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When the quantum critical transverse-field Ising chain is perturbed by a longitudinal field, a quantum integrable model emerges in the scaling limit with massive excitations described by the exceptional $E_{8}$ Lie algebra. Using the…

Strongly Correlated Electrons · Physics 2021-06-14 Xiao Wang , Haiyuan Zou , Kristóf Hódsági , Márton Kormos , Gábor Takács , Jianda Wu

The Ising$_h^2$ integrable field theory emerges when two quantum critical Ising chains are weakly coupled. This theory possesses eight types of relativistic particles, among which the lightest one ($B_1$) has been predicted to be a dark…

Strongly Correlated Electrons · Physics 2025-06-09 Yunjing Gao , Jiahao Yang , Huihang Lin , Rong Yu , Jianda Wu

We compute numerically the second and third order nonlinear magnetic susceptibilities of an Ising ladder model in the context of two-dimensional coherent spectroscopy by using the infinite time-evolving block decimation method. The Ising…

Strongly Correlated Electrons · Physics 2023-04-26 Qi Gao , Yang Liu , Haijun Liao , Yuan Wan

Near the transverse-field induced quantum critical point of the Ising chain, an exotic dynamic spectrum consisting of exactly eight particles was predicted, which is uniquely described by an emergent quantum integrable field theory with the…

Close to the quantum critical point of the transverse-field Ising spin-chain model, an exotic dynamic spectrum was predicted to emerge upon a perturbative longitudinal field. The dynamic spectrum consists of eight particles and is governed…

Strongly Correlated Electrons · Physics 2020-09-25 Kirill Amelin , Johannes Engelmayer , Johan Viirok , Urmas Nagel , Toomas Rõõm , Thomas Lorenz , Zhe Wang

The statistical mechanics of particles with shapes on a one-dimensional lattice is investigated in the context of the $s=1$ Ising chain with uniform nearest-neighbor coupling, quadratic single-site potential, and magnetic field, which…

Statistical Mechanics · Physics 2012-03-14 Dan Liu , Ping Lu , Gerhard Muller , Michael Karbach

The recent WMAP data have confirmed that exotic dark matter together with the vacuum energy (cosmological constant) dominate in the flat Universe. The nature of the dark matter constituents cannot be determined till they are directly…

High Energy Physics - Phenomenology · Physics 2010-01-21 J. D. Vergados

Quantum dynamics of strongly correlated systems is a challenging problem. Although the low energy fractional excitations of one dimensional integrable models are often well-understood, exploring quantum dynamics in these systems remains…

Strongly Correlated Electrons · Physics 2019-11-13 Wang Yang , Jianda Wu , Shenglong Xu , Zhe Wang , Congjun Wu

A new spinning particle with a definite sign of the energy is defined on spacelike hypersurfaces after a critical discussion of the standard spinning particles. They are the pseudoclassical basis of the positive energy $({1\over 2},0)$ [or…

High Energy Physics - Theory · Physics 2009-10-31 F. Bigazzi , L. Lusanna

Weakly coupled Ising chains provide a condensed-matter realization of confinement. In these systems, kinks and antikinks bind into mesons due to an attractive interaction potential that increases linearly with the distance between the…

Statistical Mechanics · Physics 2020-07-20 Flavia B. Ramos , Mate Lencses , J. C. Xavier , Rodrigo G. Pereira

A large (infinitely-dimensional) class of completely integrable (possibly non-autonomous) spin chains is discovered associated to an infinite-dimensional Lie Algebra of infinite rank. The complete set of integrals of motion is constructed…

solv-int · Physics 2009-10-30 Tomaz Prosen

We introduce varying spin strengths to the Ising model, a central pillar of statistical physics. With inhomogeneous physical systems in mind, but also anticipating interdisciplinary applications, we present the model on network structures…

Statistical Mechanics · Physics 2020-10-27 Mariana Krasnytska , Bertrand Berche , Yurij Holovatch , Ralph Kenna

Many-body systems with multiple emergent time scales arise in various contexts, including classical critical systems, correlated quantum materials, and ultra-cold atoms. We investigate such non-trivial quantum dynamics in a new setting: a…

Strongly Correlated Electrons · Physics 2017-11-15 Xiao Chen , Eduardo Fradkin , William Witczak-Krempa

We investigate dynamical properties of $S=1/2$ two-leg spin ladder systems. In a strong coupling region, an isolated mode appears in the lowest excited states, while in a weak coupling region, an isolated mode is reduced and the lowest…

Soft Condensed Matter · Physics 2009-11-07 Nobuyasu Haga , Sei-ichiro Suga

We consider in parallel three one-dimensional spin models with kinetic constraints: the paramagnetic constrained Ising chain, the ferromagnetic Ising chain with constrained Glauber dynamics, and the same chain with constrained Kawasaki…

Statistical Mechanics · Physics 2009-11-07 G. De Smedt , C. Godreche , J. M. Luck

The Heisenberg-Ising spin ladder is one of the few short-range models showing confinement of elementary excitations without the need of an external field, neither transverse nor longitudinal. This feature makes the model suitable for an…

Statistical Mechanics · Physics 2021-09-30 Gianluca Lagnese , Federica Maria Surace , Márton Kormos , Pasquale Calabrese

We employ a classical limit grounded in SU(4) coherent states to investigate the temperature-dependent dynamical spin structure factor of the $S = 1/2$ ladder consisting of weakly coupled dimers. By comparing the outcomes of this classical…

Strongly Correlated Electrons · Physics 2024-12-25 David A. Dahlbom , Jinu Thomas , Steven Johnston , Kipton Barros , Cristian D. Batista

A variational approach for constructing an effective particle description of the low-energy physics of one-dimensional quantum spin chains is presented. Based on the matrix product state formalism, we compute the one- and two-particle…

Strongly Correlated Electrons · Physics 2015-10-09 Laurens Vanderstraeten , Frank Verstraete , Jutho Haegeman

We explore the spin dynamics emerging from the N\'eel phase of the chain compound antiferromagnet BaCo2V2O8. Our inelastic neutron scattering study reveals unconventional discrete spin excitations, so called Zeeman ladders, understood in…

Strongly Correlated Electrons · Physics 2015-09-14 B. Grenier , S. Petit , V. Simonet , L. -P. Regnault , E. Canévet , S. Raymond , B. Canals , C. Berthier , P. Lejay

A remarkably long-lived spin plasmon may exist in two-dimensional electron liquids with imbalanced spin up and spin down population. Predictions for this interesting mode by Agarwal et al. [Phys. Rev. B 90, 155409 (2014)] are based on the…

Mesoscale and Nanoscale Physics · Physics 2016-03-09 Dominik Kreil , Raphael Hobbiger , Jürgen T. Drachta , Helga M. Böhm
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