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Motivated by the recent observation that exponentially long coherence times can be achieved for edge spins in models with strong zero modes, we study the impact of level crossings in finite-length spin chains on the dynamics of the edge…

Statistical Mechanics · Physics 2019-12-23 Ivo Maceira , Frédéric Mila

Many ecological populations are known to display a cyclic behavior with period 2. Previous work has shown that when a metapopulation (group of coupled populations) with such dynamics is allowed to interact via nearest neighbor dispersal in…

Statistical Mechanics · Physics 2025-05-14 Davi Arrais Nobre , Karen C. Abbott , Jonathan Machta , Alan Hastings

The evolution of entanglement in a one-dimensional Ising chain is numerically studied under various initial conditions. We analyze two problems concerning the dynamics of the entanglement: (i) generation of the entanglement from the…

Quantum Physics · Physics 2009-11-13 G. B. Furman , V. M. Meerovich , V. L. Sokolovsky

We show that tailoring the dissipative environment allows to change the features of continuous quantum phase transitions and, even, induce first order transitions in ferromagnetic spin chains. In particular, using a numerically exact…

Quantum Physics · Physics 2023-03-29 C. A. Perroni , A. De Candia , V. Cataudella , R. Fazio , G. De Filippis

Scanning probes reveal complex, inhomogeneous patterns on the surface of many condensed matter systems. In some cases, the patterns form self-similar, fractal geometric clusters. In this paper, we advance the theory of criticality as it…

Strongly Correlated Electrons · Physics 2021-11-11 Shuo Liu , E. W. Carlson , K. A. Dahmen

We investigate dissipative phase transitions in an open central spin system. In our model the central spin interacts coherently with the surrounding many-particle spin environment and is subject to coherent driving and dissipation. We…

A relation between a class of stationary points of the energy landscape of continuous spin models on a lattice and the configurations of a Ising model defined on the same lattice suggests an approximate expression for the microcanonical…

Statistical Mechanics · Physics 2011-03-22 Lapo Casetti , Cesare Nardini , Rachele Nerattini

Recent advances have shown that introducing dependency interactions between two superconducting networks can trigger abrupt, hysteretic normal-superconductor phase transitions. In this study, we demonstrate that such behavior can also arise…

We investigate the steady-state phase transitions in an all-to-all transverse-field Ising model subjected to an environment. The considered model is composed of two ingredient Hamiltonians. The orientation of the external field, which is…

Quantum Physics · Physics 2023-08-11 Linyu Song , Jiasen Jin

Three 2D spin models made of frustrated zig-zag chains with competing interactions which by exact summation with respect to some degrees of freedom can be replaced by an effective temperature-dependent interaction were considered. The first…

Statistical Mechanics · Physics 2024-03-28 Jozef Sznajd

The Ising model is well-known for illustrating the fundamental characteristics of phase transitions in closed systems. In this article, we propose a generalization of the two-dimensional Ising model to open systems, considering the…

Materials Science · Physics 2024-11-11 Andriy Gusak , Serhii Abakumov

We introduce a duality between two-dimensional XY-spin models with symmetry-breaking perturbations and certain four-dimensional SU(2)and SU(2)/Z_2 gauge theories, compactified on a small spatial circle R^(1,2) x S^1, and considered at…

High Energy Physics - Theory · Physics 2012-04-17 Mohamed M. Anber , Erich Poppitz , Mithat Unsal

We characterize the dynamic universality classes of a relaxational dynamics under equilibrium conditions at the continuous transitions of three-dimensional (3D) spin systems with a ${\mathbb Z}_2$-gauge symmetry. In particular, we consider…

Statistical Mechanics · Physics 2025-03-19 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

The criticality of the (2+1)-dimensional S=1 transverse-field Ising model is investigated with the numerical diagonalization method. The scaling behavior is improved by tuning the coupling-constant parameters; the S=1 spin model allows us…

Statistical Mechanics · Physics 2015-05-18 Yoshihiro Nishiyama

Ising models, and the physical systems described by them, play a central role in generating entangled states for use in quantum metrology and quantum information. In particular, ultracold atomic gases, trapped ion systems, and Rydberg atoms…

The Ising chain in a transverse field stands out as a paradigmatic example for a quantum phase transition. CoNb$_2$O$_6$ has been discussed as a material realization of this physics, but it was later realized that its magnetic exchange…

Strongly Correlated Electrons · Physics 2026-04-27 Tom Drechsler , Matthias Vojta

We analyze a generalization of the hard sphere dipole system in two dimensions in which the interaction range of the interaction can be varied. We focus on the system in the limit the interaction becomes increasingly short-ranged, while the…

Statistical Mechanics · Physics 2019-10-23 Nelia Mann

The Ising model in two dimensions with special toroidal boundary conditions is analyzed. These boundary condition, which we call duality twisted boundary conditions, may be interpreted as inserting a specific defect line ("seam") in the…

Statistical Mechanics · Physics 2017-12-27 Armen Poghosyan , Nickolay Izmailian , Ralph Kenna

The study of the Ising model from a percolation perspective has played a significant role in the modern theory of critical phenomena. We consider the celebrated square-lattice Ising model and construct percolation clusters by placing bonds,…

Statistical Mechanics · Physics 2025-09-30 Tao Chen , Jinhong Zhu , Wei Zhong , Sheng Fang , Youjin Deng

Rydberg chains provide an appealing platform for probing conformal field theories (CFTs) that capture universal behavior in a myriad of physical settings. Focusing on a Rydberg chain at the Ising transition separating charge density wave…

Strongly Correlated Electrons · Physics 2021-12-07 Kevin Slagle , David Aasen , Hannes Pichler , Roger S. K. Mong , Paul Fendley , Xie Chen , Manuel Endres , Jason Alicea