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We develop a systematic field-theoretical approach to open quantum systems based on condensed-matter many-body methods. The time evolution of the reduced density matrix for the open quantum system is determined by a transmission matrix.…

量子物理 · 物理学 2022-08-09 Hans C. Fogedby

A new formulation of four dimensional quantum field theories, such as scalar field theory, is proposed as a large N limit of a special NxN matrix model. Our reduction scheme works beyond planar approximation and applies for QFT with finite…

高能物理 - 理论 · 物理学 2009-10-31 V. A. Kazakov

We demonstrate the power of a first principle-based and practicable method that allows for the perturbative computation of reduced density matrix elements of an open quantum system without making use of any master equations. The approach is…

高能物理 - 理论 · 物理学 2023-06-12 Christian Käding , Mario Pitschmann

We study the real-time evolution of a self-interacting O(N) scalar field initially prepared in a pure quantum state. We present a complete solution of the nonequilibrium quantum dynamics from a 1/N-expansion of the two-particle-irreducible…

高能物理 - 唯象学 · 物理学 2010-11-11 Alexandre Giraud , Julien Serreau

We provide a new approach to open quantum systems which is based on the Feshbach projection method in an appropriate Hilbert space. Instead of looking for a master equation for the dynamical map acting in the space of density operators we…

量子物理 · 物理学 2013-08-14 Dariusz Chruściński , Andrzej Kossakowski

We provide a description of interacting quantum fields in terms of density matrices for any occupation numbers in Fock space in a momentum basis. As a simple example, we focus on a real scalar field interacting with another real scalar…

高能物理 - 理论 · 物理学 2023-06-09 Christian Käding , Mario Pitschmann

The subject of this thesis is the rigorous construction of QFT models with nontrivial interaction. Two different approaches in the framework of AQFT are discussed. On the one hand, an inverse scattering problem is considered. A given…

数学物理 · 物理学 2015-03-04 Sabina Alazzawi

Realistic many-particle systems dynamically exchange particles with their environments. In classical physics, small variations in the number of constituent particles are commonly considered practically irrelevant. However, in the quantum…

量子物理 · 物理学 2015-04-23 M. Arsenijevic , J. Jeknic-Dugic , D. Todorovic , M. Dugic

In this paper we are interested in the studying coarse-graining in field theories using the language of quantum open systems. Motivated by the ideas of Calzetta and Hu on correlation histories we employ the Zwanzig projection technique to…

高能物理 - 理论 · 物理学 2009-10-30 C. Anastopoulos

The evolution of a composite closed system using the integral wave equation with the kernel in the form of path integral is considered. It is supposed that a quantum particle is a subsystem of this system. The evolution of the reduced…

量子物理 · 物理学 2017-08-30 A. Yu. Samarin

We consider neutrino oscillations in non-uniform matter in a quantum field theoretic (QFT) approach, in which neutrino production, propagation and detection are considered as a single process. We find the conditions under which the…

高能物理 - 唯象学 · 物理学 2015-06-05 Evgeny Kh. Akhmedov , Alina Wilhelm

The majority of quantum open system models in the literature are simplistic in the sense that they only explicitly account for that part of the environment that directly interacts with the system of interest. A quantum open system with an…

量子物理 · 物理学 2007-05-23 Michael R. Gallis

We discuss the algebra of $N\times N$ matrices as a reduced quantum plane. A $3-$nilpotent deformed differential calculus involving a complex parameter $q$ is constructed. The two cases, $q$ $3^{rd}$ and $N^{th}$ root of unity are…

高能物理 - 理论 · 物理学 2015-06-26 M. El Baz , A. El Hassouni , Y. Hassouni , E. H. Zakkari

We propose a new quantum approach for describing a system of $n$ interacting particles with variable mass connected by an unknown field with variable form ($n$-VMVF systems). Instead of assuming any particular nature for variation of the…

量子物理 · 物理学 2018-11-30 Israel A. González Medina

This paper describes perturbative framework, on the basis of closed-time-path formalism, for studying quasiuniform relativistic quantum field systems near equilibrium and nonequilibrium quasistationary systems. At the first part, starting…

高能物理 - 理论 · 物理学 2007-05-23 A. Niégawa

We consider the quantum field theory for a scalar model of the electromagnetic field interacting with a system of two-level atoms. In this setting, we show that it is possible to uniquely determine the density of atoms from measurements of…

偏微分方程分析 · 数学 2026-02-03 Matti Lassas , Medet Nursultanov , Lauri Oksanen , John C. Schotland

In this paper we analyze a system of N identical quantum particles in a weak-coupling regime. The time evolution of the Wigner transform of the one-particle reduced density matrix is represented by means of a perturbative series. The…

数学物理 · 物理学 2009-11-10 D. Benedetto , F. Castella , R. Esposito , M. Pulvirenti

Open quantum systems are powerful effective descriptions of quantum systems interacting with their environments. Studying changes of Fock state probabilities can be intricate in this context since the prevailing description of open quantum…

高能物理 - 唯象学 · 物理学 2026-03-12 Clare Burrage , Christian Käding

In the framework of the Heisenberg picture, an alternative derivation of the reduced density matrix of a driven dissipative quantum harmonic oscillator as the prototype of an open quantum system is investigated. The reduced density matrix…

量子物理 · 物理学 2019-11-14 Fardin Kheirandish

The non-Markovian master equation for open quantum systems is obtained by generalization of the ordinary Zwanzig-Nakajima (ZN) projection technique. To this end, a coupled chain of equations for the reduced density matrices of the bath…

统计力学 · 物理学 2019-11-28 V. V. Ignatyuk , V. G. Morozov
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