Quantum interference experiments, modular variables and weak measurements

Abstract

We address the problem of interference using the Heisenberg picture and highlight some new aspects through the use of pre-selection, post-selection, weak measurements, and modular variables, We present a physical explanation for the different behaviors of a single particle when the distant slit is open or closed: instead of having a quantum wave that passes through all slits, we have a localized particle with non-local interactions with the other slit(s). We introduce a Gedankenexperiment to measure this non-local exchange. While the Heisenberg picture and the Schrodinger pictures are equivalent formulations of quantum mechanics, nevertheless, the results discussed here support a new approach which has led to new insights, new intuitions, new experiments, and even the possibility of new devices that were missed from the old perspective.

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Cited by in corpus (39)

• Nonperturbative theory of weak pre- and post-selected measurements
• Understanding quantum measurement from the solution of dynamical models
• Broadening the scope of weak quantum measurements I: A single particle accurately measured yet left superposed
• Broadening the scope of weak quantum measurements II: Past and future measurement effects within a double Mach-Zehnder-interferometer setting
• Modular values and weak values of quantum observables
• On the role of complex phases in the quantum statistics of weak measurements
• Detecting entanglement in spatial interference
• Experimental realization of post-selected weak measurements on an NMR quantum processor
• Interferences in quantum eraser reveal geometric phases in modular and weak values
• Electroencephalographic field influence on calcium momentum waves
• Advantages of nonclassical pointer states in postselected weak measurements
• Geometric description of modular and weak values in discrete quantum systems using the Majorana representation
• Emergence of Quantum Mechanics from a Sub-Quantum Statistical Mechanics
• Weak value amplification of photon number operators in the optomechanical interaction
• Nonlocal Young tests with Einstein-Podolsky-Rosen correlated particle pairs
• Dynamical nonlocality in quantum time via modular operators
• Implications of a deeper level explanation of the deBroglie-Bohm version of quantum mechanics
• Uncertainty in the context of multislit interferometry
• Single-photon-added coherent state based measurement transition and its advantages in precision measurement
• Quantum Non-Barking Dogs
• "Systemic Nonlocality" from Changing Constraints on Sub-Quantum Kinematics
• General approach of weak-to-strong measurement transition for Fock-state-based pointer states
• Detection of quantum interference without interference
• Effects of postselected von Neumann measurement on nonclassicality of single-photon-added coherent state
• Vacuum Landscaping: Cause of Nonlocal Influences without Signaling
• Multi-slit interferometry and commuting functions of position and momentum
• Direct Measurement Methods of Density Matrix of an Entangled Quantum State
• Wigner distribution on a double cylinder phase space for studying quantum error correction protocol
• On the Power of Weak Measurements in Separating Quantum States
• A Classical Framework for Nonlocality and Entanglement
• M-indeterminate distributions in quantum mechanics and the non-overlapping wave function paradox
• Pre- and post-selected measurements with coupling-strength-dependent modulation
• Theoretical investigation of the relations between quantum decoherence and weak-to-strong measurement transition
• Weak Measurement of Berry's Phase
• Conditions for Lorentz-invariant superluminal information transfer without signaling
• An explicit Schrödinger picture for Aharonov's Modular Variable concept
• Measure the temperature of the spin via weak measurement
• Hidden tensor structures
• Understanding quantum interference in General Nonlocality