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We derive a microscopic model for dissipative dynamics in a system of mutually interacting qubits coupled to a thermal bath that generalises the dissipative model of Landau-Lifschitz-Gilbert to the case of anisotropic bath couplings. We…

介观与纳米尺度物理 · 物理学 2016-12-14 Philip J D Crowley , A G Green

A typical feature of spontaneous collapse models which aim at localizing wavefunctions in space is the violation of the principle of energy conservation. In the models proposed in the literature the stochastic field which is responsible for…

量子物理 · 物理学 2007-05-23 Angelo Bassi , Emiliano Ippoliti , Bassano Vacchini

The basic strategy underlying models of spontaneous wave function collapse (collapse models) is to modify the Schroedinger equation by including nonlinear stochastic terms, which tend to localize wave functions in space in a dynamical…

量子物理 · 物理学 2015-06-18 A. Bassi , H. Ulbricht

In this paper, we derive general theorems for controlling (vector-valued) first order ordinary differential equations such that its solutions stop at a finite time $T>0$ and apply them to relaxation and dissipative oscillation processes. We…

偏微分方程分析 · 数学 2019-03-18 Richard Kowar

Wavefunction collapse models modify Schr\"odinger's equation so that it describes the collapse of a superposition of macroscopically distinguishable states as a dynamical process. This provides a basis for the resolution of the quantum…

量子物理 · 物理学 2014-11-26 Daniel Bedingham , Hendrik Ulbricht

We investigate the three-dimensional compressible Euler-Maxwell system, a model for simulating the transport of electrons interacting with propagating electromagnetic waves in semiconductor devices. First, we show the global well-posedness…

偏微分方程分析 · 数学 2024-07-02 Timothée Crin-Barat , Yue-Jun Peng , Ling-Yun Shou , Jiang Xu

We propose an effective non-relativistic framework in which wave-function collapse emerges as a deterministic dynamical instability induced by gravitational self-interaction and regulated by short-distance repulsion. The dynamics is…

量子物理 · 物理学 2026-04-20 C. A. S. Almeida

In this article, a numerical analysis of the asymptotic behavior of the discrete energy associated to a dissipative coupled wave system is conducted. The numerical approximation of the system is constructed using the P1 finite element…

数值分析 · 数学 2025-08-22 Toni Sayah , Toufic El Arwadi

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…

We develop a dissipative extension of classical mechanics based on a complex, and more generally quaternionic, action principle that endows every classical system with an intrinsic environment. Decomposing the action into conservative and…

量子物理 · 物理学 2026-04-09 Naleli Jubert Matjelo

Four problematic circumstances are considered, involving models which describe dynamical wavefunction collapse toward energy eigenstates, for which it is shown that wavefunction collapse of macroscopic objects does not work properly. In one…

量子物理 · 物理学 2009-11-10 Philip Pearle

Starting from an idea of S.L. Adler~\cite{Adler2015}, we develop a novel model of gravity-induced spontaneous wave-function collapse. The collapse is driven by complex stochastic fluctuations of the spacetime metric. After deriving the…

量子物理 · 物理学 2017-11-16 Giulio Gasbarri , Marko Toroš , Sandro Donadi , Angelo Bassi

We study the generalization of the QMUPL model which accounts both for memory and dissipative effects. This is the first model where both features are combined. After having derived the non-local Action describing the system, we solve the…

量子物理 · 物理学 2015-06-03 Luca Ferialdi , Angelo Bassi

A new energy-based stochastic extension of the Schrodinger equation for which the wave function collapses after the passage of a finite amount of time is proposed. An exact closed-form solution to the dynamical equation, valid for all…

量子物理 · 物理学 2009-11-11 Dorje C. Brody , Lane P. Hughston

Spontaneous collapse models aim to resolve the measurement problem in quantum mechanics by considering wave-function collapse as a physical process. We analyze how these models affect a decaying flavor-oscillating system whose evolution is…

量子物理 · 物理学 2020-08-26 Kyrylo Simonov

Some dynamical properties of time-dependent driven elliptical-shaped billiard are studied. It was shown that for the conservative time-dependent dynamics the model exhibits the Fermi acceleration [Phys. Rev. Lett. 100, 014103 (2008)]. On…

混沌动力学 · 物理学 2015-05-20 Diego F. M. Oliveira , Marko Robnik

We present an action that can be used to study variationally the collapse of Bose Einstein condensates. This action is real, even though it includes dissipative terms. It adopts long range interactions between the atoms, so that there is…

量子气体 · 物理学 2020-11-11 Stavros Theodorakis , Stavros Athanasiou

We present a systematic theory of dissipation in finite Fermi systems like nuclei and metallic clusters. This theory is based on the application of semiclassical methods and random matrix theory to linear response of many-body systems. The…

核理论 · 物理学 2009-10-31 Sudhir R. Jain

One way of obtaining a version of quantum mechanics without observers, and thus of solving the paradoxes of quantum mechanics, is to modify the Schroedinger evolution by implementing spontaneous collapses of the wave function. An explicit…

量子物理 · 物理学 2007-05-23 Roderich Tumulka

For a dissipative system with Ohmic friction, we obtain a simple and exact solution for the wave function of the system plus the bath. It is described by the direct product in two independent Hilbert space. One of them is described by an…

高能物理 - 理论 · 物理学 2008-11-26 Li Hua Yu , Chang-Pu Sun