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Other literature type . 2025
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
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Global Mode Geometry as the Origin of Ultrametric Order in Multimode Cavity QED Spin Glasses

Authors: Hasselbring, Paul;

Global Mode Geometry as the Origin of Ultrametric Order in Multimode Cavity QED Spin Glasses

Abstract

Spin glass behavior is traditionally attributed to quenched disorder and frustrated local interactions. However, recent experiments in multimode cavity quantum electrodynamics (QED) systems have demonstrated the emergence of replica symmetry breaking and ultrametric organization in the absence of conventional microscopic disorder. This work analyzes experimental results reported in a driven–dissipative multimode cavity QED platform, in which atomic spins interact through a small number of global photonic modes. Despite the lack of random local couplings, the system exhibits hallmark features of spin glass physics, including hierarchical state organization and ultrametric overlap structure. We show that these observations admit a natural physical interpretation in terms of global mode geometry. In this framework, atomic spins act as boundary conditions on a constrained electromagnetic field, and ultrametricity arises from nested compatibility conditions between collective modes rather than from combinatorial frustration. Replica symmetry breaking emerges as a statistical signature of this underlying mode geometry, not as a fundamental property of local spin interactions. This interpretation is complementary to effective Ising Hamiltonian and replica-theoretic descriptions, which successfully capture the statistical phenomenology. By identifying a physical mechanism rooted in global mode constraints, the present analysis provides insight into how glassy order can arise in driven quantum systems without quenched disorder. Together with independent results in gravitational and quantum foundational contexts, these findings support a geometry-first perspective on collective ordering phenomena and place strong constraints on disorder-based interpretations of spin glass behavior.

Keywords

Quantum many-body systems, Spin glasses, Geometric interpretation, Cavity quantum electrodynamics, Ultrametricity, Multimode cavity QED, Collective modes, Driven-dissipative systems, Replica symmetry breaking

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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