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arXiv:1512.03701 · Scientific Reports

Geometric reduction of dynamical nonlocality in nanoscale quantum circuits

E. Strambini, K. S. Makarenko, G. Abulizi, M. P. de Jong, Wilfred G. van der Wiel

Published Jan 6, 2016• 2 citations
arXivHTMLPDF

Abstract

Nonlocality is a key feature discriminating quantum and classical physics. Quantum-interference phenomena, such as Young's double slit experiment, are one of the clearest manifestations of nonlocality, recently addressed as dynamical to specify its origin in the quantum equations of motion. It is well known that loss of dynamical nonlocality can occur due to (partial) collapse of the wavefunction due to a measurement, such as which-path detection. However, alternative mechanisms affecting dynamical nonlocality have hardly been considered, although of crucial importance in many schemes for quantum information processing. Here, we present a fundamentally different pathway of losing dynamical nonlocality, demonstrating that the detailed geometry of the detection scheme is crucial to preserve nonlocality. By means of a solid-state quantum-interference experiment we quantify this effect in a diffusive system. We show that interference is not only affected by decoherence, but also by a loss of dynamical nonlocality based on a local reduction of the number of quantum conduction channels of the interferometer. With our measurements and theoretical model we demonstrate that this mechanism is an intrinsic property of quantum dynamics. Understanding the geometrical constraints protecting nonlocality is crucial when designing quantum networks for quantum information processing.

DOI
10.1038/srep18827

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Nonlocality is a key feature discriminating quantum and classical physics. Quantum-interference phenomena, such as Young's double slit experiment, are one of the clearest manifestations of nonlocality, recently addressed as dynamical to specify its origin in the quantum equations of motion. It is well known that loss of dynamical nonlocality can occur due to (partial) collapse of the wavefunction due to a measurement, such as which-path detection. However, alternative mechanisms affecting dynamical nonlocality have hardly been considered, although of crucial importance in many schemes for quantum information processing. Here, we present a fundamentally different pathway of losing dynamical nonlocality, demonstrating that the detailed geometry of the detection scheme is crucial to preserve nonlocality. By means of a solid-state quantum-interference experiment we quantify this effect in a diffusive system. We show that interference is not only affected by decoherence, but also by a loss of dynamical nonlocality based on a local reduction of the number of quantum conduction channels of the interferometer. With our measurements and theoretical model we demonstrate that this mechanism is an intrinsic property of quantum dynamics. Understanding the geometrical constraints protecting nonlocality is crucial when designing quantum networks for quantum information processing.
The double slit experiment provides a classic example of both interference and the effect of observation in quantum physics. When particles are sent individually through a pair of slits, a wave-like interference pattern develops, but no such interference is found when one observes which "path" the particles take. We present a model of interference, dephasing, and measurement-induced decoherence in a one-dimensional version of the double-slit experiment. Using this model, we demonstrate how the loss of interference in the system is correlated with the information gain by the measuring apparatus/observer. In doing so, we give a modern account of measurement in this paradigmatic example of quantum physics that is accessible to students taking quantum mechanics at the graduate or senior undergraduate levels.
This paper offers a strictly deterministic and causal resolution to the iconic Double-Slit Experiment, eradicating the need for the mysticism inherent in the "observer effect" and classical wave-particle duality. Using the Quantum Diffusion (QD) framework, it is shown that the particle does not possess a dual nature, but is invariably a topological perturbation (tensor wave) of the 12-dimensional subspace 𝐹μν. The interference pattern arises from the flow of this perturbation through channels of high spatial diffusivity 𝐷. Furthermore, it is shown that the "wavefunction collapse" induced by a detector is not a product of conscious observation, but rather of the physical injection of gauge asymmetry and electromagnetic friction into the slits, which drastically alters the local diffusivity gradient, destroying the geometric coherence of the tensor wave and forcing a localized trajectory.
]. We rise to the challenge with an alternative to the wave function-centered interpretations: instead of a quantum wave passing through both slits, we have a localized particle with nonlocal interactions with the other slit. Key to this explanation is dynamical nonlocality, which naturally appears in the Heisenberg picture as nonlocal equations of motion. This insight led us to develop an approach to quantum mechanics which relies on pre- and postselection, weak measurements, deterministic, and modular variables. We consider those properties of a single particle that are deterministic to be primal. The Heisenberg picture allows us to specify the most complete enumeration of such deterministic properties in contrast to the Schrödinger wave function, which remains an ensemble property. We exercise this approach by analyzing a version of the double-slit experiment augmented with postselection, showing that only it and not the wave function approach can be accommodated within a time-symmetric interpretation, where interference appears even when the particle is localized. Although the Heisenberg and Schrödinger pictures are equivalent formulations, nevertheless, the framework presented here has led to insights, intuitions, and experiments that were missed from the old perspective.
I have been arguing that quantum nonlocality, deeply entrenched in the present formalism of quantum mechanics and widely believed as a reality by physicists, is in fact absent. Spooky nonlocal state reduction is the most, and perhaps the only irrational feature of present day physics. There are experimental results that reject nonlocal state reduction at a distance. Also, there are arguments that show that signal locality itself can be violated if there is true nonlocal collapse of the wavefunction. The Bell's inequalities, the violation of which polarized physicists in favour of nonlocality, arise not due to nonlocality, but due to ignoring prior information on correlations encoded in the phase of local probability amplitudes. Here I discuss an experiment involving particles entangled in energy and time variables that shows that there is no nonlocal state reduction during measurements on entangled particles. Quantum mechanics is inconsistent if it includes the concept of wavefunction collapse as a physical process for entangled multi-particle systems.
The double-slit experiment is the heart of quantum mechanics, yet its standard interpretation relies on the postulate of wavefunction probability amplitude. Starting from Space Ontology, we demonstrate that interference phenomena can be entirely derived from the geometric properties of classical spatial modes, without introducing probability amplitudes. Each slit is modeled as a localized soliton solution of the spatial orientation field equation; the interference pattern arises from the linear superposition of two mode energy densities in the far field. The key discovery is that the interference visibility V is uniquely determined by the geometric entanglement entropy E_geo of the modes, satisfying V = tanh(2E_geo). Here E_geo = ln Lambda(alpha) is a function of the mode's shape parameter alpha — a Gaussian mode (alpha=2) has zero entropy and cannot interfere, while a flat mode (alpha>2) carries large coherent capacity. This theory naturally explains the which-way and quantum eraser experiments: path marking introduces a third mode that dilutes correlations via the many-body correlation reduction theorem; erasure corresponds to the decoupling of that mode. As a flagship validation, we show that the theory quantitatively accounts for the macroscopic interference of 7000-atom sodium clusters, predicting a coherence width of approximately 66 nm — confirmed by experiment. Two testable predictions are proposed: a boundary shape compression effect, and a material-dependent visibility for nanoclusters of different compositions. This work demonstrates that wave-particle duality is not a mysterious quantum feature, but a manifestation of the geometric entanglement entropy of spatial modes — the flatter the mode, the greater the coherence capacity, and the clearer the interference. This paper is the second in the first series (17 papers total) of Space Ontology.
We propose that the double-slit interference pattern is not a mysterious quantum phenomenon requiring special postulates. It is instead the straightforward, almost inevitable outcome when a localized entropy-density gradient packet propagates through a sparse region of the pre-geometric lattice, where residual primordial bonds remain active and couple both paths sub-locally. Non-interference occurs only when a measurement apparatus partitions those primordial bonds. This perspective follows directly from the single scalar ontology developed in The Entropic Universe (EUT I and II). Interference emerges as the default behavior of lattice energy minimization; the loss of interference requires an additional physical process (local partitioning of the primordial layer). The explanation unifies the double-slit with entanglement, retrocausality, and black-hole information preservation without introducing new equations or entities. A simple schematic illustrates the role of emergent spatial paths versus sub-local primordial bonds. The paper is intended as an accessible companion piece to the main EUT papers.