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Phase transition in quantum many-body systems inevitably causes changes in certain physical properties which then serve as potential indicators of critical phenomena. Besides the traditional order parameters, characterization of quantum…

Quantum Physics · Physics 2017-08-23 Sudipto Singha Roy , Himadri Shekhar Dhar , Debraj Rakshit , Aditi Sen De , Ujjwal Sen

We investigate entanglement properties of infinite 1D and 2D spin-1/2 quantum Ising and XXZ models. Tensor network methods (MPS in 1D and TERG and CTMRG in 2D) are used to model the ground state of the studied models. Different entanglement…

Quantum Physics · Physics 2016-07-27 B. Braiorr-Orrs , M. Weyrauch , M. V. Rakov

In this study, we explore the ground state phase diagram of the spin-1/2 XX chain model, which features $XZY-YZX$ type three-spin interactions (TSI). This model, while seemingly simple, reveals a rich tapestry of quantum behaviors. Our…

Quantum Physics · Physics 2024-01-24 S. Mahdavifar , F. Khastehdel Fumani , B. Haghdoost , M. R. Soltani

The different quantum phases appearing in strongly correlated systems as well as their transitions are closely related to the entanglement shared between their constituents. In 1D systems, it is well established that the entanglement…

Strongly Correlated Electrons · Physics 2015-02-04 M. Moreno-Cardoner , S. Paganelli , G. De Chiara , A. Sanpera

Due to the phase interference of electromagnetic wave, one can recover the total image of one object from a small piece of holograph, which records the interference pattern of two laser light reflected from it. Similarly, the quantum…

Quantum Physics · Physics 2014-11-18 Shi-Jian Gu , Guang-Shan Tian , Hai-Qing Lin

We employ a genuine multipartite entanglement measure, the generalized geometric measure, for investigating the quantum phase transition in an infinite quantum spin-1/2 chain with two-spin as well as three-spin interactions. We show that in…

Quantum Physics · Physics 2012-09-10 Manabendra N. Bera , R. Prabhu , Aditi Sen De , Ujjwal Sen

We examine several well known quantum spin models and categorize behavior of pairwise entanglement at quantum phase transitions. A unified picture on the connection between the entanglement and quantum phase transition is given.

Quantum Physics · Physics 2009-11-11 Shi-Jian Gu , Guang-Shan Tian , Hai-Qing Lin

The phase diagram of spins 1/2 embedded in a magnetic field mutually interacting antiferromagnetically is determined. Contrary to the ferromagnetic case where a second order quantum phase transition occurs, a first order transition is…

Strongly Correlated Electrons · Physics 2007-05-23 J. Vidal , R. Mosseri , J. Dukelsky

The evolution of $N$ spin-$1/2$ system with all-range Ising-type interaction is considered. For this system we study the entanglement of one spin with the rest spins. It is shown that the entanglement depends on the amount of spins and the…

Quantum Physics · Physics 2018-04-18 A. R. Kuzmak

The ground state, magnetization scenario and the local bipartite quantum entanglement of a mixed spin-$1/2$ Ising--Heisenberg model in a magnetic field on planar lattices formed by identical corner-sharing bipyramidal plaquettes is examined…

Statistical Mechanics · Physics 2021-12-15 Lucia Gálisová , Michał Kaczor

A model of evolution of bipartite quantum state entanglement is studied. It involves recently introduced quantum block spin-flip dynamics on a lattice. We find that for initially separable states the considered evolution leads, in general,…

Quantum Physics · Physics 2016-09-08 S. Koziel , W. A. Majewski

Entanglement of the ground states in $XXZ$ and dimerized Heisenberg spin chains as well as in a two-leg spin ladder is analyzed by using the spin-spin concurrence and the entanglement entropy between a selected sublattice of spins and the…

Quantum Physics · Physics 2015-06-26 Yan Chen , Paolo Zanardi , Z. D. Wang , F. C. Zhang

A systematic analysis is performed for quantum phase transitions in a two-dimensional anisotropic spin 1/2 anti-ferromagnetic XYX model in an external magnetic field. With the help of an innovative tensor network algorithm, we compute the…

Strongly Correlated Electrons · Physics 2009-06-09 Bo Li , Sheng-Hao Li , Huan-Qiang Zhou

We study a bipartite collective spin-$1$ model with exchange interaction between the spins. The bipartite nature of the model manifests itself by the spins being divided into two equal-sized subsystems; within each subsystem the spin-spin…

Statistical Mechanics · Physics 2021-07-07 Dávid Jakab , Zoltán Zimborás

Within the framework of imaginary-time evolution for matrix product states, we introduce a cluster version of the infinite time-evolving block decimation algorithm for simulating quantum many-body systems, addressing the computational…

Strongly Correlated Electrons · Physics 2025-09-01 Tao Yang , Rui Wang , Z. Y. Xie , Baigeng Wang

The one dimensional spin system consisted of triangular $S=1/2$ $XXZ$ Heisenberg clusters alternating with single Ising spins is considered. Partition function of the system is calculated exactly within the transfer--matrix formalism. T=0…

Statistical Mechanics · Physics 2010-02-14 Vadim Ohanyan

A probability density characterization of multipartite entanglement is tested on the one-dimensional quantum Ising model in a transverse field. The average and second moment of the probability distribution are numerically shown to be good…

Quantum Physics · Physics 2009-11-13 G. Costantini , P. Facchi , G. Florio , S. Pascazio

The phase diagram of a coupled tetrahedral Heisenberg model is obtained. The quantum chain has a local gauge symmetry and its eigenspectrum is obtained by the composition of the eigenspectra of spin-1/2 XXZ chains with arbitrary…

Statistical Mechanics · Physics 2009-11-10 Onofre Rojas , F. C. Alcaraz

We provide insight in the quantum correlations structure present in strongly correlated systems beyond the standard framework of bipartite entanglement. To this aim we first exploit rotationally invariant states as a test bed to detect…

Quantum Physics · Physics 2014-03-27 Julia Stasińska , Benjamin Rogers , Mauro Paternostro , Gabriele De Chiara , Anna Sanpera

Analyzing the properties of entanglement in many-particle spin-1/2 systems is generally difficult because the system's Hilbert space grows exponentially with the number of constituent particles, $N$. Fortunately, it is still possible to…

Quantum Physics · Physics 2007-05-23 John K. Stockton , JM Geremia , Andrew C. Doherty , Hideo Mabuchi
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