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Quantum Monte Carlo simulations offer an unbiased means to study the static and dynamic properties of quantum critical systems, while quantum field theory provides direct analytical results. We study three dimensional, critical quantum…

Strongly Correlated Electrons · Physics 2017-11-15 H. D. Scammell , Y. Kharkov , Yan Qi Qin , Zi Yang Meng , B. Normand , O. P. Sushkov

Motivated in part by quantum criticality in dissipative Kondo systems, we revisit the finite-size scaling of a classical Ising chain with 1/r^{2-epsilon} interactions. For 1/2<epsilon<1, the scaling of the dynamical spin susceptibility is…

Strongly Correlated Electrons · Physics 2009-04-24 Stefan Kirchner , Qimiao Si , Kevin Ingersent

We present an accurate numerical determination of the crossover from classical to Ising-like critical behavior upon approach of the critical point in three-dimensional systems. The possibility to vary the Ginzburg number in our simulations…

Statistical Mechanics · Physics 2009-10-31 Erik Luijten , Kurt Binder

We extend the Prometheus framework for unsupervised phase transition discovery from two-dimensional classical systems to three-dimensional classical systems and quantum many-body systems. Building upon preliminary observations from a 2D…

Disordered Systems and Neural Networks · Physics 2026-04-21 Brandon Yee , Wilson Collins , Pairie Koh , Maximilian Rutkowski

We address the critical and universal aspects of counterion-condensation transition at a single charged cylinder in both two and three spatial dimensions using numerical and analytical methods. By introducing a novel Monte-Carlo sampling…

Soft Condensed Matter · Physics 2007-05-23 Ali Naji , Roland R. Netz

We introduce the functional field integral approach to study the statistics of quantum work under nonequilibrium conditions and derive the general formalism for a bilinear Hamiltonian with arbitrary time dependence. The method is then…

Strongly Correlated Electrons · Physics 2019-07-24 Jian-Jun Dong , Yi-feng Yang

The two-dimensional Ising model is the simplest model of statistical mechanics exhibiting a second order phase transition. While in absence of magnetic field it is known to be solvable on the lattice since Onsager's work of the forties,…

High Energy Physics - Theory · Physics 2009-11-10 Gesualdo Delfino

We use large-scale Monte Carlo simulations to test the Weinrib-Halperin criterion that predicts new universality classes in the presence of sufficiently slowly decaying power-law-correlated quenched disorder. While new universality classes…

Disordered Systems and Neural Networks · Physics 2019-11-06 Wenlong Wang , Hannes Meier , Jack Lidmar , Mats Wallin

We investigate by means of Monte Carlo simulations the dynamic phase transition of the two-dimensional kinetic Blume-Capel model under a periodically oscillating magnetic field in the presence of a quenched random crystal-field coupling. We…

Statistical Mechanics · Physics 2021-08-10 Alexandros Vasilopoulos , Zeynep Demir Vatansever , Erol Vatansever , Nikolaos G. Fytas

Lattice-gas models for CO oxidation can exhibit a discontinuous nonequilibrium transition between reactive and inactive states, which disappears above a critical CO-desorption rate. Using finite-size-scaling analysis, we demonstrate a…

Statistical Mechanics · Physics 2007-05-23 Da-Jiang Liu , N. Pavlenko , J. W. Evans

The antiferromagnetic Ising model on the pyrochlore lattice exhibits a quantum phase transition in an applied transverse field from the low-field quantum spin-ice phase to the high-field polarized regime. Recent field-theoretical analysis…

Strongly Correlated Electrons · Physics 2018-12-04 Patrick Emonts , Stefan Wessel

We study graphical representations for two related models. The first model is the transverse field quantum Ising model, an extension of the original Ising model which was introduced by Lieb, Schultz and Mattis in the 1960's. The second…

Probability · Mathematics 2010-11-12 Jakob E. Björnberg

We report extensive Monte Carlo simulations of the Widom-Rowlinson lattice model in two and three dimensions. Our results yield precise values for the critical activities and densities, and clearly place the critical behavior in the Ising…

chem-ph · Physics 2016-08-31 Ronald Dickman , George Stell

We study the quantum Ising model in the transverse inhomogeneous magnetic field. Such a system can be approached numerically through exact diagonalization and analytically through the renormalization group techniques. Basic insights into…

Statistical Mechanics · Physics 2017-11-22 Mateusz Łącki , Bogdan Damski

We investigate the critical behaviors of correlation length and critical exponents for strongly interacting bosons in a two-dimensional optical lattice via quantum Monte Carlo simulations. By comparing the full numerical results to those…

Quantum Gases · Physics 2017-05-24 Hao Lee , Shiang Fang , Daw-Wei Wang

Uncovering and understanding universal dynamics in matter far from equilibrium remains a key challenge. In this work, we identify a so far unrecognized form of universal behavior that emerges after a sudden symmetry-breaking quench at…

Quantum Physics · Physics 2026-05-11 Tobias Wiener , Laurin Brunner , Markus Heyl

We investigate the dynamic critical exponent of the two-dimensional Ising model defined on a curved surface with constant negative curvature. By using the short-time relaxation method, we find a quantitative alteration of the dynamic…

Statistical Mechanics · Physics 2009-11-11 Hiroyuki Shima , Yasunori Sakaniwa

The recent discovery of extraordinary-log universality has generated intense interest in classical and quantum boundary critical phenomena. Despite tremendous efforts, the existence of quantum extraordinary-log universality remains…

Statistical Mechanics · Physics 2022-12-06 Yanan Sun , Jian-Ping Lv

We investigate the challenge of classical simulation of unitary quantum dynamics with variational Monte Carlo approaches, addressing the instabilities and high computational demands of existing methods. By systematically analyzing the…

Quantum Physics · Physics 2025-07-30 Luca Gravina , Vincenzo Savona , Filippo Vicentini

We study the influence of Ohmic dissipation on the random transverse-field Ising chain by means of large-scale Monte-Carlo simulations. To this end, we first map the Hamiltonian onto a classical Ising model with long-range $1/\tau^2$…

Strongly Correlated Electrons · Physics 2013-07-30 Manal Al-Ali , Thomas Vojta
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