Unraveling PXP Many-Body Scars through Floquet Dynamics
-
1.
Universität Innsbruck
-
2.
California Institute of Technology
Abstract
Quantum scars are special eigenstates of many-body systems that evade thermalization. They were first discovered in the PXP model, a well-known effective description of Rydberg atom arrays. Despite significant theoretical efforts, the fundamental origin of PXP scars remains elusive. By investigating the discretized dynamics of the PXP model as a function of the Trotter step 𝜏, we uncover a remarkable correspondence between the zero- and two-particle eigenstates of the integrable Floquet-PXP cellular automaton at 𝜏=𝜋/2 and the PXP many-body scars of the time-continuous limit. Specifically, we demonstrate that PXP scars are adiabatically connected to the eigenstates of the 𝜏=𝜋/2 Floquet operator. Building on this result, we propose a protocol for achieving high-fidelity preparation of PXP scars in Rydberg atom experiments.
Copyright and License
© 2024 American Physical Society.
Acknowledgement
We acknowledge useful discussions with Kartiek Agarwal, Soonwon Choi, Alessio Lerose, Daniel Mark, Leonardo Mazza, Olexei Motrunich, Silvia Pappalardi, Xhek Turkeshi, and Stefano Veroni. G. G. acknowledges support from the European Union’s Horizon Europe program under the Marie Sklodowska Curie Action TOPORYD (Grant No. 101106005). F. M. S. acknowledges support provided by the U.S. Department of Energy Office of Science, Office of Advanced Scientific Computing Research, (DE-SC0020290), by Amazon Web Services, AWS Quantum Program, and by the DOE QuantISED program through the theory consortium “Intersections of QIS and Theoretical Particle Physics” at Fermilab. H. P. acknowledges support from the European Union’s Horizon Europe research and innovation program under Grant Agreement No. 101113690 (PASQuanS2.1), the ERC Starting grant QARA (Grant No. 101041435), and by the Austrian Science Fund (FWF) (Grant DOI: 10.55776/COE).
Supplemental Material
Supplemental material contains 6 sections (PDF):
I) Analytical description of few-particle eigenstates of the integrable CA;
II) Finite-size scaling of the numerical interpolation from the time-continuous PXP model to the integrable CA;
III) Description of the experimental preparation of the initial state for the scar-preparation protocol and details on the numerical optimization of the protocol;
IV) Discussion of the connection between the integrable CA and the emerging integrability in the PXP model;
V) Interpretation of the Z_n PXP scars in the integrable CA;
VI) Discussion of the role of the Rydberg vacuum state in the interpolation between PXP model and PXP-CA;
VII) Discussion of two-dimensional extensions of this work.
Files
| Name | Size | Download all |
|---|---|---|
|
md5:5aab0510790edbd4ef42cc5063e89be3
|
1.1 MB | Preview Download |
|
md5:a467944e018ffc016b67001de30aeed4
|
1.6 MB | Preview Download |
Additional details
- Marie Sklodowska Curie
- 101106005
- United States Department of Energy
- DE-SC0020290
- AWS Quantum Program
- Fermi National Accelerator Laboratory
- European Commission
- 101113690
- European Research Council
- 101041435
- FWF Austrian Science Fund
- Accepted
-
2024-10-03Accepted
- Caltech groups
- AWS Center for Quantum Computing, Institute for Quantum Information and Matter
- Publication Status
- Published