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Localization and Criticality in Antiblockaded Two-Dimensional Rydberg Atom Arrays
Fangli Liu1, Zhi-Cheng Yang1, Przemyslaw Bienias1
1Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, USA.
Physical Review Letters
|January 21, 2022
Summary
Positional disorder in Rydberg atom arrays creates a 2D Lieb lattice, revealing critical, delocalized, and flat band regimes. Quench dynamics can probe these distinct quantum matter states.
Area of Science:
- Quantum physics
- Quantum matter
- Atomic physics
Background:
- Controllable Rydberg atom arrays offer insights into quantum matter.
- Understanding the impact of disorder is crucial for quantum simulations.
Purpose of the Study:
- Investigate the effect of positional disorder on Rydberg atoms in a 2D square lattice.
- Analyze the resulting quantum connectivity and emergent lattice structures.
Main Methods:
- Simulated Rydberg atoms in a 2D square lattice under antiblockade conditions.
- Introduced varying strengths of positional disorder.
- Analyzed the connectivity graph and Hilbert space subspaces.
Main Results:
- Facilitation conditions lead to a 2D Lieb lattice with a singular flat band.
- Identified three disorder strength regimes: critical, delocalized nonergodic, and disorder-induced flat band.
- The critical regime's existence is tied to the flat band, absent in 1D systems.
Conclusions:
- Positional disorder in Rydberg atom arrays can induce novel quantum phenomena.
- The 2D Lieb lattice and its flat band are key to observing these regimes.
- Quench dynamics offer a viable experimental probe for these distinct quantum states.
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