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This paper describes perturbative framework, on the basis of the closed-time-path formalism, in terms of quasiparticle picture for studying quasiuniform relativistic quantum field systems near equilibrium and nonequilibrium quasistationary…

High Energy Physics - Theory · Physics 2016-08-15 A. Niégawa

Bosonization describes Fermi surface dynamics in terms of a collective field that lives on a part of phase space. While sensible semiclassically, the challenge of treating such a field quantum mechanically has prevented bosonization from…

Strongly Correlated Electrons · Physics 2026-02-20 Sihan Chen , Luca V. Delacretaz

We formulate a novel approach to decoherence based on neglecting observationally inaccessible correlators. We apply our formalism to a renormalised interacting quantum field theoretical model. Using out-of-equilibrium field theory…

Quantum Physics · Physics 2015-05-27 Jurjen F. Koksma , Tomislav Prokopec , Michael G. Schmidt

We present a holomorphic version of the bosonic string in the formalism of quantum field theory developed by Costello and collaborators. In this paper we focus on the case in which space-time is flat and construct a one-loop exact…

Mathematical Physics · Physics 2018-05-18 Owen Gwilliam , Brian Williams

Deterministic dynamical models are discussed which can be described in quantum mechanical terms. In particular, a local quantum field theory is presented which is a supersymmetric classical model. -- The Hilbert space approach of Koopman…

High Energy Physics - Theory · Physics 2007-05-23 Hans-Thomas Elze

We consider a model dissipative quantum-mechanical system realized by coupling a quantum oscillator to a semi-infinite classical string which serves as a means of energy transfer from the oscillator to the infinity and thus plays the role…

Other Condensed Matter · Physics 2007-05-23 E. Anisimovas , A. Matulis

We derive the formalism for steady state nonequilibrium dynamical mean-field theory in a real-time formalism along the Kadanoff-Baym contour. The resulting equations of motion are first transformed to Wigner coordinates (average and…

Strongly Correlated Electrons · Physics 2009-11-11 J. K. Freericks , V. M. Turkowski

We address the decay in open chaotic quantum systems and calculate semiclassical corrections to the classical exponential decay. We confirm random matrix predictions and, going beyond, calculate Ehrenfest time effects. To support our…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Daniel Waltner , Martha Gutierrez , Arseni Goussev , Klaus Richter

In this further letter on the onset of classical behaviour in field theory due to a phase transition, we show that it can be phrased easily in terms of the decoherence functional, without having to use the master equation. To demonstrate…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. C. Lombardo , R. J. Rivers , P. I. Villar

The unmodified Heisenberg-Pauli canonical formalism of quantum field theory applied to a self-interacting scalar boson field is shown to make sense mathematically in a framework of generalized functions adapted to nonlinear operations. The…

Mathematical Physics · Physics 2008-09-08 Jean-Francois Colombeau , Andre Gsponer

A wide class of non-Markovian completely positive master equations can be formulated on the basis of quantum collisional models. In this phenomenological approach the dynamics of an open quantum system is modeled through an ensemble of…

Quantum Physics · Physics 2013-09-26 Adrian A. Budini

We study the classical properties of a supersymmetric system which is often used as a model for supersymmetric quantum mechanics. It is found that the classical dynamics of the bosonic as well as the fermionic degrees of freedom is fully…

Condensed Matter · Physics 2009-10-22 Georg Junker , Stephan Matthiesen

We identify a (pseudo) relativistic spin-dependent analogue of the celebrated quantum phase transition driven by the formation of a bright soliton in attractive one-dimensional bosonic gases. In this new scenario, due to the simultaneous…

Quantum Gases · Physics 2020-07-10 Maximilian Nitsch , Benjamin Geiger , Klaus Richter , Juan Diego Urbina

Einstein-Smoluchowski diffusion, damped harmonic oscillations, and spatial decoherence are special cases of an elegant class of Markovian quantum Brownian motion models that is invariant under linear symplectic transformations. Here we…

Quantum Physics · Physics 2016-02-04 C. Jess Riedel

We present a derivation of the effect of the classical field configuration to the diffusion equations. Using the formalism of the thermo field dynamics we propose a systematic and consistent way to treat the classical background and to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jukka Sirkka , Iiro Vilja

We consider the quantum-to-classical transition for macroscopic systems coupled to their environments. By applying Born's Rule, we are led to a particular set of quantum trajectories, or an unravelling, that describes the state of the…

Quantum Physics · Physics 2018-04-23 Timothy J. Hollowood

We present a general and model-independent method to obtain an effective Markovian quantum kinetic equation for the expectation value of a slowly evolving scalar field in an adiabatically evolving background from first principles of…

High Energy Physics - Phenomenology · Physics 2022-05-25 Gilles Buldgen , Marco Drewes , Jin U Kang , Ui Ri Mun

We give a first principles derivation of a master equation for the evolution of a quantum matter field in a linearly perturbed Minkowski spacetime, based solely on quantum field theory and general relativity. We make no additional…

General Relativity and Quantum Cosmology · Physics 2015-06-16 C. Anastopoulos , B. L. Hu

We review the quantum version of the linear Boltzmann equation, which describes in a non-perturbative fashion, by means of scattering theory, how the quantum motion of a single test particle is affected by collisions with an ideal…

Quantum Physics · Physics 2010-09-28 Bassano Vacchini , Klaus Hornberger

By modeling the interaction of an open quantum system with its environment through a natural generalization of the classical concept of continuous time random walk, we derive and characterize a class of non-Markovian master equations whose…

Quantum Physics · Physics 2018-01-31 Adrián A. Budini