Irrealism from fringe visibility in matter-wave double-slit interference with initial contractive states
arXiv:2004.13773 · doi:10.1103/PhysRevA.102.052205
Abstract
The elements of reality coined by Einstein, Podoslky, and Rosen promoted a series of fundamental discussions involving the notion of quantum correlations and physical realism. The superposition principle applied in the double-slit experiment with matter waves highlights the need for a critical review of the adoption of physical realism in the quantum realm. In this work, we employ a measure of physical irrealism and consider an initial contractive state in the double-slit setup for which position and momentum variables of a single particle are initially correlated. We investigate how the behavior of the irrealism can help us to obtain information about the interference pattern, wavelike, and particle-like properties in the double-slit setup with matter waves. We find that there is a time of propagation that minimizes the irrealism, and around this point the state at the detection screen is squeezed in position and momentum in comparison with the standard Gaussian superposition. Interestingly, we show that the maximum visibility and the number of interference fringes are related to the minimum of the irrealism. Moreover, we demonstrate a monotonic relation between the irrealism and visibility around the time of minimum. Then, we argue how to use these results to indirectly measure the irrealism for position variable from the fringe visibility.
arXiv comment12 pages, 7 figures, typos removed, closer to the published version
References in corpus (32)
- Gaussian Quantum Information
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Quantifying Coherence
- Significant-loophole-free test of Bell's theorem with entangled photons
- A strong loophole-free test of local realism
- Entropic Uncertainty Relations and their Applications
- A quantum delayed choice experiment
- Entanglement-enabled delayed choice experiment
- Controlled double-slit electron diffraction
- Proposal for a quantum delayed-choice experiment
- Weak-Measurement Elements of Reality
- Experimental analysis of the quantum complementarity principle
- Wave-particle duality: an information-based approach
- Quantitative complementarity in two-path interferometry
- A measure of physical reality
- Information-reality complementarity: The role of measurements and quantum reference frames
- How do wave packets spread? Time evolution on Ehrenfest time scales
- Loss of coherence in double-slit diffraction experiments
- Nonanomalous measure of realism-based nonlocality
- Nonlocality, quantum correlations, and violations of classical realism in the dynamics of two noninteracting quantum walkers
- Realism-information complementarity in photonic weak measurements
- Resilience of realism-based nonlocality to local disturbance
- Hardy's paradox as a demonstration of quantum irrealism
- Simple examples of position-momentum correlated Gaussian free-particle wavepackets in one-dimension with the general form of the time-dependent spread in position
- Information-based approach towards a unified resource theory
- Tripartite realism-based quantum nonlocality
- Shannon entropy as a measure of uncertainty in positions and momenta
- Quantifying continuous-variable realism
- Weak quantum discord
- Uncertainty-Reality Complementarity and Entropic Uncertainty Relations
- Dispersion and uncertainty in multislit matter wave diffraction
- Position-momentum correlations in matter waves double-slit experiment
Cited by in corpus (13)
- Experimental assessment of physical realism in a quantum-controlled device
- Thermal devices powered by generalized measurements with indefinite causal order
- Coherence and realism in the Aharonov-Bohm effect
- Enhancing Gaussian quantum metrology with position-momentum correlations
- Macroscopic delayed-choice and retrocausality: quantum eraser, Leggett-Garg and dimension witness tests with cat states
- Realism-based nonlocality: Invariance under local unitary operations and asymptotic decay for thermal correlated states
- Gouy phase and quantum interference with cross-Wigner functions for matter-waves
- High-dimensional monitoring and the emergence of realism via multiple observers
- Weak versus deterministic macroscopic realism, and Einstein-Podolsky-Rosen's elements of reality
- Geometric monotones of violations of quantum realism
- Quantum observable's reality erasure with spacelike-separated operations
- Correlating Local Quantum Reality with Causally Disconnected Choices
- Temperature and non-Markovian parameter estimation in quantum Brownian motion