Statistical mechanics explores how the chaotic motion of countless tiny particles gives rise to the predictable laws governing heat, pressure, and phase transitions. This field bridges the gap between the microscopic world of atoms and the macroscopic reality we experience daily, offering deep insights into why materials behave the way they do.

On Gist.Science, we process every new preprint in this category as it appears on arXiv to make these complex findings accessible to everyone. For each paper, we provide both a plain-language explanation for the curious reader and a detailed technical summary for specialists, ensuring that groundbreaking research is never lost behind a wall of jargon.

Below are the latest papers in statistical mechanics, freshly curated and summarized to help you understand the cutting edge of this fascinating discipline.

Information phases of partial projected ensembles generated from random quantum states and scrambling dynamics

This paper introduces partial projected ensembles to characterize quantum information distribution in tripartite systems, revealing distinct information phases defined by the scaling of Holevo information that uncover a measurement-invisible quantum-correlated phase and provide a finer probe of scrambling dynamics than conventional entanglement measures.

Alan Sherry, Saptarshi Mandal, Sthitadhi Roy2026-04-22⚛️ quant-ph

Anderson localisation in spatially structured random graphs

This paper investigates Anderson localisation on high-dimensional graphs with spatially structured, distance-dependent hopping, revealing that increasing the hopping range shifts the localisation transition to stronger disorder and can ultimately eliminate the localised phase entirely, while confirming a direct transition between delocalised and localised states without an intervening multifractal phase.

Bibek Saha, Sthitadhi Roy2026-04-22⚛️ quant-ph

Construction of asymptotic quantum many-body scar states in the SU(NN) Hubbard model

This paper constructs asymptotic quantum many-body scar states in one-dimensional SU(NN) Hubbard chains (N3N\geq 3) by embedding them into an auxiliary subspace governed by an SU(NN) ferromagnetic Heisenberg parent Hamiltonian, thereby demonstrating that gapless magnons in this model yield explicit scars with vanishing energy variance and subvolume entanglement entropy in the thermodynamic limit.

Daiki Hashimoto, Masaya Kunimi, Tetsuro Nikuni2026-04-22🔬 cond-mat

Conformal Data for the O(2)O(2) Wilson-Fisher CFT in (2+1)(2+1)-Dimensional Spacetime from Exact Diagonalization and Matrix Product States on the Fuzzy Sphere

This paper utilizes exact diagonalization and matrix product state techniques on a fuzzy sphere to extract conformal data for the (2+1)(2+1)-dimensional O(2)O(2) Wilson-Fisher CFT, identifying 32 primary operators and verifying their scaling dimensions against conformal bootstrap predictions and large charge expansion results.

Arjun Dey, Loic Herviou, Christopher Mudry, Slava Rychkov, Andreas Martin Läuchli2026-04-22⚛️ hep-lat