1572 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.
This paper rigorously establishes that belief propagation approximates local observables in gapped quantum many-body systems with exponentially small error when supplemented by cluster corrections, while proving that the method necessarily fails at critical points due to the link between loop-decay conditions and exponential correlation decay.
This paper initiates a novel application of the quantum inverse scattering method to the 20-vertex model by utilizing higher-dimensional L-operators to establish a 3D Poisson structure, triangular height functions, and a framework for weak integrability, thereby extending the study of Hamiltonian systems beyond the previously analyzed 6-vertex model.
The paper proposes a general theory for computing Renyi entropy of multiple disjoint intervals by leveraging the connection between the replica trick and swapping operations, which is validated through applications to the transverse-field Ising model that yield results consistent with conformal field theory at criticality and extendable beyond it.
This paper establishes a field-theoretical framework using boundary conformal field theory to demonstrate that the stabilizer Rényi entropy in (1+1)-dimensional critical systems exhibits universal behavior characterized by the ground-state degeneracy (g-factor) and the scaling dimension of boundary condition changing operators, a finding analytically derived for Ising criticality and numerically validated via tensor network methods.
This paper demonstrates that the stabilizer Rényi entropy serves as an information-theoretic probe for universal properties of conformal defects in one-dimensional quantum critical systems, where its universal terms encode boundary logarithmic corrections and topological defect fusion rules, as analytically derived via boundary conformal field theory and numerically verified in the Ising model.
This paper introduces a benchmarking scheme for digital quantum devices that assesses the quality of entire computations by averaging the target circuit with specific gate ensembles to generate classically solvable correlation functions, thereby enabling noise detection beyond the Clifford regime without altering the circuit's architecture or depth.
This paper introduces and analyzes a new class of nonlocal conformal field theories called "long-range minimal models," constructed by deforming Virasoro minimal models with generalized free fields, and investigates their perturbative and nonperturbative properties, particularly highlighting the challenges at large for deformations versus the well-behaved large- limits and new Mellin amplitude techniques for deformations.
This paper introduces a general analytical framework for quasi-static quantum Stirling engines operating across ground-state level crossings, demonstrating that they achieve Carnot efficiency without a classical regenerator while exhibiting non-extensive work scaling governed by number-theoretic degeneracies like Fibonacci and Lucas numbers.
This paper demonstrates that the two-dimensional nonlinear sigma model possesses a generic complex conformal field theory fixed point in the complex coupling plane, which is numerically confirmed in non-Hermitian Heisenberg spin chains and can be realized through engineered dissipation to prepare long-range entangled states.
This paper demonstrates that while entropy production due to Joule heating does not arise automatically in an exactly solvable, unitary quantum wire model, it emerges in the limit of frequent local measurements by floating probes, where the resulting decoherence and information acquisition effectively realize the Second Law of Thermodynamics.