Correspondence Principle for Many-Body Scars in Ultracold Rydberg Atoms

@article{Turner2020CorrespondencePF,
  title={Correspondence Principle for Many-Body Scars in Ultracold Rydberg Atoms},
  author={Christopher J. Turner and Jean-Yves Desaules and Kieran Bull and Zlatko Papi'c},
  journal={arXiv: Quantum Physics},
  year={2020}
}
The theory of quantum scarring -- a remarkable violation of quantum unique ergodicity -- rests on two complementary pillars: the existence of unstable classical periodic orbits and the so-called quasimodes, i.e., the non-ergodic states that strongly overlap with a small number of the system's eigenstates. Recently, interest in quantum scars has been revived in a many-body setting of Rydberg atom chains. While previous theoretical works have identified periodic orbits for such systems using time… 

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References

SHOWING 1-10 OF 101 REFERENCES
Periodic Orbits
FOR some years past, Prof. G. H. Darwin has been engaged on the numerical solution of a particular case of the problem of three bodies, and at different times he has given some account of the
Slow Quantum Thermalization and Many-Body Revivals from Mixed Phase Space
The relaxation of few-body quantum systems can strongly depend on the initial state when the system’s semiclassical phase space is mixed; i.e., regions of chaotic motion coexist with regular islands.
Weak ergodicity breaking from quantum many-body scars
The thermodynamic description of many-particle systems rests on the assumption of ergodicity, the ability of a system to explore all allowed configurations in the phase space. Recent studies on
Thermalization and Its Absence within Krylov Subspaces of a Constrained Hamiltonian
TLDR
It is shown using a Schrieffer-Wolff transformation that such models naturally appear as effective Hamiltonians in the large electric field limit of the interacting Wannier-Stark problem, and comment on connections of the work with the phenomenon of Bloch many-body localization.
‘E’
  • P. Alam
  • Composites Engineering: An A–Z Guide
  • 2021
A Remark on the Notion of Independence of Quantum Integrals of Motion in the Thermodynamic Limit
Studies of integrable quantum many-body systems have a long history with an impressive record of success. However, surprisingly enough, an unambiguous definition of quantum integrability remains a
Collapse and revival of quantum many-body scars via Floquet engineering
The presence of quantum scars, athermal eigenstates of a many-body Hamiltonian with finite energy density, leads to absence of ergodicity and long-time coherent dynamics in closed quantum systems
Creating quantum many-body scars through topological pumping of a 1D dipolar gas
Quantum many-body scars, long-lived excited states of correlated quantum chaotic systems that evade thermalization, are of great fundamental and technological interest. We create novel scar states in
Ergodicity Breaking Arising from Hilbert Space Fragmentation in Dipole-Conserving Hamiltonians
We show that the combination of charge and dipole conservation---characteristic of fracton systems---leads to an extensive fragmentation of the Hilbert space, which in turn can lead to a breakdown of
Exact Floquet quantum many-body scars under Rydberg blockade
Quantum many-body scars have attracted much interest as a violation of the eigenstate thermalization hypothesis (ETH) due to recent experimental observation in Rydberg atoms and related theoretical
...
1
2
3
4
5
...