Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems
arXiv:2112.06496 · doi:10.1016/j.pquantelec.2022.100396
Abstract
This paper reviews the progress that has been made in our knowledge of quantum correlations at the mesoscopic and macroscopic level. We begin by summarizing the Einstein-Podolsky-Rosen (EPR) argument and the Bell correlations that cannot be explained by local hidden variable theories. It was originally an open question as to whether (and how) such quantum correlations could occur on a macroscopic scale, since this would seem to counter the correspondence principle. The purpose of this review is to examine how this question has been answered over the decades since the original papers of EPR and Bell. We first review work relating to higher spin measurements which revealed that macroscopic quantum states could exhibit Bell correlations. This covers higher dimensional, multi-particle and continuous-variable EPR and Bell states where measurements on a single system give a spectrum of outcomes, and also multipartite states where measurements are made at multiple separated sites. It appeared that the macroscopic quantum observations were for an increasingly limited span of measurement settings and required a fine resolution of outcomes. Motivated by this, we next review correlations for macroscopic superposition states, and examine predictions for the violation of Leggett-Garg inequalities for dynamical quantum systems. These results reveal Bell correlations for coarse-grained measurements which need only distinguish between macroscopically distinct states, thus bringing into question the validity of certain forms of macroscopic realism. Finally, we review progress for massive systems, including Bose-Einstein condensates and optomechanical oscillators, where EPR-type correlations have been observed between massive systems. Experiments are summarized, which support the predictions of quantum mechanics in mesoscopic regimes.
References in corpus (78)
- Sideband Cooling Micromechanical Motion to the Quantum Ground State
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Optomechanical entanglement between a movable mirror and a cavity field
- 14-qubit entanglement: creation and coherence
- Nonlinear atom interferometer surpasses classical precision limit
- A Spin Entanglement Witness for Quantum Gravity
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- Squeezing and entanglement in a Bose-Einstein condensate
- Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity
- Experimental entanglement of six photons in graph states
- Amplification and squeezing of quantum noise with a tunable Josephson metamaterial
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Bounding the set of quantum correlations
- Network of Time-Multiplexed Optical Parametric Oscillators as a Coherent Ising Machine
- Towards fault-tolerant quantum computing with trapped ions
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- Twin matter waves for interferometry beyond the classical limit
- Quantification of Gaussian quantum steering
- Robust entanglement of a micromechanical resonator with output optical fields
- Witnessing Quantum Coherence: from solid-state to biological systems
- Weak values and the Leggett-Garg inequality in solid-state qubits
- Bell Inequalities for Graph States
- Two-mode squeezed states in cavity optomechanics via engineering of a single reservoir
- Entanglement-enabled delayed choice experiment
- Gravitational Decoherence
- Quantum-mechanics free subsystem with mechanical oscillators
- Establishing EPR-channels between Nanomechanics and Atomic Ensembles
- Direct generation of three-photon polarization entanglement
- Ideal negative measurements in quantum walks disprove theories based on classical trajectories
- The conditions for quantum violation of macroscopic realism
- Full characterization of Gaussian bipartite entangled states by a single homodyne detector
- Quantifying decoherence in continuous variable systems
- Experimental violation of Svetlichny's inequality
- Detection loophole in asymmetric Bell experiments
- Entangling a nanomechanical resonator and a superconducting microwave cavity
- Bell inequalities for continuous-variable correlations
- Spin squeezing in a bimodal condensate: spatial dynamics and particle losses
- Deterministic protocol for mapping a qubit to coherent state superpositions in a cavity
- All entangled pure states violate a single Bell's inequality
- EPR entanglement strategies in two-well BEC
- Distinguishing quantum and classical transport through nanostructures
- Failure of Local Realism Revealed by Extremely Coarse-Grained Measurements
- Strong Violations of Bell-type Inequalities for Path-Entangled Number States
- Transfer of Nonclassical Properties from A Microscopic Superposition to Macroscopic Thermal States in The High Temperature Limit
- Einstein-Podolsky-Rosen Entanglement of Narrowband Photons from Cold Atoms
- Necessary and sufficient detection efficiency for the Mermin inequalities
- Phase control of entanglement and quantum steering in a three-mode optomechanical system
- Detection of continuous variable entanglement without coherent local oscillators
- Experimental characterization of Gaussian quantum communication channels
- Detecting entanglement in spatial interference
- The Leggett-Garg inequality in electron interferometers
- Einstein-Podolsky-Rosen Correlations of Ultracold Atomic Gases
- Quantum superpositions and entanglement of thermal states at high temperatures and their applications to quantum information processing
- Criteria for generalized macroscopic and mesoscopic quantum coherence
- Overcoming decoherence of cat-states formed in a cavity using squeezed-state inputs
- General correlation functions of the Clauser-Horne-Shimony-Holt inequality for arbitrarily high-dimensional systems
- Quantifying the mesoscopic quantum coherence of approximate NOON states and spin-squeezed two-mode Bose-Einstein condensates
- Interference experiment, anomalous weak value and Leggett-Garg test of macrorealism
- Two-Setting Bell Inequalities for Many Qubits
- Full multipartite steering inseparability, genuine multipartite steering and monogamy for continuous variable systems
- Quantum- vs. Macro- Realism: What does the Leggett-Garg Inequality actually test?
- Testing the nonclassicality of spacetime: what can we learn from Bell-Bose et al.-Marletto-Vedral experiments?
- Experimental Violation of Bell Inequality beyond Cirel'son's Bound
- Leggett-Garg tests for macrorealism: interference experiments and the simple harmonic oscillator
- Massively-multiplexed generation of Bell-type entanglement using a quantum memory
- Maximal violation of tight Bell inequalities for maximal high-dimensional entanglement
- Delocalized single-photon Dicke states and the Leggett- Garg inequality in solid state systems
- Leggett-Garg tests of macro-realism for dynamical cat-states evolving in a nonlinear medium
- Gaussian states under coarse-grained continuous variable measurements
- Classical model of delayed-choice quantum eraser
- Cooling photon-pressure circuits into the quantum regime
- Quaternions, octonions and Bell-type inequalities
- Tight Correlation-Function Bell Inequality for Multipartite -Dimensional System
- Multiphoton Bell-type inequality: a tool to unearth nonlocality of continuous variable quantum optical systems
- Interference, spectral momentum correlations, entanglement, and Bell inequality for a trapped interacting ultracold atomic dimer: Analogies with biphoton interferometry
- Macroscopic delayed-choice and retrocausality: quantum eraser, Leggett-Garg and dimension witness tests with cat states
- Real-time ghost imaging of Bell-nonlocal entanglement between a photon and a quantum memory
- Einstein-Podolsky-Rosen uncertainty limits for bipartite multimode states