Construction of quantum many-body scars in higher-dimensional spinless fermion systems
ORAL
Abstract
The recent experiment on Rydberg atoms [1] observed anomalously slow thermalizing dynamics from certain initial states, even though the system is non-integrable. This behavior originates from the existence of quantum many-body scarred (QMBS) states, which are non-thermal states violating the eigenstate thermalization hypothesis.
Motivated by the experiment, various constructions of models with QMBS states have been proposed [2]. However, most of the studies are limited to one-dimensional and/or spin systems, and only a few examples have been found in higher-dimensional and fermionic systems [3].
We propose a class of spinless fermionic models with QMBS states, defined on general higher-dimensional lattices.
In our construction, the models include density-assisted tunneling and are examples of models with disorder because the parameters do not have to be uniform.
We also show that the QMBS states can be constructed exactly and see that their entanglement entropy and expectation values of a physical quantity have atypical values.
[1] H. Bernien et al., Nature 551, 579 (2017)
[2] N. Shibata et al., Phys. Rev. Lett. 124, 180604 (2020)
[3] K. Pakrouski et al., arXiv:2106.10300 (2021)
Motivated by the experiment, various constructions of models with QMBS states have been proposed [2]. However, most of the studies are limited to one-dimensional and/or spin systems, and only a few examples have been found in higher-dimensional and fermionic systems [3].
We propose a class of spinless fermionic models with QMBS states, defined on general higher-dimensional lattices.
In our construction, the models include density-assisted tunneling and are examples of models with disorder because the parameters do not have to be uniform.
We also show that the QMBS states can be constructed exactly and see that their entanglement entropy and expectation values of a physical quantity have atypical values.
[1] H. Bernien et al., Nature 551, 579 (2017)
[2] N. Shibata et al., Phys. Rev. Lett. 124, 180604 (2020)
[3] K. Pakrouski et al., arXiv:2106.10300 (2021)
*JSPS KAKENHI Grant Numbers JP21J11575 and JP18K03445, and JSPS Grant-in-Aid for Scientific Research on Innovative Areas, Grant No. JP20H04630
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Presenters
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Kensuke Tamura
- Department of Physics, The University of Tokyo