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Related papers: Confinement of many-body Bethe strings

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We study the thermodynamic behaviour of Inozemtsev's long-range elliptic spin chain using the Bethe ansatz equations describing the spectrum of the model in the infinite-length limit. We classify all solutions of these equations in that…

Mathematical Physics · Physics 2016-04-12 Rob Klabbers

We consider non-equilibrium dynamics after quantum quenches in the mixed-field three-state Potts quantum chain in the ferromagnetic regime. Compared to the analogous setting for the Ising spin chain, the Potts model has a much richer…

Statistical Mechanics · Physics 2025-03-05 Octavio Pomponio , Anna Krasznai , Gábor Takács

Motivated by recent advancements in theoretical and experimental studies of the high-energy excitations on an antiferromagnetic trimer chain, we numerically investigate the quantum phase transition and composite dynamics in this system by…

Strongly Correlated Electrons · Physics 2024-12-03 Jun-Qing Cheng , Zhi-Yao Ning , Han-Qing Wu , Dao-Xin Yao

Can localization persist when interaction grows infinitely stronger than randomness? If so, is it many-body Anderson localization? How about the associated localization transition in the infinite-interaction limit? To tackle these…

Disordered Systems and Neural Networks · Physics 2022-12-06 Chun Chen , Yan Chen , Xiaoqun Wang

We investigate the thermodynamic properties of the Hubbard model on the Bethe lattice with a coordination number of 3 using the thermal canonical tree tensor network method. Our findings reveal two distinct thermodynamic phases: a…

Strongly Correlated Electrons · Physics 2025-12-05 Jia-Lin Chen , Zhen Fan , Bo Zhan , Jiahang Hu , Tong Liu , Junyi Ji , Kang Wang , Hai-Jun Liao , Tao Xiang

In the ferromagnetic phase of the q-state Potts model, switching on an external magnetic field induces confinement of the domain wall excitations. For the Ising model (q = 2) the spectrum consists of kink-antikink states which are the…

High Energy Physics - Theory · Physics 2015-10-09 M. Lencses , G. Takacs

Understanding how closed quantum systems dynamically approach thermal equilibrium presents a major unresolved problem in statistical physics. Generically, non-integrable quantum systems are expected to thermalize as they comply with the…

We investigate special solutions to the Bethe Ansatz equations (BAE) for open integrable $XXZ$ Heisenberg spin chains containing phantom (infinite) Bethe roots. The phantom Bethe roots do not contribute to the energy of the Bethe state, so…

Statistical Mechanics · Physics 2021-03-24 Xin Zhang , Andreas Klümper , Vladislav Popkov

Interacting one-dimensional quantum systems play a pivotal role in physics. Exact solutions can be obtained for the homogeneous case using the Bethe ansatz and bosonisation techniques. However, these approaches are not applicable when…

Quantum Physics · Physics 2016-07-12 M. E. S. Andersen , A. S. Dehkharghani , A. G. Volosniev , E. J. Lindgren , N. T. Zinner

We consider a quantum many-body system made of $N$ interacting $S{=}1/2$ spins on a lattice, and develop a formalism which allows to extract, out of conventional magnetic observables, the quantum probabilities for any selected spin pair to…

Statistical Mechanics · Physics 2007-05-23 Andrea Fubini , Tommaso Roscilde , Valerio Tognetti , Matteo Tusa , Paola Verrucchi

We carried out inelastic neutron scattering experiments on a buckled honeycomb lattice antiferromagnet Ba$_{2}$NiTeO$_{6}$ exhibiting a stripe structure at a low temperature. Magnetic excitations are observed in the energy range of $\hbar…

Strongly Correlated Electrons · Physics 2017-10-11 Shinichiro Asai , Minoru Soda , Kazuhiro Kasatani , Toshio Ono , V. Ovidiu Garlea , Barry Winn , Takatsugu Masuda

Although the search for quantum many-body phenomena in magnetic materials has a strong focus on highly frustrated systems, even unfrustrated quantum magnets show a multitude of unconventional phenomena in their spin excitation spectra.…

The interplay among anisotropic magnetic terms, such as the bond-dependent Kitaev interactions and single-ion anisotropy, plays a key role in stabilizing the finite-temperature ferromagnetism in the two-dimensional compound $\rm{CrSiTe_3}$.…

Strongly Correlated Electrons · Physics 2022-01-05 Zongsheng Zhou , Ken Chen , Qiang Luo , Hong-Gang Luo , Jize Zhao

We give an explicit proof within the framework of the Bethe Ansatz/string hypothesis of the factorization of multiparticle scattering in the antiferromagnetic spin-1/2 Heisenberg spin chain, for the case of 3 particles.

High Energy Physics - Theory · Physics 2009-10-30 Anastasia Doikou , Luca Mezincescu , Rafael I. Nepomechie

Eigenstates of Bose particles with repulsive contact interactions in one-dimensional space with periodic boundary conditions can be found with the help of the Bethe ansatz. The type~II excitation spectrum identified by E. H. Lieb,…

Quantum Gases · Physics 2016-09-09 Andrzej Syrwid , Mirosław Brewczyk , Mariusz Gajda , Krzysztof Sacha

Motivated by recent experimental progress in the quasi-one-dimensional quantum magnet NiNb$_2$O$_6$, we study the spin dynamics of an S=1 ferromagnetic Heisenberg chain with single-ion anisotropy by using a semiclassical molecular dynamics…

Strongly Correlated Electrons · Physics 2024-08-01 Chengchen Li , Yi Cui , Weiqiang Yu , Rong Yu

We study the spectrum and the nature of the excitations of an antiferromagnetic (AFM) Heisenberg chain with staggered long range interactions, both numerically using the time-dependent density matrix renormalization group (tDMRG) method and…

Strongly Correlated Electrons · Physics 2021-01-15 Luhang Yang , Adrian E. Feiguin

We investigate the equilibration dynamics of string order in one-dimensional quantum systems. After initializing a spin-1 chain in the Haldane phase, the time evolution of non-local correlations following a sudden quench is studied by means…

Statistical Mechanics · Physics 2014-07-15 Leonardo Mazza , Davide Rossini , Manuel Endres , Rosario Fazio

The low temperature thermodynamics of one-dimensional strongly repulsive SU(3) fermions in the presence of a magnetic field is investigated via the Yang-Yang thermodynamic Bethe ansatz method. The analytical free energy and magnetic…

Quantum Gases · Physics 2011-10-14 Peng He , Jen Yee Lee , Xiwen Guan , Murray T. Batchelor , Yupeng Wang

We explore several classes of quadrupolar ordering in a system of antiferromagnetically coupled quantum spin-1 dimers, which are stacked in the triangular lattice geometry forming a bilayer. Low-energy properties of this model is described…

Strongly Correlated Electrons · Physics 2020-04-22 Katsuhiro Tanaka , Chisa Hotta