The (PXP)$^2$ model: long-range quantum scars in optical cavities

• URL: http://arxiv.org/abs/2510.02246v1
• Date: Thu, 02 Oct 2025 17:33:41 GMT
• Title: The (PXP)$^2$ model: long-range quantum scars in optical cavities
• Authors: Hossein Hosseinabadi, Riccardo J. Valencia-Tortora, Aleksandr N. Mikheev, Darrick E. Chang, Johannes Zeiher, Roderich Moessner, Jamir Marino,
• Abstract summary: Rydberg-cavity systems are emerging as promising platforms for quantum simulation and quantum information processing.<n>In this work, we introduce a minimal and scalable model for such systems.
• Score: 33.77676777949295
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Rydberg-cavity systems are emerging as promising platforms for quantum simulation and quantum information processing. These hybrid architectures combine two complementary interaction mechanisms: cavity photons mediate collective long-range couplings, while Rydberg excitations generate strong short-range interactions. Together, they offer a setting for engineering many-body phases characterized by a hierarchy of interactions across widely different length scales. In this work, we introduce a minimal and scalable model for such systems. Focusing on the strong Rydberg blockade regime, we restrict the Hilbert space to the subspace enforced by the blockade, yielding a kinetically constrained long-range model in one spatial dimension. This approach both captures the physics of Rydberg-cavity experiments in the regime of strong Rydberg interactions and provides a conceptually transparent framework for studying the interplay of long-range and short-range interactions. At equilibrium, in addition to paramagnetic and N\'eel-ordered phases, the system supports a blockaded ferromagnetic/superradiant phase, distinct from the conventional superradiant phase. Out of equilibrium, we identify long-range quantum many-body scars, which are atypical nonthermal eigenstates that evade the eigenstate thermalization hypothesis, and giving rise to slow entanglement growth. In contrast to the linear-in-time entanglement growth characteristic of short-range scarred models, these long-range scars exhibit logarithmic entanglement dynamics. Our results establish a minimal yet versatile framework for Rydberg-cavity systems, and provide a stepping stone for future theoretical and experimental studies of this frontier platform in quantum many-body physics.

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