activity
20072023
most citedDynamical typicality of quantum expectation values

182 citations · 300 across the 14 of their papers we have counts for

collaborators

14 papers

cond-mat.stat-mech2023★ 10 cited

Estimation of equilibration time scales from nested fraction approximations

Christian Bartsch, Anatoly Dymarsky, Mats H. Lamann +3

We consider an autocorrelation function of a quantum mechanical system through the lens of the so-called recursive method, by iteratively evaluating Lanczos coefficients, or solvin…

quant-ph2022★ 3 cited

Stability of Exponentially Damped Oscillations under Perturbations of the Mori-Chain

Robin Heveling, Jiaozi Wang, Christian Bartsch +1

There is an abundance of evidence that some relaxation dynamics, e.g., exponential decays, are much more common in nature than others. Recently, there have been attempts to trace t…

cond-mat.stat-mech2019★ 6 cited

Relaxation of dynamically prepared out-of-equilibrium initial states within and beyond linear response theory

Jonas Richter, Mats H. Lamann, Christian Bartsch +2

We consider a realistic nonequilibrium protocol, where a quantum system in thermal equilibrium is suddenly subjected to an external force. Due to this force, the system is driven o…

cond-mat.stat-mech2017★ 16 cited

Necessity of eigenstate thermalization for equilibration towards unique expectation values when starting from generic initial states

Christian Bartsch, Jochen Gemmer

We investigate dynamical equilibration of expectation values in closed quantum systems for realistic non-equilibrium initial states. Thereby we find that the corresponding long tim…

cond-mat.str-el2013★ 6 cited

Thermal drag in spin ladders coupled to phonons

Christian Bartsch, Wolfram Brenig

We study the spin-phonon drag effect in the magnetothermal transport of spin-1/2 two-leg ladders coupled to lattice degrees of freedom. Using a bond operator description for the tr…

cond-mat.quant-gas2012★ 2 cited

Boltzmann-type approach to transport in weakly interacting one-dimensional fermionic systems

Christian Bartsch, Jochen Gemmer

We investigate transport properties of one-dimensional fermionic tight binding models featuring nearest and next-nearest neighbor hopping, where the fermions are additionally subje…

quant-ph2011★ 15 cited

Transient fluctuation theorem in closed quantum systems

Christian Bartsch, Jochen Gemmer

Our point of departure are the unitary dynamics of closed quantum systems as generated from the Schrödinger equation. We focus on a class of quantum models that typically exhibit r…

math.PR2011

Cookie branching random walks

Christian Bartsch, Michael Kochler, Thomas Kochler +2

We consider a branching random walk on , where the particles behave differently in visited and unvisited sites. Informally, each site on the positive half-line contains initial…

cond-mat.quant-gas2010★ 4 cited

Projection operator approach to master equations for coarse grained occupation numbers in non-ideal quantum gases

Christian Bartsch, Robin Steinigeweg, Jochen Gemmer

We aim at deriving an equation of motion for specific sums of momentum mode occupation numbers from models for electrons in periodic lattices experiencing elastic scattering, elect…

cond-mat.mes-hall2010★ 1 cited

Finite size effects on transport coefficients for models of atomic wires coupled to phonons

Christian Bartsch, Jochen Gemmer

We consider models of quasi-1-d, planar atomic wires consisting of several, laterally coupled rows of atoms, with mutually non-interacting electrons. This electronic wire system is…

math.PR2009★ 12 cited

Survival and Growth of a Branching Random Walk in Random Environment

Christian Bartsch, Nina Gantert, Michael Kochler

We consider a particular Branching Random Walk in Random Environment (BRWRE) on $\sN_0$ started with one particle at the origin. Particles reproduce according to an offspring distr…

quant-ph2009★ 182 cited

Dynamical typicality of quantum expectation values

Christian Bartsch, Jochen Gemmer

We show that the vast majority of all pure states featuring a common expectation value of some generic observable at a given time will yield very similar expectation values of the…

cond-mat.stat-mech2007★ 39 cited

Occurrence of exponential relaxation in closed quantum systems

Christian Bartsch, Robin Steinigeweg, Jochen Gemmer

We investigate the occurrence of exponential relaxation in a certain class of closed, finite systems on the basis of a time-convolutionless (TCL) projection operator expansion for…

cond-mat.stat-mech2007★ 4 cited

Statistical Relaxation in Closed Quantum Systems and the Van Hove-Limit

Christian Bartsch, Pedro Vidal

We analyze the dynamics of occupation probabilities for a certain type of design models by the use of two different methods. On the one hand we present some numerical calculations…