Abstract

Models of spontaneous wave function collapse describe the quantum-to-classical transition by assuming a progressive breakdown of the superposition principle when the mass of the system increases, providing a well-defined phenomenology in terms of a non-linearly and stochastically modified Schrödinger equation, which can be tested experimentally. The most popular of such models is the continuous spontaneous localization (CSL) model: in its original version, the collapse is driven by a white noise, and more recently, generalizations in terms of colored noises, which are more realistic, have been formulated. We will analyze how current non-interferometric tests bound the model, depending on the spectrum of the noise. We will find that low frequency purely mechanical experiments provide the most stable and strongest bounds.Graphical abstract

Highlights

  • Since the birth of quantum mechanics with its striking differences compared to our classical intuition, the quantum-to-classical transition has puzzled the scientific community

  • The paper is organized as follows: in Section 2 we introduce the colored CSL” (cCSL) model and we compute its contribution to the density noise spectrum (DNS) of optomechanical systems

  • Before digging into the details of the cCSL model, we start by reviewing the basic features of continuous spontaneous localization (CSL) model, which will be useful for the following analysis

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Summary

Introduction

Since the birth of quantum mechanics with its striking differences compared to our classical intuition, the quantum-to-classical transition has puzzled the scientific community. Note that in non-interferometric experiments one can consider systems which are (truly) macroscopic In such a case, due to the amplification mechanism, the collapse can be more significant and easier to detect. If one thinks that the noise providing the collapse has a physical origin, it cannot be white but colored, with a cut off This extension of the CSL model has already been formulated [15,35,36,37,38,39,40], and we will refer to it as “colored CSL” (cCSL): this is the subject of the present article. We will investigate the bounds that non-interferometric experiments place on the collapse parameters λ and rC, when a colored noise with exponentially decaying correlation function is considered.

CSL model and optomechanical systems
Density noise spectrum
Other non-interferometric tests
X-ray emission
Phonon excitation
Experimental bounds
Details of the experimental setups
Discussion and conclusion
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