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The bulk properties and impurity effect in the one-dimensional S=1/2 Heisenberg model with dimerization and next-nearest-neighbor exchange are studied by the density matrix renormalization group (DMRG) and exact diagonalization methods.…

Strongly Correlated Electrons · Physics 2009-10-31 Shinji Watanabe , Hisatoshi Yokoyama

We revisit the so-called folded XXZ model, which was treated earlier by two independent research groups. We argue that this spin-1/2 chain is one of the simplest quantum integrable models, yet it has quite remarkable physical properties.…

Statistical Mechanics · Physics 2021-10-13 Balázs Pozsgay , Tamás Gombor , Arthur Hutsalyuk , Yunfeng Jiang , Levente Pristyák , Eric Vernier

We investigate phase transitions in the nonequilibrium dynamics of power-law interacting spin-1/2 bilayer XXZ models, which have recently been shown to allow generation of entanglement in the form of two-mode squeezing. We find a transition…

Quantum Physics · Physics 2025-12-11 Arman Duha , S. E. Begg , Thomas Bilitewski

We use an alternative method to investigate the quantum criticality at zero and finite temperature using trace distance along with the density matrix renormalization group. It is shown that the average correlation measured by the trace…

Quantum Physics · Physics 2016-09-08 Da-Wei Luo , Jing-Bo Xu

The classical Heisenberg model in two spatial dimensions constitutes one of the most paradigmatic spin models, taking an important role in statistical and condensed matter physics to understand magnetism. Still, despite its paradigmatic…

Statistical Mechanics · Physics 2021-12-01 Philipp Schmoll , Augustine Kshetrimayum , Jens Eisert , Roman Orus , Matteo Rizzi

We use the multiscale entanglement renormalisation ansatz (MERA) to numerically investigate three critical quantum spin chains with Z_2 x Z_2 on-site symmetry: a staggered XXZ model, a transverse field cluster model, and the quantum…

Strongly Correlated Electrons · Physics 2015-04-28 Jacob C. Bridgeman , Aroon O'Brien , Stephen D. Bartlett , Andrew C. Doherty

The ground state of a spin-1/2 Heisenberg chain with both frustration and long-range interactions is studied using Lanczos exact diagonalization. The evolution of the well known dimerization transition of the system with short-range…

Strongly Correlated Electrons · Physics 2010-05-04 Anders W. Sandvik

Quantum phase transition in dimerized antiferromagnetic Heisenberg spin chain has been studied. A staircase structure in the variation of concurrence within strongly coupled pairs with that of external magnetic field has been observed…

Quantum Physics · Physics 2015-03-31 Aparajita Das , Sreeparna Bhadra , Sonali Saha

Quantum correlation of bipartite states (beyond entanglement) in presence of environment is studied for Heisenberg XYZ spin system. It is shown that if the system is allowed to exchange energy with environment, the initial state evolves and…

Quantum Physics · Physics 2020-03-24 Indrajith. V. S , R. Sankaranarayanan

The one-dimensional spin-1/2 $XXZ$ model in a mixed transverse and longitudinal magnetic field is studied. Using the specially developed version of the mean-field approximation the order-disorder transition induced by the magnetic field is…

Strongly Correlated Electrons · Physics 2009-11-10 D. V. Dmitriev , V. Ya. Krivnov

Berry phases and the quantum-information theoretic notion of fidelity have been recently used to analyze quantum phase transitions from a geometrical perspective. In this paper we unify these two approaches showing that the underlying…

Quantum Physics · Physics 2007-12-10 Lorenzo Campos Venuti , Paolo Zanardi

We present a comprehensive analysis of the emerging order and chaos and enduring symmetries, accompanying a generic (high-barrier) first-order quantum phase transition (QPT). The interacting boson model Hamiltonian employed, describes a QPT…

Nuclear Theory · Physics 2014-10-01 M. Macek , A. Leviatan

We investigate entanglement and quantum phase transition (QPT) in a two-dimensional Heisenberg anisotropic spin-1/2 XY model, using quantum renormalization group method (QRG) on a square lattice of $N\times N$ sites. The entanglement…

Quantum Physics · Physics 2017-08-16 M. Usman , Asif Ilyas , Khalid Khan

We investigate spin correlations in one-dimensional $SU(2)$-invariant Heisenberg chains with exchange disorder for spin lengths $S=1/2$ and $S=1$. In the weak-disorder regime, the eigenmodes of the spin-spin correlation matrix are…

Disordered Systems and Neural Networks · Physics 2025-08-04 Debasmita Giri , Julian Siegl , John Schliemann

We consider an interaction quench in the critical spin-1/2 Heisenberg XXZ chain. We numerically compute the time evolution of the two-point correlation functions of spin operators in the thermodynamic limit and compare the results to…

Statistical Mechanics · Physics 2015-09-23 Mario Collura , Pasquale Calabrese , Fabian H. L. Essler

Various thermal correlations as well as the effect of intrinsic decoherence on the correlations are studied in a two-qubit Heisenberg XYZ spin chain with the Dzyaloshinski--Moriya (DM) interaction along the z direction, i.e. Dz. It is found…

Quantum Physics · Physics 2013-04-02 Mamtimin Tursun , Ahmad Abliz , Rabigul Mamtimin , Ablimt Abliz , Pan Pan-Qiao

Correlation is a fundamental statistical measure of order in interacting quantum systems. In solids, electron correlations govern a diverse array of material classes and phenomena such as heavy fermion compounds, Hunds metals, high-Tc…

Mesoscale and Nanoscale Physics · Physics 2017-01-13 Matthias Muenks , Peter Jacobson , Markus Ternes , Klaus Kern

We demonstrate quantum critical scaling for an $S=1/2$ Heisenberg antiferromagnetic chain compound CuPzN in a magnetic field around saturation, by analysing previously reported magnetization [Y. Kono {\it et al.}, Phys. Rev. Lett. {\bf…

Strongly Correlated Electrons · Physics 2015-11-16 M. Jeong , H. M. Rønnow

We propose a hybrid quantum-classical eigensolver to address the computational challenges of simulating strongly correlated quantum many-body systems, where the exponential growth of the Hilbert space and extensive entanglement render…

Quantum Physics · Physics 2025-10-23 Lei Xu , Ling Wang

The correlated fermionic many-particle system, near infinite scattering length, reveals an underlying Heisenberg symmetry in one dimension, as compared to an $SO(2,1)$ symmetry in two dimensions. This facilitates an exact map from the…