Entropy and superposition principle

Antonio Zecca A

Md. Shaikhul Hadis Nazat

Abstract We introduce the Superpositional Asymmetry Principle (SAP), an effective theoretical framework linking symmetry-breaking dynamics, entropy production, and the suppression of quantum coherence in open quantum systems. Rather than modifying quantum mechanics or postulating a fundamental collapse mechanism, SAP treats classicalization as an emergent, coarse-grained phenomenon described entirely within standard open-system dynamics. By decomposing the system action into symmetry-preserving and symmetry-breaking contributions, we propose a phenomenological scaling law for decoherence rates governed by the ratio of asymmetric to symmetric action intensities and the local von Neumann entropy. The resulting dynamics are formulated within the Lindblad master-equation formalism. SAP unifies symmetry breaking, decoherence, and entropy into a single effective principle and yields experimentally testable predictions distinct from mass-based objective collapse models.

LU Dao-ming

In this paper the superpositions of two arbitrary coherent states |Ψ〉 = a |β〉 + b e iϕ |mβe iδ 〉 are constructed by using the superposition principle of quantum mechanics. The entropic squeezing effects of the quantum states are studied. The numerical results indicate that the amplitudes, the ratio between the amplitudes of two coherent states, the phase difference between the two components and the relative phase of the two coefficients play important roles in the squeezing effects of the position entropy and momentum entropy.

Roy B. Leipnik

Rupert L. Frank, Élliott H. Lieb

A Miranowicz, J Bajer, M R B Wahiddin +1 more

The Wehrl information entropy and its phase density, the so-called Wehrl phase distribution, are applied to describe Schrödinger cat and cat-like (kitten) states. The advantages of the Wehrl phase distribution over the Wehrl entropy in a description of the superposition principle are presented. The entropic measures are compared with a conventional phase distribution from the Husimi Q -function. Compact-form formulae for the entropic measures are found for superpositions of well separated states. Examples of Schrödinger cats (including even, odd and Yurke-Stoler coherent states), as well as the cat-like states generated in the Kerr medium, are analysed in detail. It is shown that, in contrast to the Wehrl entropy, the Wehrl phase distribution properly distinguishes between different superpositions of unequally weighted states with respect to their number and phase-space configuration.