Testing Linearity of Quantum Theory with a Thermometer

Abstract

Collapse models postulate that space is filled with a collapse noise field, inducing quantum Brownian motions which are dominant during the measurement, thus causing collapse of the wave function. An important manifestation of collapse noise field, if any, is thermal energy generation, thus disturbing the temperature profile of a system. The experimental investigation of collapse-driven heating effect has provided, so far, the most promising test of collapse models against standard quantum theory. In this paper, we calculate the collapse-driven heat generation for a three-dimensional multi-atomic Bravais lattice, by solving stochastic Heisenberg equations. We perform our calculation for the mass-proportional Continuous Spontaneous Localization collapse model with non-white noise. We obtain the temperature distribution of a sphere under stationary-state and adiabatic surface conditions. However, the exact quantification of effect highly depends on the value of cutoff in the collapse noise spectrum.

In v2, wrong normalization constant was used for the polarization of multi-atomic crystals. The corresponding formulas are revised in this version using correct normalization. The Debye model of acoustic branches is used for further quantification of collapse-driven heat generation

References in corpus (10)

• Testing the limits of quantum mechanical superpositions
• Lower and Upper Bounds on CSL Parameters from Latent Image Formation and IGM Heating
• Matter wave lensing to picokelvin temperatures
• Ab initio study of the vibrational properties of crystalline TeO2: The alpha, beta, and gamma phases
• Optomechanical sensing of spontaneous wave-function collapse
• CSL Collapse Model Mapped with the Spontaneous Radiation
• Heating Through Phonon Excitation Implied by Collapse Models
• Bulk Heating Effects as Tests for Collapse Models
• Testing spontaneous wave-function collapse models on classical mechanical oscillators
• Minimum Interior Temperature for Solid Objects Implied by Collapse Models

Cited by in corpus (26)

• Present status and future challenges of non-interferometric tests of collapse models
• Room temperature test of the Continuous Spontaneous Localization model using a levitated micro-oscillator
• Narrowing the parameter space of collapse models with ultracold layered force sensors
• Heating Through Phonon Excitation Implied by Collapse Models
• Bulk Heating Effects as Tests for Collapse Models
• Testing the foundations of quantum physics in space Interferometric and non-interferometric tests with Large Particles
• Impact of dynamical collapse models on inflationary cosmology
• Neutron star heating constraints on wave-function collapse models
• Testing Continuous Spontaneous Localization with Fermi liquids
• Colored collapse models from the non-interferometric perspective
• Macroscopicity of quantum mechanical superposition tests via hypothesis falsification
• Multilayer test masses to enhance the collapse noise
• Unitary unravelling for the Dissipative Continuous Spontaneous Localization model: application to optomechanical experiments
• Collapse models: main properties and the state of art of the experimental tests
• Testing spontaneous collapse through bulk heating experiments: estimate of the background noise
• Testing collapse models with Bose-Einstein-Condensate interferometry
• Relativistic quantum field theory of stochastic dynamics in the Hilbert space
• Connecting the dots: Mott for emulsions, collapse models, colored noise, frame dependence of measurements, evasion of the "Free Will Theorem"
• Opto-mechanical tests of collapse models
• The Continuous Spontaneous Localization Layering Effect from a Lattice Perspective
• Random non-Hermitian action theory for stochastic quantum dynamics: from canonical to path integral quantization
• Revisiting astrophysical bounds on continuous spontaneous localization models
• On the testability of the Károlyházy model
• Random non-Hermitian Hamiltonian framework for symmetry breaking dynamics
• Statistical Symmetry Breaking and Emergent Colored Noise in a Stochastic Scalar-Doublet Field Theory
• New avenues for testing collapse models