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We investigate the response of a one-dimensional Bose gas to a slow increase of its interaction strength. We focus on the rich dynamics of equal-time single-particle correlations treating the Lieb-Liniger model within a bosonization…

Quantum Gases · Physics 2016-09-27 Jean-Sebastien Bernier , Roberta Citro , Corinna Kollath , Edmond Orignac

Phase-space representations are a family of methods for dynamics of both bosonic and fermionic systems, that work by mapping the system's density matrix to a quasi-probability density and the Liouville-von Neumann equation of the…

Quantum Gases · Physics 2023-04-24 F. Rousse , O. Eriksson , M. Ogren

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

In this work a perturbative linear response analysis is performed for the time evolution of the quasi-conserved charge of a scalar field. One can find two regimes, one follows exponential damping, where the damping rate is shown to come…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Jakovac

We study a system of electrons on a one-dimensional lattice, interacting through the long range Coulomb forces, by means of a variational technique which is the strong coupling analog of the Gutzwiller approach. The problem is thus the…

Strongly Correlated Electrons · Physics 2007-05-23 S. Fratini , B. Valenzuela , D. Baeriswyl

We study the energy redistribution of interacting bosons in a ring-shaped quantum trimer as the coupling strength between neighboring sites of the corresponding Bose-Hubbard Hamiltonian undergoes a sudden change dk. Our analysis is based on…

Other Condensed Matter · Physics 2009-09-03 Moritz Hiller , Tsampikos Kottos , Theo Geisel

We continue our study of the linear response of a nonequilibrium system. This Part II concentrates on models of open and driven inertial dynamics but the structure and the interpretation of the result remain unchanged: the response can be…

Statistical Mechanics · Physics 2010-05-02 Marco Baiesi , Eliran Boksenbojm , Christian Maes , Bram Wynants

Damping on an object generally depends on its conformation (shape size etc.). We consider the Langevin dynamics of a model system with a conformation dependent damping and generalize the fluctuation dissipation relation to fit in such a…

Statistical Mechanics · Physics 2012-07-16 A. Bhattacharyay

We derive the general Kubo formula in a form that solely utilizes the time evolution of displacement operators. The derivation is based on the decomposition of the linear response function into its time symmetric and time anti-symmetric…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Michel Panhans , Frank Ortmann

We propose a formalism to take account of the correction of the spatial fluctuations to the local self-energy obtained by the dynamical mean-field approximation. For this purpose, the approximate dynamical susceptibility in the framework of…

Strongly Correlated Electrons · Physics 2009-11-11 Hiroaki Kusunose

The fate of a local two-hole doublon excitation in the one-dimensional Fermi-Hubbard model is systematically studied for strong Hubbard interaction U in the entire filling range using the density-matrix renormalization group (DMRG) and the…

Strongly Correlated Electrons · Physics 2017-02-02 Roman Rausch , Michael Potthoff

We analyse the dynamics of a two dimensional system of interacting active dumbbells. We characterise the mean-square displacement, linear response function and deviation from the equilibrium fluctuation-dissipation theorem as a function of…

The charge dynamical response function of the Hubbard model is investigated on the square lattice in the thermodynamical limit. The obtained charge excitation spectra consist of a continuum, a gapless collective mode with anisotropic…

Strongly Correlated Electrons · Physics 2017-04-21 Vu Hung Dao , Raymond Frésard

The Hubbard Hamiltonian is investigated by means of a variational trial wave function of Gutzwiller's type. The wave function includes nearest - neighbor correlations in an explicit form. To calculate density matrices the method of…

Strongly Correlated Electrons · Physics 2009-10-30 Yu. B. Kudasov

We theoretically examine the driven-dissipative Bose-Hubbard dimer in the optical bistable regime. Various approximation schemes based on a Gutzwiller mean field decoupling are applied and compared. Depending on the system parameters we…

Quantum Physics · Physics 2017-04-27 Wim Casteels , Michiel Wouters

The interband dynamics of a two-band Bose-Hubbard model is studied with strongly correlated bosons forming single-site double occupancies referred to as doublons. Our model for resonant doublon interband coupling exhibits interesting…

Supplementing the Heisenberg model with a Hubbard-commuting kinetic of electrons adds to its spectrum without interference. One consequence is the precise incorporation of canonical linear spin wave theory within the time-dependent…

Strongly Correlated Electrons · Physics 2024-12-11 Rohit Hegde

We theoretically investigate the time- and frequency-domain two-particle correlations of a driven dissipative Bose-Hubbard model (BHM) at and near a dissipative phase transition (DPT). We compute Hanbury Brown-Twiss (HBT) type two-particle…

Atomic Physics · Physics 2021-03-24 Kingshuk Adhikary , Anushree Dey , Arpita Pal , Subhanka Mal , Bimalendu Deb

Analytical results on the correlation functions of strongly correlated many-body systems are rare in the literature and their importance cannot be overstated. We present determinant representations for the space-, time-, and…

Strongly Correlated Electrons · Physics 2024-11-12 Ovidiu I. Patu , Andreas Klumper , Angela Foerster

A general form of a many-body Hamiltonian is considered, which includes an interacting fermionic sub-system coupled to non-interacting extended fermionic and bosonic systems. We show that the exact dynamics of the extended bosonic system…

Strongly Correlated Electrons · Physics 2015-06-22 Eli Y. Wilner , Haobin Wang , Michael Thoss , Eran Rabani
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