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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…

量子物理 · 物理学 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…

量子物理 · 物理学 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…

量子物理 · 物理学 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…

强关联电子 · 物理学 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…

量子物理 · 物理学 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…

量子物理 · 物理学 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.

量子物理 · 物理学 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…

强关联电子 · 物理学 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…

量子物理 · 物理学 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…

统计力学 · 物理学 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,…

量子物理 · 物理学 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…

量子物理 · 物理学 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…

强关联电子 · 物理学 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…

统计力学 · 物理学 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…

强关联电子 · 物理学 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…

统计力学 · 物理学 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…

量子物理 · 物理学 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…

统计力学 · 物理学 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…

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…

量子物理 · 物理学 2007-05-23 John K. Stockton , JM Geremia , Andrew C. Doherty , Hideo Mabuchi
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