Perturbative Stability and Error-Correction Thresholds of Quantum Codes by Yaodong Li, Nicholas O’Dea, Vedika Khemani

“…We connect the two notions of stability by constructing classical statistical mechanics models for decoding general Calderbank-Shor-Steane codes and classical linear codes. …”
Get full text

Thermodynamics of the Classical Planar Ferromagnet Close to the Zero-Temperature Critical Point: A Many-Body Approach by L. S. Campana, A. Cavallo, L. De Cesare, U. Esposito, A. Naddeo

“…We explore the low-temperature thermodynamic properties and crossovers of a d-dimensional classical planar Heisenberg ferromagnet in a longitudinal magnetic field close to its field-induced zero-temperature critical point by employing the two-time Green’s function formalism in classical statistical mechanics. By means of a classical Callen-like method for the magnetization and the Tyablikov-like decoupling procedure, we obtain, for any d, a low-temperature critical scenario which is quite similar to the one found for the quantum counterpart. …”
Get full text

Modeling and analysis of ensemble average solvation energy and solute–solvent interfacial fluctuations by Shao Yuanzhen, Chen Zhan, Zhao Shan

“…Drawing upon principles of statistical mechanics and geometric measure theory, we rigorously demonstrate that the proposed models effectively capture EASE during the solvation process. …”
Get full text

Teaching ideal quantum measurement, from dynamics to interpretation by Allahverdyan, Armen E., Balian, Roger, Nieuwenhuizen, Theo M.

“…We present a graduate course on ideal measurements, analyzed as dynamical processes of interaction between the tested system S and an apparatus A, described by quantum statistical mechanics. The apparatus A = M + B involves a macroscopic measuring device M and a bath B. …”
Get full text

Extensive composable entropy for the analysis of cosmological data by Constantino Tsallis, Henrik Jeldtoft Jensen

“…Still, its intriguing area dependence points out the relevance of considering the form W(N)∼μNγ(μ>1;γ>0), W and N respectively being the total number of microscopic possibilities and the number of components; γ=1 corresponds to standard Boltzmann-Gibbs (BG) statistical mechanics. For this W(N) asymptotic behavior, we make use of the group-theoretic entropic functional Sα,γ=k[ln⁡Σi=1Wpiα1−α]1γ(α∈R;S1,1=SBG≡−k∑i=1Wpiln⁡pi), first derived by P. …”
Get full text

Deterministic Annealing Approach to Fuzzy C-Means Clustering Based on Entropy Maximization by Makoto Yasuda

“…By maximizing the Shannon entropy, the fuzzy entropy, or the Tsallis entropy within the framework of the fuzzy c-means (FCM) method, membership functions similar to the statistical mechanical distribution functions are obtained. …”
Get full text

An Area Rescaling Ansatz and Black Hole Entropy from Loop Quantum Gravity by Abhishek Majhi

“…Considering the possibility of ‘renormalization’ of the gravitational constant on the horizon, leading to a dependence on the level of the associated Chern-Simons theory, a rescaled area spectrum is proposed for the nonrotating black hole horizon in loop quantum gravity. The statistical mechanical calculation leading to the entropy provides a unique choice of the rescaling function for which the Bekenstein-Hawking area law is yielded without the need to choose the Barbero-Immirzi parameter (γ). γ is determined, rather than being chosen, by studying the limit in which the ‘renormalized’ gravitational constant on the horizon asymptotically approaches the ‘bare’ value. …”
Get full text

Topological Excitations in Quantum Spin Systems by Ranjan Chaudhury, Samir K. Paul

“…Through a novel approach of ours, a bridge is established between field theoretical formalism and the well-known statistical mechanical treatment of Berezinskii-Kosterlitz-Thouless (BKT) transition involving these topological excitations. …”
Get full text