• DOI:10.1103/PHYSREVX.11.021021
• Corpus ID: 219980965

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}
}

• C. J. Turner, Jean-Yves Desaules, +1 author Z. Papi'c
• Published 23 June 2020
• Physics
• arXiv: Quantum Physics

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-dependent variational principle (TDVP), the link between periodic orbits and quasimodes has been missing. Here we provide a conceptually simple analytic construction of quasimodes for the non-integrable Rydberg atom model, and prove that they arise from a "requantisation" of previously established periodic orbits when quantum fluctuations are restored to all orders. Our results shed light on the TDVP classical system simultaneously playing the role of both the mean-field approximation and the system's classical limit, thus allowing to establish a rigorous link between the wavefunction scarring in the Rydberg atom chains and the single-particle quantum systems.