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The nonlinear oscillator model is useful to basically understand the most important properties of nonlinear optical processes. It has been shown to give the correct asymptotic behaviour and to provide the general feature of harmonic…

光学 · 物理学 2009-10-31 Franco Bassani , Valerio Lucarini

We derive from first principles the Kubo formulas for the stress-stress response function at zero wavevector that can be used to define the full complex frequency-dependent viscosity tensor, both with and without a uniform magnetic field.…

统计力学 · 物理学 2013-05-30 Barry Bradlyn , Moshe Goldstein , N. Read

The description of dynamics of strongly correlated quantum matter is a challenge, particularly in physical situations where a quasiparticle description is absent. In such situations, however, the many-body Kubo formula from linear response…

强关联电子 · 物理学 2022-05-11 Aavishkar A. Patel , Hitesh J. Changlani

The applicability of the semiclassical Boltzmann transport theory is fundamentally challenged in strongly correlated systems where quasiparticle excitations are ill-defined. When the fermion spectral broadening becomes much larger than the…

强关联电子 · 物理学 2026-05-29 Yi-Hui Xing , Wu-Ming Liu

In this review, we survey the current progress in computing transport properties in semimetals which harbour non-Fermi liquid phases. We first discuss the widely-used Kubo formalism, which can be applied to the effective theory describing…

强关联电子 · 物理学 2024-08-28 Ipsita Mandal , Hermann Freire

Computing dynamical response functions in interacting lattice models is a long standing challenge in condensed matter physics. In view of recent results, the dc resistivity $\rho_\mathrm{dc}$ in the weak coupling regime of the Hubbard model…

强关联电子 · 物理学 2025-09-25 Jeremija Kovačević , Michel Ferrero , Jakša Vučičević

Nonlinear electrical response permits a unique window into effects of band structure geometry. It can be calculated either starting from a Boltzmann approach for small frequencies, or using Kubo's formula for resonances at finite frequency.…

介观与纳米尺度物理 · 物理学 2023-04-26 Daniel Kaplan , Tobias Holder , Binghai Yan

The non-Abelian Kubo formula is derived from the kinetic theory. That expression is compared with the one obtained using the eikonal for a Chern-Simons theory. The multiple time-scale method is used to solve the non-Abelian Kubo formula,…

高能物理 - 理论 · 物理学 2015-06-26 Zhang Xiaofei , Li Jiarong

A new formulation of the Kubo-Greenwood conductivity for average atom models is given. The new formulation improves upon previous by explicitly including the ionic-structure factor. Calculations based on this new expression lead to much…

等离子体物理 · 物理学 2016-05-25 C. E. Starrett

We study the response of a quantum system induced by a collision with a quantum particle, using the time-independent framework of scattering theory. After deriving the dynamical map for the quantum system, we show that it encodes a…

量子物理 · 物理学 2025-09-18 Samuel L. Jacob , John Goold

Nonlinear density response theory is revisited focusing on the harmonically perturbed finite temperature uniform electron gas. Within the non-interacting limit, brute force quantum kinetic theory calculations for the quadratic, cubic,…

量子气体 · 物理学 2023-05-23 Panagiotis Tolias , Tobias Dornheim , Zhandos A. Moldabekov , Jan Vorberger

We study general linear transport-reaction systems on an arbitrary dimensional hypercube with periodic boundary conditions. Transport-reaction systems are often used to model the finite speed movement and interaction of particles, bacteria…

偏微分方程分析 · 数学 2022-10-04 Benedikt Geiger

We study nonlinear response in weakly coupled nonequilibrium $\phi^4$ theory in the context of both classical transport theory and real time quantum field theory, based on a generalized Kubo formula which we derive. A novel connection…

高能物理 - 唯象学 · 物理学 2008-11-26 M. E. Carrington , Hou Defu , R. Kobes

In this paper, Non-Equilibrium Steady State induced by electric field and the conductivity of non-interacting fermion systems under the dissipative dynamics is discussed. The dissipation is taken into account within a framework of the…

数学物理 · 物理学 2020-12-02 Kazuki Yamaga

With a decomposition scheme for the bath correlation function, the hierarchical equations of motion (HEOM) are extended to the zero-temperature sub-Ohmic and Ohmic spin-boson model. We investigate the linear absorption spectrum of the…

量子物理 · 物理学 2023-02-06 Qianlong Wang , Jianlan Wu

For an isotropic single-band system, it is well known that the semiclassical Boltzmann transport theory within the relaxation time approximation and the Kubo formula with the vertex corrections provide the same result with the…

介观与纳米尺度物理 · 物理学 2019-04-11 Sunghoon Kim , Seungchan Woo , Hongki Min

We consider an ergodic Schr\"odinger operator with magnetic field within the non-interacting particle approximation. Justifying the linear response theory, a rigorous derivation of a Kubo formula for the electric conductivity tensor within…

数学物理 · 物理学 2011-03-30 N. Dombrowski , F. Germinet

We review the Kubo formulae relevant to study anomalous transport properties of relativistic fluids. We apply this formalism to perform a computation of the transport coefficients in a holographic massive gravity model including vorticity…

高能物理 - 理论 · 物理学 2017-04-26 Eugenio Megias

Nonlinear electromagnetic response functions have reemerged as a crucial tool for studying quantum materials. Most attention has been paid to responses to spatially uniform electric fields, relevant to optical experiments in conventional…

介观与纳米尺度物理 · 物理学 2024-03-28 Robert C. McKay , Fahad Mahmood , Barry Bradlyn

A real-time thermal field theoretical calculation of shear viscosity has been described in the Kubo formalism for bosonic and fermionic medium. The two point function of viscous stress tensor in the lowest order provides one-loop skeleton…

核理论 · 物理学 2014-04-21 Sabyasachi Ghosh