Probing quantum chaos in multipartite systems
- URL: http://arxiv.org/abs/2111.12475v3
- Date: Mon, 22 Aug 2022 01:13:10 GMT
- Title: Probing quantum chaos in multipartite systems
- Authors: Zan Cao, Zhenyu Xu, and Adolfo del Campo
- Abstract summary: We show that the contribution of the subsystems to the global behavior can be revealed by probing the full counting statistics.
We show that signatures of quantum chaos in the time domain dictate a dip-ramp-plateau structure in the characteristic function.
Global quantum chaos can be suppressed at strong coupling.
- Score: 4.771483851099131
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Understanding the emergence of quantum chaos in multipartite systems is
challenging in the presence of interactions. We show that the contribution of
the subsystems to the global behavior can be revealed by probing the full
counting statistics of the local, total, and interaction energies. As in the
spectral form factor, signatures of quantum chaos in the time domain dictate a
dip-ramp-plateau structure in the characteristic function, i.e., the Fourier
transform of the eigenvalue distribution. With this approach, we explore the
fate of chaos in interacting subsystems that are locally maximally chaotic.
Global quantum chaos can be suppressed at strong coupling, as illustrated with
coupled copies of random-matrix Hamiltonians and of the Sachdev-Ye-Kitaev
model. Our method is amenable to experimental implementation using single-qubit
interferometry.
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