Temporal entanglement, quasiparticles and the role of interactions
- URL: http://arxiv.org/abs/2112.14264v2
- Date: Fri, 3 Jun 2022 12:17:21 GMT
- Title: Temporal entanglement, quasiparticles and the role of interactions
- Authors: Giacomo Giudice, Giuliano Giudici, Michael Sonner, Julian Thoenniss,
Alessio Lerose, Dmitry A. Abanin, Lorenzo Piroli
- Abstract summary: We analyze quantum quenches in a family of discrete integrable dynamics corresponding to the real-time Trotterization of the interacting XXZ Heisenberg model.
Our findings highlight the non-trivial role of interactions, and raise interesting questions on the possibility to efficiently simulate the local dynamics of interacting integrable systems.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In quantum many-body dynamics admitting a description in terms of
non-interacting quasiparticles, the Feynman-Vernon influence matrix (IM),
encoding the effect of the system on the evolution of its local subsystems, can
be analyzed exactly. For discrete dynamics, the temporal entanglement (TE) of
the corresponding IM satisfies an area law, suggesting the possibility of an
efficient representation of the IM in terms of matrix-product states. A natural
question is whether and how integrable interactions, which preserve stable
quasiparticles, affect the behavior of the TE. While a simple semiclassical
picture suggests a sublinear growth in time, one can wonder whether
interactions may lead to violations of the area law. We address this problem by
analyzing quantum quenches in a family of discrete integrable dynamics
corresponding to the real-time Trotterization of the interacting XXZ Heisenberg
model. By means of an analytical solution at the dual-unitary point and
numerical calculations for generic values of the system parameters, we provide
evidence that, away from the non-interacting limit, the TE displays a
logarithmic growth in time, thus violating the area law. Our findings highlight
the non-trivial role of interactions, and raise interesting questions on the
possibility to efficiently simulate the local dynamics of interacting
integrable systems.
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