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The Kubo formula for the conductance of a mesoscopic system is analyzed semiclassically, yielding simple expressions for both weak localization and universal conductance fluctuations. In contrast to earlier work which dealt with times…

Condensed Matter · Physics 2009-10-28 Nathan Argaman

The analysis of the response to driving in the case of weakly chaotic or weakly interacting systems should go beyond linear response theory. Due to the "sparsity" of the perturbation matrix, a resistor network picture of transitions between…

Quantum Physics · Physics 2013-01-22 Doron Cohen

Both in atomic physics and in mesoscopic physics it is sometimes interesting to consider the energy time-dependence of a parametrically-driven chaotic system. We assume an Hamiltonian ${\cal H}(Q,P;x(t))$ where $x(t)=Vt$. The velocity $V$…

Condensed Matter · Physics 2009-10-31 Doron Cohen

We present an \emph{ab initio} calculation within quantum statistical field theory and linear response theory, of the dissipative correction to the momentum spectrum of scalar particles emitted at decoupling (freeze-out) from a relativistic…

Nuclear Theory · Physics 2026-01-01 Francesco Becattini , Daniele Roselli , Xin-Li Sheng

We present a microscopic approach to quantum dissipation and sketch the derivation of the kinetic equation describing the evolution of a simple quantum system in interaction with a complex quantum system. A typical quantum complex system is…

Quantum Physics · Physics 2009-10-31 Aurel Bulgac , Giu Do Dand , Dimitri Kusnezov

The Kubo fluctuation-dissipation theorem relates the current fluctuations of a system in an equilibrium state with the linear AC-conductance. This theorem holds also out of equilibrium provided that the system is in a stationary state and…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 U. Gavish , Y. Imry , B. Yurke

Current can be pumped through a closed system by changing parameters (or fields) in time. Linear response theory (the Kubo formula) allows to analyze both the charge transport and the associated dissipation effect. We make a distinction…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Doron Cohen

The quantum dynamics of a simplest dissipative system, a particle moving in a constant external field , is exactly studied by taking into account its interaction with a bath of Ohmic spectral density. We apply the main idea and methods…

High Energy Physics - Theory · Physics 2019-08-17 Sun , C. P , L. H. Yu

A general non-linear response theory is derived for an arbitrary time-dependent Hamiltonian, not necessarily obeying time-reversal symmetry. This allows us to obtain a greatly generalized Kubo type formula. Applied to a mesoscopic system…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ines Safi

We investigate quantum parameter estimation based on linear and Kerr-type nonlinear controls in an open quantum system, and consider the dissipation rate as an unknown parameter. We show that while the precision of parameter estimation is…

Quantum Physics · Physics 2017-12-12 Beili Gong , Wei Cui

Quantum pumping in closed systems is considered. We explain that the Kubo formula contains all the physically relevant ingredients for the calculation of the pumped charge ($Q$) within the framework of linear response theory. The relation…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Doron Cohen

Quantum dissipation in thermal environment is investigated, using the path integral approach. The reduced density matrix of the harmonic oscillator system coupled to thermal bath of oscillators is derived for arbitrary spectrum of bath…

High Energy Physics - Theory · Physics 2009-10-30 I. Joichi , Sh. Matsumoto , M. Yoshimura

We use linear response theory to derive both the non-dissipative and dissipative effects of spin polarization for massive and massless interacting spin 1/2 particles in a relativistic fluid. We list and classify all the possible…

Nuclear Theory · Physics 2025-07-29 Matteo Buzzegoli

We utilize quantum Fisher information to investigate the damping parameter precision of a dissipative qubit. PT symmetric non-Hermitian Hamiltonian is used to enhance the parameter precision in two models: one is direct PT symmetric quantum…

Quantum Physics · Physics 2019-08-13 Dong Xie , Chunling Xu

We consider an electron in a localized potential submitted to a weak external, timedependent field. In the linear response regime, the response function can be computed using Kubo's formula. In this paper, we consider the numerical…

Analysis of PDEs · Mathematics 2021-02-22 Mi-Song Dupuy , Antoine Levitt

In solid-state physics, energies of molecular systems are usually computed with a plane-wave discretization of Kohn-Sham equations. A priori estimates of plane-wave convergence for periodic Kohn-Sham calculations with pseudopotentials have…

Numerical Analysis · Mathematics 2023-01-02 Mi-Song Dupuy

We present a detailed study of the quantum dissipative dynamics of a charged particle in a magnetic field. Our focus of attention is the effect of dissipation on the low- and high-temperature behavior of the specific heat at constant…

Statistical Mechanics · Physics 2015-05-14 S. Dattagupta , Jishad Kumar , S. Sinha , P. A. Sreeram

The calculation of the heating rate of cold atoms in vibrating traps requires a theory that goes beyond the Kubo linear response formulation. If a strong "quantum chaos" assumption does not hold, the analysis of transitions shows…

Quantum Physics · Physics 2010-11-19 Alexander Stotland , Doron Cohen , Nir Davidson

Within the framework of finite temperature field theory this paper discusses the shear viscosity of hot QED plasma through Kubo formula at one-loop skeleton diagram level with a finite chemical potential. The effective widths(damping rates)…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hui Liu , Defu Hou , Jiarong Li

The discretization approximation method commonly used to simulate the dynamics of quantum system coupled to the environment in continuum often suffers from the periodically partial recovery of initial state because of the effect of finite…

Quantum Physics · Physics 2025-05-07 H. T. Cui , Y. A. Yan , M. Qin , X. X. Yi
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