Delocalization of quantum information in long-range interacting systems
- URL: http://arxiv.org/abs/2105.06346v2
- Date: Tue, 19 Oct 2021 09:06:00 GMT
- Title: Delocalization of quantum information in long-range interacting systems
- Authors: Darvin Wanisch and Stephan Fritzsche
- Abstract summary: We investigate the delocalization of quantum information in the nonequilibrium dynamics of the $XY$ spin chain withally decaying interactions.
Our findings give new insights into the dynamics, and structure of quantum information in many-body systems with long-range interactions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate the delocalization of quantum information in the
nonequilibrium dynamics of the $XY$ spin chain with asymptotically decaying
interactions $\sim 1/r^{\alpha}$. As a figure of merit, we employ the
tripartite mutual information (TMI), whose sign indicates if quantum
information is predominantly shared globally. Interestingly, the sign of the
TMI distinguishes regimes of the exponent $\alpha$ that are known for different
behaviour of information propagation. While an effective causal region bounds
the propagation of information, if interactions decay sufficiently fast, this
information is mainly delocalized, which leads to the necessity of global
measurements. Furthermore, the results indicate that mutual information is
monogamous for all possible partitionings in this case, implying that quantum
entanglement is the dominant correlation. If interactions decay sufficiently
slow, though information can propagate (quasi-)instantaneously, it is mainly
accessible by local measurements at early times. Furthermore, it takes some
finite time until correlations start to become monogamous, which suggests that
apart from entanglement, other nonmonogamous correlations are sizeable at early
times. Our findings give new insights into the dynamics, and structure of
quantum information in many-body systems with long-range interactions, and
might get verified on state-of-the-art experimental platforms.
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