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@INPROCEEDINGS{Jin:811603,
author = {Jin, Fengping and Steinigeweg, Robin and De Raedt, Hans and
Michielsen, Kristel and Campisi, Michele and Gemmer, Jochen},
title = {{S}imulations for testing the validity of the {J}arzynski
relation for non-{G}ibbsian initial states in isolated
quantum spin systems},
reportid = {FZJ-2016-04022},
year = {2016},
abstract = {Quantum spin systems provide rich opportunities to study
properties of collective quantum behavior. There exist
various numerical algorithms to simulate the real- and
imaginary-time evolution of quantum spin systems, such as
the second-order product formula and Chebyshev polynomial
algorithms. These algorithms can easily simulate systems
with up to 36 spins on current supercomputers. The system
size is much larger than the size one can simulate with the
exact diagonalization approach. We present large-scale
simulation results for a spin ladder system to test the
validity of the Jarzynski relation for non-Gibbsian initial
states . Since the introduction of the Jarzynski equality
many derivations of this equality have been presented in
both, the classical and the quantum context. While the
approaches and settings greatly differ from one to another,
they all appear to rely on the initial state being a thermal
Gibbs state. Here, we present an investigation of work
distributions in driven isolated quantum systems, starting
off from pure states that are close to energy eigenstates of
the initial Hamiltonian. We find that, for the nonintegrable
system in quest, the Jarzynski equality is fulfilled to good
accuracy.},
month = {Jul},
date = {2016-07-18},
organization = {26th IUPAP International Conference on
Statistical Physics, Lyon (France), 18
Jul 2016 - 22 Jul 2016},
subtyp = {Other},
cin = {JSC / JARA-HPC},
cid = {I:(DE-Juel1)JSC-20090406 / $I:(DE-82)080012_20140620$},
pnm = {511 - Computational Science and Mathematical Methods
(POF3-511)},
pid = {G:(DE-HGF)POF3-511},
typ = {PUB:(DE-HGF)24},
url = {https://juser.fz-juelich.de/record/811603},
}