Quantum hard disks on a lattice

2023/11/27 by Vighnesh Dattatraya Naik, Fabian Ballar Trigueros, Markus Heyl · 1 voice · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Quantum, superfluid, helium dynamics #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physrevb.110.l220303

arxiv published 2023/11/27 · arxiv updated 2024/01/15 · openalex publication_date 2024/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/26

Abstract

We formulate a quantum version of the hard-disk problem on lattices, which exhibits a natural realization in systems of Rydberg atoms. We find that quantum hard disks exihibit unique dynamical quantum features. In 1D, the crystal melting process displays ballistic behavior as opposed to classical sub-diffusion. For 2D, crystal structures remain intact against most defects, whereas classically they are washed out completely. We link this peculiar quantum behavior to quantum many-body scars. Our study highlights the potential of constrained 2D quantum matter to display unique dynamical behaviors.

Citations

• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Probing Topological Spin Liquids on a Programmable Quantum Simulator

Cited by

• Dynamics of defects and interfaces for interacting quantum hard disks
• Exact solution and Luttinger liquid behavior of the quantum 1D hard rod model
• Floquet Many-Body Cages
• Many-body cages: disorder-free glassiness from flat bands in Fock space, and many-body Rabi oscillations

Discussions

• Quantum hard disks Quantum counterpart of hard disks on a lattice yields unique quantum features. Quantum interference stabilizes crystals and leads to emergence of quantum many-body scars. Naturally [bsky, 2 points, 0 comments]

Related

• Dynamics of defects and interfaces for interacting quantum hard disks
• Quantum Many-Body Scarring in 2+1D Gauge Theories with Dynamical Matter
• Constructing Quantum Many-Body Scars from Hilbert Space Fragmentation
• Quantum Many-Body Scars and Weak Breaking of Ergodicity
• Emergent SU(2) dynamics and perfect quantum many-body scars