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Basing on the theory of Feynman's influence functional and its hierarchical equations of motion, we develop a linear response theory for quantum open systems. Our theory provides an effective way to calculate dynamical observables of a…

Mesoscale and Nanoscale Physics · Physics 2011-08-31 J. H. Wei , YiJing Yan

The equations-of-motion for the density matrix are derived in a multiband model to describe the response of semiconductors (bulk or quantum well structures) under optical excitation with arbitrary polarization. The multiband model used,…

Condensed Matter · Physics 2016-08-16 U. Rössler

A semiclassical theory of single and multi-mode lasing is derived for open complex or random media using a self-consistent linear response formulation. Unlike standard approaches which use closed cavity solutions to describe the lasing…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hakan E. Tureci , A. Douglas Stone , B. Collier

We derive the two-time linear response theory for out-of-equilibrium pumped systems, generic pump-probe delays and probe frequencies. Such a theory enormously simplifies the numerical calculations, for instance, of the optical conductivity…

Optics · Physics 2024-12-10 Amir Eskandari-asl , Adolfo Avella

A linear open quantum system consisting of a harmonic oscillator linearly coupled to an infinite set of independent harmonic oscillators is considered; these oscillators have a general spectral density function and are initially in a…

Quantum Physics · Physics 2009-11-06 Esteban Calzetta , Albert Roura , Enric Verdaguer

A nonlinear generalization of the Fluctuation-Dissipation Theorem (FDT) for the n-point Green functions and the amputated 1PI vertex functions at finite temperature is derived in the framework of the Closed Time Path formalism. We verify…

High Energy Physics - Theory · Physics 2009-10-09 Enke Wang , Ulrich Heinz

In this paper some new physical notations are given for the Green's functions and equations of motion (EOM) in many body physics with the concept of quasiparticles. It shows how the many body correlations existing in many body systems can…

Strongly Correlated Electrons · Physics 2013-02-20 Qingguo Feng

We develop a linear response theory for materials collectively coupled to a cavity that is valid in all regimes of light-matter coupling, including symmetry-broken phases. We present and compare two different approaches. First, using a…

Quantum Physics · Physics 2025-03-17 Juan Román-Roche , Álvaro Gómez-León , Fernando Luis , David Zueco

A novel method based on spectral Green functions is presented for the simulation of driven open quantum dynamics that can be described by the Lindblad master equation in Liouville density operator space. The method extends the Hilbert space…

Quantum Physics · Physics 2021-02-03 Alexander Karabanov , Walter Köckenberger

In this paper the fixed-energy amplitude (Green's function) of the relativistic Coulomb system is solved by Duru-Kleinert (DK) method. In the course of the calculations we observe an equivalence between the relativistic Coulomb system and a…

Quantum Physics · Physics 2007-05-23 De-Hone Lin

A Response Function Theory and Scattering Theory applicable to the study of physical properties of systems driven arbitrarily away from equilibrium, specialized for dealing with ultrafast processes and in conditions of space resolution…

Statistical Mechanics · Physics 2012-10-31 Clóves G. Rodrigues , Áurea R. Vasconcellos , José Galvão Ramos , Roberto Luzzi

The dynamics of excitonic energy transfer in molecular complexes triggered by interaction with laser pulses offers a unique window into the underlying physical processes. The absorbed energy moves through the network of interlinked pigments…

Quantum Physics · Physics 2025-12-30 Tobias Kramer

Quadratic Lindbladians encompass a rich class of dissipative electronic and bosonic quantum systems, which have been predicted to host new and exotic physics. In this study, we develop a Lindblad-Keldysh spectroscopic response formalism for…

Mesoscale and Nanoscale Physics · Physics 2026-01-22 Spenser Talkington , Martin Claassen

The Lang-Firsov Hamiltonian, a well-known solvable model of interacting fermion-boson system with sideband features in the fermion spectral weight, is generalized to have the time-dependent fermion-boson coupling constant. We show how to…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 Yun-Tak Oh , Yoichi Higashi , Ching-Kit Chan , Jung Hoon Han

Levitated dipolar scatterers exhibit exceptional performance as optomechanical systems for observing quantum mechanics at the mesoscopic scale. However, their tendency to scatter light in almost any direction poses experimental challenges,…

Out-of-time-ordered correlators (OTOCs) have emerged as powerful tools for diagnosing quantum chaos and information scrambling. While extensively studied in closed quantum systems, their behavior in dissipative environments remains less…

Quantum Physics · Physics 2025-03-06 Pablo D. Bergamasco , Gabriel G. Carlo , Alejandro M. F. Rivas

The Green's function method which has been originally proposed for linear systems has several extensions to the case of nonlinear equations. A recent extension has been proposed to deal with certain applications in quantum field theory. The…

Mathematical Physics · Physics 2018-06-26 Marco Frasca , Asatur Khurshudyan

In this paper we develop a theory of linear differential systems analogous to the classical one for ODEs, including the obtaining of fundamental matrices, the development of a variation of parameters formula and the expression of the…

Classical Analysis and ODEs · Mathematics 2017-07-05 Alberto Cabada , F. Adrián F. Tojo

We derive an extension of the quantum regression theorem to calculate out-of-time-order correlation functions in Markovian open quantum systems. While so far mostly being applied in the analysis of many-body physics, we demonstrate that…

Quantum Physics · Physics 2019-03-13 Philip Daniel Blocher , Klaus Molmer

The resonant interaction between x-ray photons and nuclei is one of the most exciting subjects of the burgeoning field of x-ray quantum optics. A resourceful platform used so far are thin-film x-ray cavities with embedded layers or…

Quantum Physics · Physics 2020-10-02 Xiangjin Kong , Darrick E. Chang , Adriana Pálffy