Quantum Non-Locality in Systems with Open Boundaries: Limitations of the Wigner function formalism

Two of quantum mechanics’ more famed and spooky features have been invoked in defending the idea that quantum time is congenial to manifest time. Quantum non-locality is said by some to make a preferred foliation of spacetime necessary, and the collapse of the quantum wavefunction is held to vindicate temporal becoming. Although many philosophers and physicists seek relief from relativity’s assault on time in quantum theory, assistance is not so easily found.

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Zilch vortical effect for fermions

Journal of High Energy Physics ◽

10.1007/jhep05(2021)070 ◽

2021 ◽

Vol 2021 (5) ◽

Author(s):

Artem Alexandrov ◽

Pavel Mitkin

Keyword(s):

Kinetic Theory ◽

Spin Polarization ◽

Wigner Function ◽

Microscopic Theory ◽

Chiral Media ◽

Function Formalism ◽

Chiral Effects ◽

Definition Of ◽

Theory Framework ◽

Full Analogy

Abstract We consider the notion of zilch current that was recently discussed in the literature as an alternative helicity measure for photons. Developing this idea, we suggest the generalization of the zilch for the systems of fermions. We start with the definition of the photonic zilch current in chiral kinetic theory framework and work out field-theoretical definition of the fermionic zilch using the Wigner function formalism. This object has similar properties to the photonic zilch and is conserved in the non-interacting theory. We also show that, in full analogy with a case of photons, the fermionic zilch acquires a non-trivial contribution due to the medium rotation - zilch vortical effect (ZVE) for fermions. Combined with a previously studied ZVE for photons, these results form a wider set of chiral effects parameterized by the spin of the particles and the spin of the current. We briefly discuss the origin of the ZVE, its possible relation to the anomalies in the underlying microscopic theory and possible application for studying the spin polarization in chiral media.

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Quantum Statistics of the Toda Oscillator in the Wigner Function Formalism

Annalen der Physik ◽

10.1002/andp.19885000811 ◽

1988 ◽

Vol 500 (8) ◽

pp. 614-625 ◽

Cited By ~ 2

Author(s):

Günter Vojta ◽

Matthias Vojta

Keyword(s):

Wigner Function ◽

Quantum Statistics ◽

Function Formalism

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Trichotomic Observables, Eberhard’s Inequality and Parametric-Down Conversion Sources in Quantum Non-Locality Experiments

Coherence and Quantum Optics VII ◽

10.1007/978-1-4757-9742-8_202 ◽

1996 ◽

pp. 663-664

Author(s):

Augusto Garuccio

Keyword(s):

Quantum Non Locality ◽

Parametric Down Conversion ◽

Down Conversion ◽

Non Locality

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Branching Space-Times

10.1093/oso/9780190884314.001.0001 ◽

2021 ◽

Author(s):

Nuel Belnap ◽

Thomas Müller ◽

Tomasz Placek

Keyword(s):

Single Case ◽

Formal Analysis ◽

Rigorous Theory ◽

Quantum Non Locality ◽

Foundations Of Physics ◽

Local Contexts ◽

Rigorous Framework ◽

Non Local ◽

Spatio Temporal ◽

Non Locality

This book develops a rigorous theory of indeterminism as a local and modal concept. Its crucial insight is that our world contains events or processes with alternative, really possible outcomes. The theory aims at clarifying what this assumption involves, and it does it in two ways. First, it provides a mathematically rigorous framework for local and modal indeterminism. Second, we support that theory by spelling out the philosophically relevant consequences of this formulation and by showing its fruitful applications in metaphysics. To this end, we offer a formal analysis of modal correlations and of causation, which is applicable in indeterministic and non-local contexts as well. We also propose a rigorous theory of objective single-case probabilities, intended to represent degrees of possibility. In a third step, we link our theory to current physics, investigating how local and modal indeterminism relates to issues in the foundations of physics, in particular, quantum non-locality and spatio-temporal relativity. The book also ventures into the philosophy of time, showing how the theory’s resources can be used to explicate the dynamic concept of the past, present, and future based on local indeterminism.

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