Quantum many-body scars from unstable periodic orbits
- URL: http://arxiv.org/abs/2401.06848v1
- Date: Fri, 12 Jan 2024 19:00:02 GMT
- Title: Quantum many-body scars from unstable periodic orbits
- Authors: Bertrand Evrard, Andrea Pizzi, Simeon I. Mistakidis, Ceren B. Dag
- Abstract summary: Unstable periodic orbits play a key role in the theory of chaos.
We find the first quantum many-body scars originating from UPOs of a chaotic phase space.
- Score: 30.38539960317671
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Unstable periodic orbits (UPOs) play a key role in the theory of chaos,
constituting the "skeleton" of classical chaotic systems and "scarring" the
eigenstates of the corresponding quantum system. Recently, nonthermal many-body
eigenstates embedded in an otherwise thermal spectrum have been identified as a
many-body generalization of quantum scars. The latter, however, are not clearly
associated to a chaotic phase space, and the connection between the single- and
many-body notions of quantum scars remains therefore incomplete. Here, we find
the first quantum many-body scars originating from UPOs of a chaotic phase
space. Remarkably, these states verify the eigenstate thermalization
hypothesis, and we thus refer to them as thermal quantum many-body scars. While
they do not preclude thermalization, their spectral structure featuring
approximately equispaced towers of states yields an anomalous oscillatory
dynamics preceding thermalization for wavepackets initialized on an UPO.
Remarkably, our model hosts both types of scars, thermal and nonthermal, and
allows to study the crossover between the two. Our work illustrates the
fundamental principle of classical-quantum correspondence in a many-body
system, and its limitations.
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