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We describe how the concepts of quantum open systems and the methods of closed-time-path (CTP) effective action and influence functional (IF) can be usefully applied to the analysis of statistical mechanical problems involving quantum…

广义相对论与量子宇宙学 · 物理学 2007-05-23 B. L. Hu

We continue our earlier investigation of the backreaction problem in semiclassical gravity with the Schwinger-Keldysh or closed-time-path (CTP) functional formalism using the language of the decoherent history formulation of quantum…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Esteban Calzetta , B. L. Hu

We derive quantum kinetic equations for fermions in a homogeneous time-dependent background in presence of decohering collisions, by use of the Schwinger-Keldysh CTP-formalism. The quantum coherence (between particles and antiparticles) is…

高能物理 - 唯象学 · 物理学 2009-03-24 Matti Herranen , Kimmo Kainulainen , Pyry Matti Rahkila

A generalization of the action principle of classical mechanics, motivated by the Closed Time Path (CTP) scheme of quantum field theory, is presented to deal with initial condition problems and dissipative forces. The similarities of the…

高能物理 - 理论 · 物理学 2015-06-22 Janos Polonyi

Using the Schwinger-Keldysh (closed time path or CTP) and Feynman-Vernon influence functional formalisms we obtain an expression for the influence functional in terms of Bogoliubov coefficients for the case of spinor quantum…

高能物理 - 理论 · 物理学 2007-05-23 R. Shaisultanov

This is the first in a series of papers aiming to develop a relativistic quantum information theory in terms of unequal-time correlation functions in quantum field theory. In this work, we highlight two formalisms which together can provide…

量子物理 · 物理学 2023-02-15 Charis Anastopoulos , Bei-Lok Hu , Konstantina Savvidou

Using the Schwinger-Keldysh (closed time path or CTP) and Feynman-Vernon influence functional formalisms we obtain a Langevin equation for the description of the charged particle creation in electric field and of backreaction of charged…

高能物理 - 理论 · 物理学 2007-05-23 Shaisultanov R

Consistent coupling of quantum and classical degrees of freedom exists so long as there is both diffusion of the classical degrees of freedom and decoherence of the quantum system. In this paper, we derive the Newtonian limit of such…

广义相对论与量子宇宙学 · 物理学 2024-07-30 Isaac Layton , Jonathan Oppenheim , Andrea Russo , Zachary Weller-Davies

The closed time-path formalism is a powerful Green's function formulation to describe non-equilibrium phenomena in field theory and it leads to a complete non-equilibrium quantum kinetic theory. We make use of this formalism to write down…

高能物理 - 唯象学 · 物理学 2008-11-26 Andrea De Simone , Antonio Riotto

We explore the transient dynamics associated with the emergence of the classical signal in the full quantum system. We start our study from the instability which promotes the squeezing of the quantum system. This is often interpreted as the…

量子物理 · 物理学 2018-10-29 Masahiro Morikawa

We study the quatum to classical transition process in the context of quantum field theory. Extending the influence functional formalism of Feynman and Vernon, we study the decoherence process for self-interacting quantum fields in flat…

广义相对论与量子宇宙学 · 物理学 2009-09-25 Fernando C. Lombardo

Understanding how classical physics emerges from quantum mechanics remains a central problem in the foundations of physics. Here we derive a classical limit from finite-resolution measurements, modeled by continuous coarse-grained POVMs.…

The nonequilibrium dynamics of quantum fields is studied in inflationary cosmology, with particular emphasis on applications to the problem of post-inflation reheating. The Schwinger-Keldysh closed-time-path (CTP) formalism is utilized…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Stephen A. Ramsey

Classical and quantum correlation functions are derived for a system of non-interacting particles moving on a circle. It is shown that the decaying behaviour of the classical expression for the correlation function can be recovered from the…

量子物理 · 物理学 2021-07-06 B. Buck , C. V. Sukumar

We investigate the transition from quantum to classical mechanics using a one-dimensional free particle model. In the classical analysis, we consider the initial positions and velocities of the particle drawn from Gaussian distributions.…

量子物理 · 物理学 2024-05-30 E. Aldo Arroyo

The field of classical stochastic processes forms a major branch of mathematics. They are, of course, also very well studied in biology, chemistry, ecology, geology, finance, physics, and many more fields of natural and social sciences.…

量子物理 · 物理学 2021-07-21 Simon Milz , Kavan Modi

The aim of this paper is two-fold: in probing the statistical mechanical properties of interacting quantum fields, and in providing a field theoretical justification for a stochastic source term in the Boltzmann equation. We start with the…

高能物理 - 唯象学 · 物理学 2008-11-26 Esteban Calzetta , Bei Lok Hu

We describe a scheme for constructing quantum mechanics in which a quantum system is considered as a collection of open classical subsystems. This allows using the formal classical logic and classical probability theory in quantum…

量子物理 · 物理学 2008-11-26 D. A. Slavnov

In this paper we elaborate on the structure of the continuous-time histories description of quantum theory, which stems from the consistent histories scheme. In particular, we examine the construction of history Hilbert space, the…

量子物理 · 物理学 2015-06-26 Charis Anastopoulos

In this paper for the first time, we construct quantum analogs starting from classical stochastic processes, by replacing random which path decisions with superpositions of all paths. This procedure typically leads to non-unitary quantum…

统计力学 · 物理学 2022-07-13 Gustavo Montes , Soham Biswas , Thomas Gorin
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