis includes the effects of finite temperature, when excited states are thermally occupied. We also consider the impact of the spatial resolution of the single-atom detectors and the fluctuations of the energy mismatch between the wells. These results establish a link between the fundamental (non-locality) and application-oriented (quantum metrology) aspects of entanglement.
arXiv comment5 pages, 2 figures
References in corpus (35)
- Quantum entanglement
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Bell nonlocality
- Quantum metrology with nonclassical states of atomic ensembles
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- Measuring entanglement entropy through the interference of quantum many-body twins
- Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- Josephson Junction Arrays with Bose-Einstein Condensates
- Squeezing and entanglement in a Bose-Einstein condensate
- Fisher information and multiparticle entanglement
- Multipartite entanglement and high precision metrology
- Spatial quantum noise interferometry in expanding ultracold atom clouds
- Entanglement in a second order quantum phase transition
- Integrated Mach-Zehnder interferometer for Bose-Einstein condensates
- Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice
- Bell Correlations in a Bose-Einstein Condensate
- Detecting non-locality in multipartite quantum systems with two-body correlation functions
- Observation of Quantum Phase Transitions with Parity-Symmetry Breaking and Hysteresis
- Crossing Over from Attractive to Repulsive Interactions in a Tunneling Bosonic Josephson Junction
- Dynamic generation of spin-squeezed states in bosonic Josephson junctions
- Spatial entanglement of bosons in optical lattices
- Sub Shot-Noise Phase Sensitivity with a Bose-Einstein Condensate Mach-Zehnder Interferometer
- Multipartite Entanglement at Finite Temperature
- Quantum Criticality in a Bosonic Josephson Junction
- Quantum phase transition and critical fluctuations of an attractive Bose gas in a double well potential
- Energy as a detector of nonlocality of many-body spin systems
- Bell correlations in a many-body system with finite statistics
- Bell inequality, Einstein-Podolsky-Rosen steering and quantum metrology with spinor Bose-Einstein condensates
- Sub shot-noise interferometry from measurements of the one-body density
- Bell correlations at finite temperature
- Nonlocality with ultracold atoms in a lattice