cond-mat.stat-mech papers

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.

🔬 condensed matter

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model

This paper demonstrates that in error-mitigation strategies for Ising machines, the stacked model's direct inter-replica coupling outperforms the penalty-spin model's centralized approach by maintaining constraint satisfaction and solution quality across various scales, whereas the latter suffers from information dilution and cooperation collapse in large parallel systems.

Tetsuro Abe, Kanta Hino, Shu Tanaka2026-06-18

🔬 condensed matter

Renormalization group analysis of directed percolation process: Towards multiloop calculation of scaling functions

This paper presents a field-theoretic renormalization group study of directed percolation that extends the perturbative calculation of the equation of state to the three-loop order by mapping many diagrams to existing results and developing a semi-analytic technique for the remaining novel ones, while currently serving as an update on ongoing work toward full three-loop scaling functions.

Michal Hnatič, Matej Kecer, Tomáš Lučivjanský, Lukáš Mižišin2026-06-18

🌀 nonlinear sciences

Chaos from quantum bath fluctuations

This paper demonstrates that environmental quantum fluctuations can induce chaos, characterized by a strange attractor and positive Lyapunov exponent, in the dissipative Dicke model even when the underlying classical dynamics are regular, thereby revealing a deep connection to shear-induced chaos.

Ilan Baud, Tamoghna Ray, Mahaveer Prasad, Manas Kulkarni, Camille Aron2026-06-18

🔬 condensed matter

Equilibration of generalized subsystems: a quantum-channel approach

This paper introduces a unified quantum-channel framework for generalized subsystems that demonstrates how quantum systems equilibrate when the dimension of the accessible effective state is small compared to the discarded microscopic information, thereby recovering standard equilibration results and explicitly characterizing residual coherences.

Pedro S. Correia, Adalberto D. Varizi, Gabriel Dias Carvalho2026-06-18

⚛️ high-energy theory

Holographic Dual of PT Symmetric BCFT

This paper proposes a holographic dual for a two-dimensional PT-symmetric boundary conformal field theory using an imaginary scalar field on an end-of-the-world brane, revealing spontaneous PT symmetry breaking at strong coupling and demonstrating that the resulting quantum quenched state exhibits entanglement entropy growth exceeding standard Cardy state predictions.

Ryota Maeda, Nanami Nakamura, Tadashi Takayanagi2026-06-18

🔬 condensed matter

Classical dissipative search of unstructured database

The paper proposes a classical, dissipative physical model using spherical spins and Langevin dynamics to search an unstructured database with a time complexity of ${\cal O}(M^a)$ where $a<1/2$ , claiming to outperform Grover's quantum search algorithm.

A. E. Allahverdyan, Y. Bisharyan2026-06-18

🔬 optics

Thermodynamics of photonic nonlinear Aharonov-Bohm cages

This paper demonstrates that synthetic magnetic flux can control the thermodynamic and transport properties of nonlinear photonic diamond lattices, enabling a transition from conductor to insulator at weak nonlinearity and significantly enhancing thermoelectric efficiency at intermediate nonlinearity through the interplay of Aharonov-Bohm caging and Kerr nonlinearity.

Stefano Iubini, Carlo Danieli2026-06-18

🔬 condensed matter

Nonequilibrium nucleation theory for nonconserved fields: from active matter to population dynamics

This paper develops a nonequilibrium nucleation theory for systems with nonconserved order parameters by defining a reaction coordinate that accounts for interfacial profile deviations, successfully applying the framework to models in active matter and population dynamics with strong agreement to numerical results.

Michalis Chatzittofi, Noah Ziethen, Cesare Nardini, Michael E. Cates2026-06-18

🔬 condensed matter

Large-deviation tails of critical order-parameter distributions

This paper investigates the large-deviation tails of critical order-parameter distributions in percolation and Ising models across various dimensions and topologies, demonstrating that these tails reveal universal features of critical fluctuations—such as stretched-exponential behaviors and distinct scaling regimes—that are not captured by standard averaged observables.

Jinhong Zhu, Yihao Xu, Abbas Ali Saberi, Youjin Deng2026-06-18

🔬 condensed matter

Quantum magic dynamics in random circuits

This paper generalizes statistical mechanical mapping methods to random circuits to derive precise formulas quantifying the dynamics of quantum magic—specifically its competition with entanglement, spreading under Clifford evolution, and manipulation via measurements—thereby elucidating its role as a fundamental resource for quantum computational advantage.

Yuzhen Zhang, Yingfei Gu2026-06-17

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