Weekly Papers on Quantum Foundations (10)

The two classes of hybrid classical-quantum dynamics. (arXiv:2203.01332v1 [quant-ph])

上午9:50|Jonathan Oppenheim, Carlo Sparaciari, Barbara Šoda, Zachary Weller-Davies|quant-ph updates on arXiv.org

Coupling between quantum and classical systems is consistent, provided the evolution is linear in the state space, preserves the split of systems into quantum and classical degrees of freedom, and preserves probabilities. The evolution law must be a completely positive and norm preserving map. We prove that if the dynamics is memoryless, there are two classes of these dynamics, one which features finite sized jumps in the classical phase space and one which is continuous. We find the most general form of each class of classical-quantum master equation. This is achieved by applying the complete positivity conditions using a generalized Cauchy-Schwartz inequality applicable to classical-quantum systems. The key technical result is a generalisation of the Pawula theorem.

Testing Gravitational Self-interaction via Matter-Wave Interferometry. (arXiv:2203.01787v1 [quant-ph])

上午9:50|Sourav Kesharee Sahoo, Ashutosh Dash, Radhika Vathsan, Tabish Qureshi|quant-ph updates on arXiv.org

The Schrodinger-Newton equation has frequently been studied as a nonlinear modification of the Schrodinger equation incorporating gravitational self-interaction. However, there is no evidence yet as to whether nature actually behaves this way. This work investigates a possible way to experimentally test gravitational self-interaction. The effect of self-gravity on interference of massive particles is studied by numerically solving the Schrodinger-Newton equation for a particle passing through a double-slit. The results show that the presence of gravitational self-interaction has an effect on the fringe width of the interference that can be tested in matter-wave interferometry experiments. Notably, this approach can distinguish between gravitational self-interaction and environment induced decoherence, as the latter does not affect the fringe width. This result will also provide a way to test if gravity requires to be quantized on the scale of ordinary quantum mechanics.

Casimir effect and Lorentz invariance violation. (arXiv:2203.01812v1 [quant-ph])

上午9:50|S. A. Alavi|quant-ph updates on arXiv.org

The Casimir effect is one of the most direct manifestations of the existence of the vacuum quantum fluctuations, discovered by H. B Casimir in 1948. On the other hand, Lorentz invariance is one of the main and basic concepts in special relativity, which states that, the laws of physics are invariant under Lorentz transformation. In this work, we calculate the corrections imposed by LIV on Casimir effect (force). This may provide a direct probe to test LIV in nature.

Causality, Uncertainty Principle, and Quantum Spacetime Manifold in Planck Scale. (arXiv:2108.01353v2 [quant-ph] UPDATED)

上午9:50|physics.hist-ph updates on arXiv.org

Authors: Hamidreza Simchi

In causal set theory, there are three ambiguous concepts that this article tries to provide a solution to resolve these ambiguities. These three ambiguities in Planck’s scale are: the causal relationship between events, the position of the uncertainty principle, and the kinematic. Assuming the interaction between events, a new definition of the causal relationship is presented. Using the principle of superposition, more than one world line are attributed to two events that are interacting with each other to cover the uncertainty principle. Using these achievements, it is shown that kinematics has no place in the Planck dimension and that quantum spacetime manifold should be used instead.

A detector-based measurement theory for quantum field theory. (arXiv:2108.02793v3 [quant-ph] UPDATED)

上午9:50|gr-qc updates on arXiv.org

Authors: José Polo-GómezLuis J. GarayEduardo Martín-Martínez

We propose a measurement theory for quantum fields based on measurements made with localized non-relativistic systems that couple covariantly to quantum fields (like the Unruh-DeWitt detector). Concretely, we analyze the positive operator-valued measure (POVM) induced on the field when an idealized measurement is carried out on the detector after it coupled to the field. Using an information-theoretic approach, we provide a relativistic analogue to the quantum mechanical L\”uders update rule to update the field state following the measurement on the detector. We argue that this proposal has all the desirable characteristics of a proper measurement theory. In particular it does not suffer from the “impossible measurements” problem pointed out by Rafael Sorkin in the 90s which shows that idealized measurements cannot be used in quantum field theory.

Two concepts of noncontextuality in quantum mechanics

2022年3月4日 星期五 上午6:50|Philsci-Archive: No conditions. Results ordered -Date Deposited.

Hofer-Szabó, Gábor (2022) Two concepts of noncontextuality in quantum mechanics. [Preprint]

Lambda and the limits of effective field theory

2022年3月4日 星期五 上午6:48|Philsci-Archive: No conditions. Results ordered -Date Deposited.

Koberinski, Adam and Smeenk, Chris (2022) Lambda and the limits of effective field theory. [Preprint]

Nested modalities in astrophysical modeling

2022年3月4日 星期五 上午6:47|Philsci-Archive: No conditions. Results ordered -Date Deposited.

Castellani, Elena and Schettino, Giulia (2022) Nested modalities in astrophysical modeling. [Preprint]

The mathematical stance

2022年2月28日 星期一 上午8:00|Latest Results for Synthese


Defenders of the enhanced indispensability argument argue that the most effective route to platonism is via the explanatory role of mathematical posits in science. Various compelling cases of mathematical explanation in science have been proposed, but a satisfactory general philosophical account of such explanations is lacking. In this paper, I lay out the framework for such an account based on the notion of “the mathematical stance.” This is developed by analogy with Dennett’s well-known concept of “the intentional stance.” Roughly, adopting the mathematical stance towards a particular physical phenomenon involves treating it as an abstract mathematical structure for the purposes of prediction and explanation. Interestingly, Dennett himself frequently draws analogies between his intentional stance towards beliefs and desires and scientists’ stance towards centers of gravity. I explore the theoretical role played by centers of gravity within science and discuss how an indispensabilist platonist ought to categorize the ontological status of this type of posit. I conclude with some thoughts on how an approach based on the mathematical stance might be developed into a more general philosophical account of the application of mathematics in science.

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