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Related papers: Confinement of many-body Bethe strings

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Exact solutions for quantum many-body systems are rare and provide valuable insight to universal phenomena. Here we show experimentally in anisotropic Heisenberg chains that special helical spin patterns can have very long lifetimes. This…

Using the asymptotic Bethe Ansatz, we study the stabilization problem of the one-dimensional spin-polarized Fermi gas confined in a hard-wall potential with tunable p-wave scattering length and finite effective range. We find that the…

Quantum Gases · Physics 2018-08-08 Lei Pan , Shu Chen , Xiaoling Cui

The excitation spectrum of the one-dimensional spin-orbital model in a magnetic field is studied, using a recently developed dynamical density matrix renormalization group technique. The method is employed on chains with up to 80 sites, and…

Strongly Correlated Electrons · Physics 2009-10-31 Weiqiang Yu , Stephan Haas

We theoretically study the quench dynamics for an isolated Heisenberg spin chain with a random on-site magnetic field, which is one of the paradigmatic models of a many-body localization transition. We use the time-dependent variational…

Disordered Systems and Neural Networks · Physics 2018-11-14 Elmer V. H. Doggen , Frank Schindler , Konstantin S. Tikhonov , Alexander D. Mirlin , Titus Neupert , Dmitry G. Polyakov , Igor V. Gornyi

String breaking is one of the most representative non-perturbative dynamics processes in confinement theory, typically associated with the creation of particle-antiparticle pairs. In this paper, we take a one-dimensional Rydberg atomic…

Using the asymptotic Bethe Ansatz, we obtain an exact solution of the many-body problem for 1D spin-polarized fermions with resonant p-wave interactions, taking into account the effects of both scattering volume and effective range. Under…

Quantum Gases · Physics 2014-11-20 Adilet Imambekov , Alexander A. Lukyanov , Leonid I. Glazman , Vladimir Gritsev

We present an explicit Bethe-ansatz wavefunction to a 1D spin-$\frac{1}{2}$ interacting fermion system, manifesting a many-body resonance resulting from the interplay between interaction and non-Hermitian spin-orbit coupling. In the dilute…

Strongly Correlated Electrons · Physics 2026-01-22 Yue Wang , Xiangyu Zhang , Zhesen Yang , Congjun Wu

The exactly solvable Lieb-Liniger model of interacting bosons in one-dimension has attracted renewed interest as current experiments with ultra-cold atoms begin to probe this regime. Here we numerically solve the equations arising from the…

Other Condensed Matter · Physics 2009-11-13 Andrew G. Sykes , Peter D. Drummond , Matthew J. Davis

We study one-dimensional spin-1/2 models in which strict confinement of Ising domain walls leads to the fragmentation of Hilbert space into exponentially many disconnected subspaces. Whereas most previous works emphasize dipole moment…

Strongly Correlated Electrons · Physics 2020-05-26 Zhi-Cheng Yang , Fangli Liu , Alexey V. Gorshkov , Thomas Iadecola

Confinement is a process by which particles with fractional quantum numbers bind together to form quasiparticles with integer quantum numbers. The constituent particles are confined by an attractive interaction whose strength increases with…

Confinement of fractionalized excitations can strongly restructure many-body spectra. We investigate this phenomenon in the gapped spin-$\frac{1}{2}$ XXZ chain subject to a staggered field, where spinons bind into domain-wall ``mesons''…

Strongly Correlated Electrons · Physics 2025-11-20 Julia Wildeboer , Marton Lajer , Robert M. Konik

It is generally accepted that doped Mott insulators can be well characterized by the t-J model. In the t-J model, the electron fractionalization is dictated by the phase string effect. We found that in the underdoped regime, the…

Strongly Correlated Electrons · Physics 2012-01-18 Peng Ye , Chu-Shun Tian , Xiao-Liang Qi , Zheng-Yu Weng

We present a large scale exact diagonalization study of the one dimensional spin $1/2$ Heisenberg model in a random magnetic field. In order to access properties at varying energy densities across the entire spectrum for system sizes up to…

Disordered Systems and Neural Networks · Physics 2015-03-05 David J. Luitz , Nicolas Laflorencie , Fabien Alet

Unconventional nonequilibrium phases with restricted correlation spreading and slow entanglement growth have been proposed to emerge in systems with confined excitations, calling their thermalization dynamics into question. Here, we show…

Statistical Mechanics · Physics 2024-10-25 Stefan Birnkammer , Alvise Bastianello , Michael Knap

We propose Bethe equations for the diagonalization of the Hamiltonian of quantum strings on AdS_5 x S^5 at large string tension and restricted to certain large charge states from a closed su(2) subsector. The ansatz differs from the…

High Energy Physics - Theory · Physics 2009-11-10 Gleb Arutyunov , Sergey Frolov , Matthias Staudacher

The fundamental excitations in an antiferromagnetic chain of spins-1/2 are spinons, de-confined fractional quasiparticles that when combined in pairs, form a triplet excitation continuum. In an Ising-like spin chain the continuum is gapped…

Strongly Correlated Electrons · Physics 2019-07-10 W. J. Gannon , I. A. Zaliznyak , L. S. Wu , A. E. Feiguin , A. M. Tsvelik , F. Demmel , Y. Qiu , J. R. D. Copley , M. S. Kim , M. C. Aronson

We analyse and numerically simulate the full many-body quantum dynamics of a spin-1 condensate in the single spatial mode approximation. Initially, the condensate is in a ``ferromagnetic'' state with all spins aligned along the $y$ axis and…

Other Condensed Matter · Physics 2009-11-11 L. I. Plimak , C. Weiß , R. Walser , W. P. Schleich

At large values of the anisotropy \Delta, the open-boundary Heisenberg spin-1/2 chain has eigenstates displaying localization at the edges. We present a Bethe ansatz description of this `edge-locking' phenomenon in the entire \Delta>1…

Strongly Correlated Electrons · Physics 2013-12-24 Vincenzo Alba , Kush Saha , Masudul Haque

We investigate Bethe Ansatz equations for the one-dimensional spin-$\frac{1}{2}$ Heisenberg XXX chain with a special interest in a finite system. Solutions for the two-particle sector are obtained. The ground state in antiferromagnetic case…

Condensed Matter · Physics 2007-05-23 Shao-shiung Lin , Shi-shyr Roan

A recently developed numerical method, entanglement perturbation theory (EPT), is used to study the antiferromagnetic Heisenberg spin chains with z-axis anisotropy $\lambda$ and magnetic field B. To demonstrate the accuracy, we first apply…

Strongly Correlated Electrons · Physics 2015-05-30 Lihua Wang , Sung Gong Chung