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This article reports a measurement of the low-energy excitation spectrum along the critical line for a quantum spin chain having a local interaction between three Ising spins and longitudinal and transverse magnetic fields. The measured…

统计力学 · 物理学 2013-05-29 John F. McCabe , Tomasz Wydro

We study the effect of bond dissipation on the one-dimensional antiferromagnetic spin-$1/2$ Heisenberg model. In analogy to the spin-Peierls problem, the dissipative bath is described by local harmonic oscillators that modulate the spin…

强关联电子 · 物理学 2023-10-19 Manuel Weber

We present extensive numerical simulations of a family of non-equilibrium Potts models with absorbing states that allows for a variety of scenarios, depending on the number of spin states and the range of the spin-spin interactions. These…

统计力学 · 物理学 2019-06-18 Ahmadreza Azizi , James Stidham , Michel Pleimling

We study the out-of-equilibrium spinodal-like dynamics of three-dimensional $q$-state Potts systems driven across their thermal first-order transition in the thermodynamic limit, by a relaxational (heat-bath) dynamics. During the evolution,…

统计力学 · 物理学 2026-03-17 Andrea Pelissetto , Davide Rossini , Ettore Vicari

This paper is concerned with networks of identical linear quantum stochastic systems which interact with each other and external bosonic fields in a translation invariant fashion. The systems are associated with sites of a multidimensional…

量子物理 · 物理学 2022-02-07 Igor G. Vladimirov , Ian R. Petersen

We consider the ferromagnetic q-state Potts model with zero external field in a finite volume evolving according to Glauber-type dynamics described by the Metropolis algorithm in the low temperature asymptotic limit. Our analysis concerns…

概率论 · 数学 2024-05-09 Gianmarco Bet , Anna Gallo , Francesca Romana Nardi

We study the critical behavior and the ground-state entanglement of a large class of $\mathrm{su}(1|1)$ supersymmetric spin chains with a general (not necessarily monotonic) dispersion relation. We show that this class includes several…

We establish an intriguing connection between geometry and thermodynamics in the critical q-state Potts model on two-dimensional lattices, using the q-state bond-correlated percolation model (QBCPM) representation. We find that the number…

统计力学 · 物理学 2009-10-31 Chin-Kun Hu , Jau-Ann Chen , N. Sh. Izmailian , P. Kleban

We prove that estimating the ground state energy of a translationally-invariant, nearest-neighbour Hamiltonian on a 1D spin chain is QMAEXP-complete, even for systems of low local dimension (roughly 40). This is an improvement over the best…

量子物理 · 物理学 2017-11-15 Johannes Bausch , Toby Cubitt , Maris Ozols

The stability of the magnetization $m=1/3$ plateau phase of the XXZ spin-1/2 Heisenberg chain with competing interactions is investigated upon switching on a staggered transverse magnetic field. Within a bosonization approach, it is shown…

强关联电子 · 物理学 2009-11-10 P. Lecheminant , E. Orignac

We study the q-state Potts model with nearest-neighbor coupling v=e^{\beta J}-1 in the limit q,v \to 0 with the ratio w = v/q held fixed. Combinatorially, this limit gives rise to the generating polynomial of spanning forests; physically,…

统计力学 · 物理学 2015-06-24 Jesper Lykke Jacobsen , Jesus Salas , Alan D. Sokal

Protected chiral edge modes are a well-known signature of topologically ordered phases like the Fractional Quantum Hall States. Recently, using the framework of projected entangled pair states (PEPS) on the square lattice, we constructed a…

强关联电子 · 物理学 2016-05-20 Didier Poilblanc , Norbert Schuch , Ian Affleck

We study the critical behavior of the q-state Potts model with random ferromagnetic couplings. Working with the cluster representation the partition sum of the model in the large-q limit is dominated by a single graph, the fractal…

无序系统与神经网络 · 物理学 2009-11-07 Robert Juhasz , Heiko Rieger , Ferenc Igloi

We focus our attention on dynamical processes characterized by an entropic index Q<1. According to the probabilistic arguments of Tsallis and Bukman [C.Tsallis, D.J. Bukman, Phys. Rev. E 54,R2197 (1996)] these processes are subdiffusional…

统计力学 · 物理学 2015-06-25 Leone Fronzoni , Paolo Grigolini , Simone Montangero

We study the infinite-temperature properties of an infinite sequence of random quantum spin chains using a real-space renormalization group approach, and demonstrate that they exhibit non-ergodic behavior at strong disorder. The analysis is…

无序系统与神经网络 · 物理学 2015-05-28 Romain Vasseur , Andrew C. Potter , S. A. Parameswaran

This work concerns the boundary integrability of the ${\cal{U}}_{q}[osp(1|2)]$ Temperley-Lieb model. We constructed the solutions of the graded reflection equations in order to determine the boundary terms of the correspondig spin-1…

可精确求解与可积系统 · 物理学 2016-11-23 A. Lima-Santos

The physics of interacting integer-spin chains has been a topic of intense theoretical interest, particularly in the context of symmetry-protected topological phases. However, there has not been a controllable model system to study this…

量子物理 · 物理学 2015-06-24 C. Senko , P. Richerme , J. Smith , A. Lee , I. Cohen , A. Retzker , C. Monroe

We study the ground-state properties of a spin-1/2 model on a chain containing four-spin Ising-like interactions in the presence of both transverse and longitudinal magnetic fields. We use entanglement entropy and finite-size scaling…

统计力学 · 物理学 2015-06-22 B. Boechat , J. Florencio , A. Saguia , O. F. de Alcantara Bonfim

We use QMC simulations to study effects of disorder on the $S=1/2$ Heisenberg model with exchange constant $J$ on the square lattice supplemented by multispin interactions $Q$. It was found recently [L. Lu et al., Phys. Rev. X 8, 041040…

强关联电子 · 物理学 2020-09-09 Lu Liu , Wenan Guo , Anders W. Sandvik

In this paper, we consider the parameterization of the spectra of the three-state critical Potts quantum chain with integrable twisted boundary conditions in terms of Bethe ansatz type equations. The Bethe equations are found by…

数学物理 · 物理学 2026-02-23 M. J. Martins