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In this work, we investigate many-body phase transitions in a one-dimensional anisotropic XY model subject to a complex-valued transverse field. Within the biorthogonal framework, we calculate the ground-state correlation functions and…

Quantum Physics · Physics 2026-04-29 Fei Wang , Guoying Liang , Zecheng Zhao , Lin-Yue Luo , Da-Jian Zhang , Bao-Ming Xu

In this manuscript, we study the non-Hermitian spin-1/2 XY model in the presence of the alternating, imaginary and transverse magnetic fields. For the two-site spin system, we solve exactly the energy spectrum and phase diagram, also…

Statistical Mechanics · Physics 2023-04-21 Yue Li , Pan-Pan Zhang , Li-Zhen Hu , Yu-Liang Xu , Xiang-Mu Kong

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

In this paper the entanglement and quantum phase transition of the anisotropic s=1/2 XY model are studied by using the quantum renormalization group method. By solving the renormalization equations, we get the trivial fixed point and the…

Statistical Mechanics · Physics 2015-05-28 Fu-Wu Ma , Sheng-Xin Liu , Xiang-Mu Kong

The characterization of an infinite-order quantum phase transition (QPT) by entanglement measures is analyzed. To this aim, we consider two closely related solvable spin-1/2 chains, namely, the Ashkin-Teller and the staggered XXZ models.…

Quantum Physics · Physics 2015-03-13 C. C. Rulli , M. S. Sarandy

We propose two machine-learning methods based on neural networks, which we respectively call the phase-classification method and the temperature-identification method, for detecting different types of phase transitions in the XXZ models…

Statistical Mechanics · Physics 2023-04-19 Yusuke Miyajima , Masahito Mochizuki

In tensor network representation, the partition function of a generalized two-dimensional XY spin model with topological integer and half-integer vortex excitations is mapped to a tensor product of one-dimensional quantum transfer operator,…

Strongly Correlated Electrons · Physics 2021-01-27 Feng-Feng Song , Guang-Ming Zhang

We study the quantum entanglement and quantum phase transition (QPT) of the anisotropic spin-1/2 XY model with staggered Dzyaloshinskii-Moriya (DM) interaction by means of quantum renormalization group method. The scaling of coupling…

Statistical Mechanics · Physics 2015-05-28 Fu-Wu Ma , Xiang-Mu Kong

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

In this work we study non-Hermitian extensions of the paradigmatic spin-1/2 XY chain in a magnetic field. Using the mapping of the model to free fermion form, we provide analytical insights into the energy spectrum of the non-Hermitian…

Quantum Physics · Physics 2025-07-15 D. C. Liu , Murray T. Batchelor

Quantum phase transitions are usually studied in terms of Hermitian Hamiltonians. However, cold-atom experiments are intrinsically non-Hermitian due to spontaneous decay. Here, we show that non-Hermitian systems exhibit quantum phase…

Quantum Gases · Physics 2014-10-08 Tony E. Lee , Ching-Kit Chan

Theoretical analysis of a prototypical two-qubit effective non-Hermitian system characterized by asymmetric Heisenberg $XY$ interactions in the absence of external magnetic fields demonstrates that maximal bipartite entanglement and quantum…

Quantum Physics · Physics 2026-04-09 Bikashkali Midya

We explore quantum and classical correlations along with coherence in the ground states of spin-1 Heisenberg chains, namely the one-dimensional XXZ model and the one-dimensional bilinear biquadratic model, with the techniques of density…

Quantum Physics · Physics 2016-05-31 A. L. Malvezzi , G. Karpat , B. Çakmak , F. F. Fanchini , T. Debarba , R. O. Vianna

The dynamics of entanglement in the one-dimensional spin-1/2 anisotropic XXZ model is studied using the quantum renormalization-group method. We obtain the analytical expression of the concurrence, for two different quenching methods, it is…

Statistical Mechanics · Physics 2020-04-09 Han Zhang , Yu-Liang Xu , Rong-Tao Zhang , Zhe Wang , Pan-Pan Fang , Zhong-Qiang Liu , Xiang-Mu Kong

We investigate thermal and nonthermal quantum correlations in the one dimensional spin 1 bilinear-biquadratic Heisenberg model. Using tools from quantum information theory such as generalized concurrence, negativity, and various measures of…

Quantum Physics · Physics 2024-12-31 Ghader Najarbashi , Hassan Bahmani , Babak Tarighi

We study an entanglement phase transition in a class of chaotic non-Hermitian spin chains whose spin-spin coupling terms commute with the non-Hermitian contributions. Two representative models are investigated: the transverse-field Ising…

Quantum Physics · Physics 2026-04-30 Zhen-Tao Zhang , Feng Mei

Entanglement and violation of Bell inequalities are aspects of quantum nonlocality that have been often confused in the past. It is now known that this equivalence is only true for pure states. Even though almost all the studies of quantum…

Quantum Physics · Physics 2012-06-01 L. Justino , Thiago R. de Oliveira

We study many-body phase transitions in a one-dimensional ferromagnetic transversed field Ising model with an imaginary field and show that the system exhibits three phase transitions: one second-order phase transition and two…

Strongly Correlated Electrons · Physics 2024-08-12 Chao-Ze Lu , Xiaolong Deng , Su-Peng Kou , Gaoyong Sun

In this work, we investigate the quantum phase transition in a non-Hermitian XY spin chain. The phase diagram shows that the critical points of Ising phase transition expand into a critical transition zone after introducing a non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Yu-Guo Liu , Lu Xu , Zhi Li

We have investigated the quantum phase transitions in the ground states of several critical systems, including transverse field Ising and XY models as well as XY with multiple spin interactions, XXZ and the collective system…

Quantum Physics · Physics 2012-11-08 Ferdi Altintas , Resul Eryigit
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