Collapse models with non-white noises II: particle-density coupled noises

Abstract

We continue the analysis of models of spontaneous wave function collapse with stochastic dynamics driven by non-white Gaussian noise. We specialize to a model in which a classical "noise" field, with specified autocorrelator, is coupled to a local nonrelativistic particle density. We derive general results in this model for the rates of density matrix diagonalization and of state vector reduction, and show that (in the absence of decoherence) both processes are governed by essentially the same rate parameters. As an alternative route to our reduction results, we also derive the Fokker-Planck equations that correspond to the initial stochastic Schrödinger equation. For specific models of the noise autocorrelator, including ones motivated by the structure of thermal Green's functions, we discuss the qualitative and qantitative dependence on model parameters, with particular emphasis on possible cosmological sources of the noise field.

Latex, 43 pages; versions 2&3 have minor editorial revisions

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• Tests of the Gravitational Inverse-Square Law
• Dynamical Reduction Models
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Cited by in corpus (26)

• Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
• Gravitational Decoherence
• Underground test of gravity-related wave function collapse
• Breaking quantum linearity: constraints from human perception and cosmological implications
• Dissipative collapse models with non-white noises
• Colored collapse models from the non-interferometric perspective
• Constraining CSL strength parameter $\lambda$ from standard cosmology and spectral distortions of CMBR
• Nanomechanical test of quantum linearity
• Stochastic unravellings of non-Markovian completely positive and trace preserving maps
• Prospects for near-field interferometric tests of Collapse Models
• Can quantum non-locality be connected to extra-dimensions?
• A Quantum Spectrometer for Arbitrary Noise
• Testing collapse models with Bose-Einstein-Condensate interferometry
• Testing spontaneous wavefunction collapse with quantum electromechanics
• Relativistic quantum field theory of stochastic dynamics in the Hilbert space
• Colored noise driven unitarity violation causing dynamical quantum state reduction
• Particle mixing and the emergence of classicality: A spontaneous-collapse-model view
• Connecting the dots: Mott for emulsions, collapse models, colored noise, frame dependence of measurements, evasion of the "Free Will Theorem"
• Random non-Hermitian action theory for stochastic quantum dynamics: from canonical to path integral quantization
• Quantum model reduction for continuous-time quantum filters
• Random non-Hermitian Hamiltonian framework for symmetry breaking dynamics
• Non-Markovian wave-function collapse models are Bohmian-like theories in disguise
• Continuous spontaneous localization as the white-noise limit of spontaneous unitarity violation
• Superluminal signalling witness for quantum state reduction
• Quantum Physics in Space
• Statistical Symmetry Breaking and Emergent Colored Noise in a Stochastic Scalar-Doublet Field Theory