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@ARTICLE{Botzung:902774,
author = {Botzung, T. and Diehl, S. and Müller, M.},
title = {{E}ngineered dissipation induced entanglement transition in
quantum spin chains: {F}rom logarithmic growth to area law},
journal = {Physical review / B},
volume = {104},
number = {18},
issn = {1098-0121},
address = {Woodbury, NY},
publisher = {Inst.},
reportid = {FZJ-2021-04545},
pages = {184422},
year = {2021},
abstract = {Recent theoretical work has shown that the competition
between coherent unitary dynamics and stochastic
measurements, performed by the environment, along wave
function trajectories can give rise to transitions in the
entanglement scaling. In this work, complementary to these
previous studies, we analyze a situation where the role of
Hamiltonian and dissipative dynamics is reversed. We
consider an engineered dissipation, which stabilizes an
entangled phase of a quantum spin−12 chain, while
competing single-particle or interacting Hamiltonian
dynamics induce a disentangled phase. Focusing on the
single-particle unitary dynamics, we find that the system
undergoes an entanglement transition from a logarithmic
growth with system size to an area law when the competition
ratio between the unitary evolution and the nonunitary
dynamics increases. We evidence that the transition
manifests itself in state-dependent observables at a finite
competition ratio for Hamiltonian and measurement dynamics.
On the other hand, it is absent in trajectory-averaged
steady-state dynamics, governed by a Lindblad master
equation: although purely dissipative dynamics stabilizes an
entangled state, for any nonvanishing Hamiltonian
contribution the system ends up irremediably in a disordered
phase. In addition, a single trajectory analysis reveals
that the distribution of the entanglement entropy
constitutes an efficient indicator of the transition.
Complementarily, we explore the competition of the
dissipation with coherent dynamics generated by an
interacting Hamiltonian, and demonstrate that the
entanglement transition also occurs in this second model.
Our results suggest that this type of transition takes place
for a broader class of Hamiltonians, underlining its
robustness in monitored open quantum many-body systems.},
cin = {PGI-2},
ddc = {530},
cid = {I:(DE-Juel1)PGI-2-20110106},
pnm = {5224 - Quantum Networking (POF4-522)},
pid = {G:(DE-HGF)POF4-5224},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000720929400002},
doi = {10.1103/PhysRevB.104.184422},
url = {https://juser.fz-juelich.de/record/902774},
}