On the linear friction many-body equation for dissipative spontaneous wavefunction collapse

Abstract

We construct and study the simplest universal dissipative Lindblad master equation for many-body systems with the purpose of a new dissipative extension of existing nonrelativistic theories of fundamental spontaneous decoherence and spontaneous wave function collapse in nature. It is universal as it is written in terms of second-quantized mass density $\hat{\rho }$ and current $\hat{J}$, thus making it independent of the material structure and its parameters. Assuming linear friction in the current, we find that the dissipative structure is strictly constrained. Following the general structure of our dissipative Lindblad equation, we derive and analyze the dissipative extensions of the two most known spontaneous wave function collapse models, the Diósi-Penrose and the continuous spontaneous localization models.

References in corpus (18)

• Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
• Dynamical Reduction Models
• Testing the limits of quantum mechanical superpositions
• Underground test of gravity-related wave function collapse
• Present status and future challenges of non-interferometric tests of collapse models
• Improved noninterferometric test of collapse models using ultracold cantilevers
• Quantum Master Equation of Particle in Gas Environment
• Space-like Separation in a Bell Test assuming Gravitationally Induced Collapses
• Narrowing the parameter space of collapse models with ultracold layered force sensors
• An ultra-narrow line width levitated nano-oscillator for testing dissipative wavefunction collapse
• Colored and Dissipative Continuous Spontaneous Localization model and Bounds from Matter-Wave Interferometry
• Testing the foundations of quantum physics in space Interferometric and non-interferometric tests with Large Particles
• Gravity and the Collapse of the Wave Function: a Probe into Diósi-Penrose model
• Neutron star heating constraints on wave-function collapse models
• Testing Continuous Spontaneous Localization with Fermi liquids
• Unitary unravelling for the Dissipative Continuous Spontaneous Localization model: application to optomechanical experiments
• Testing Dissipative Collapse Models with a Levitated Micromagnet
• The Continuous Spontaneous Localization Layering Effect from a Lattice Perspective

Cited by in corpus (7)

• Roadmap on Quantum Thermodynamics
• On the effectiveness of the collapse in the Diósi-Penrose model
• Spontaneous Collapse Models
• Experimental bounds on linear-friction dissipative collapse models from levitated optomechanics
• Non-equilibrium thermodynamics of gravitational objective-collapse models
• Restoring the second law to classical-quantum dynamics
• Spontaneous collapse effects on relativistic fermionic matter