Relativistic model of spontaneous wave-function localization induced by nonHermitian colored noise
- URL: http://arxiv.org/abs/2501.07050v1
- Date: Mon, 13 Jan 2025 04:17:05 GMT
- Title: Relativistic model of spontaneous wave-function localization induced by nonHermitian colored noise
- Authors: Pei Wang,
- Abstract summary: We propose a model of spontaneous wave-function collapse based on a random nonHermitian action where the fermion density operator is coupled to a universal colored noise.
We analytically determine the noise-induced localization length, which decreases as the size of the observable universe increases.
- Score: 6.405171754125318
- License:
- Abstract: We propose a relativistic model of spontaneous wave-function collapse, based on a random nonHermitian action where the fermion density operator is coupled to a universal colored noise. Upon quantization, the wave function obeys a nonlinear stochastic differential equation that respects statistical Lorentz symmetry. The localization mechanism is driven by the colored noise, derived from the d'Alembert equation using generalized stochastic calculus in 1+3-dimensional spacetime. We analytically determine the noise-induced localization length, which decreases as the size of the observable universe increases.
Related papers
- Covariant non-perturbative pointer variables for quantum fields [44.99833362998488]
We derive and renormalize the integro-differential equation that governs the detector pointer-variable dynamics.
Our formal solution, expressed in terms of Green's functions, allows for the covariant, and causal analysis of induced observables on the field.
arXiv Detail & Related papers (2025-02-03T11:53:31Z) - Integral quantization based on the Heisenberg-Weyl group [39.58317527488534]
We develop a framework of integral quantization applied to the motion of spinless particles in the four-dimensional Minkowski spacetime.
The proposed scheme is based on coherent states generated by the action of the Heisenberg-Weyl group.
A direct application of our model, including a computation of transition amplitudes between states characterized by fixed positions and momenta, is postponed to a forthcoming article.
arXiv Detail & Related papers (2024-10-31T14:36:38Z) - Hierarchical analytical approach to universal spectral correlations in Brownian Quantum Chaos [44.99833362998488]
We develop an analytical approach to the spectral form factor and out-of-time ordered correlators in zero-dimensional Brownian models of quantum chaos.
arXiv Detail & Related papers (2024-10-21T10:56:49Z) - Closed-form solutions for the Salpeter equation [41.94295877935867]
We study the propagator of the $1+1$ dimensional Salpeter Hamiltonian, describing a relativistic quantum particle with no spin.
The analytical extension of the Hamiltonian in the complex plane allows us to formulate the equivalent problem, namely the B"aumer equation.
This B"aumera corresponds to the Green function of a relativistic diffusion process that interpolates between Cauchy for small times and Gaussian diffusion for large times.
arXiv Detail & Related papers (2024-06-26T15:52:39Z) - Causal Fermion Systems as an Effective Collapse Theory [0.0]
In the non-relativistic limit, causal fermion systems give rise to an effective collapse theory.
The dynamics of the statistical operator is described by a deterministic equation of Kossakowski-Lindblad form.
arXiv Detail & Related papers (2024-05-29T16:39:01Z) - Radiative transport in a periodic structure with band crossings [47.82887393172228]
We derive the semi-classical model for the Schr"odinger equation in arbitrary spatial dimensions.
We consider both deterministic and random scenarios.
As a specific application, we deduce the effective dynamics of a wave packet in graphene with randomness.
arXiv Detail & Related papers (2024-02-09T23:34:32Z) - Real-time dynamics of false vacuum decay [49.1574468325115]
We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential.
We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
arXiv Detail & Related papers (2023-10-06T12:44:48Z) - Stochastic Ricci Flow dynamics of the gravitationally induced
wave-function collapse [0.0]
We reconcile the wave-function collapse in quantum mechanics with the finiteness of signals' propagation in general relativity.
We derive the Di'osi-Penrose collapse model for the wave-function of a quantum gas.
arXiv Detail & Related papers (2023-07-19T17:00:48Z) - Initial value formulation of a quantum damped harmonic oscillator [0.18416014644193066]
We study the initial state-dependence, decoherence, and thermalization of a quantum damped harmonic oscillator.
We find that the dynamics must include a non-vanishing noise term to yield physical results for the purity.
We briefly consider time-nonlocal dissipation as well, to show that the fluctuation-dissipation relation is satisfied for a specific choice of dissipation kernels.
arXiv Detail & Related papers (2023-03-08T19:03:12Z) - Relativistic effects on the Schr\"odinger-Newton equation [0.0]
We modify the Schr"odinger-Newton equation by considering certain relativistic corrections up to the first post-Newtonian order.
We observe that the natural dispersion of the wave function is slower than in the nonrelativistic case.
arXiv Detail & Related papers (2022-10-12T13:27:46Z) - Particle mixing and the emergence of classicality: A
spontaneous-collapse-model view [0.0]
We show that spontaneous collapse can induce the decay dynamics in both quantum state and master equations.
We show that the decay property of a flavor-oscillating system is intimately connected to the time (a)symmetry of the noise field underlying the collapse mechanism.
arXiv Detail & Related papers (2020-08-25T16:07:59Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.