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The quantum phase transitions provide a paradigm for studying collective quantum phenomena that are a result of competing non-commuting interactions. This paper will study the ground state properties and quantum critical dynamics of the…

Quantum Physics · Physics 2026-01-27 Rudraksh Sharma

Neural network quantum states provide a novel representation of the many-body states of interacting quantum systems and open up a promising route to solve frustrated quantum spin models that evade other numerical approaches. Yet its…

Strongly Correlated Electrons · Physics 2022-01-19 Eric Zou , Erik Long , Erhai Zhao

Geometric entanglement(GE), as a measure of multipartite entanglement, has been investigated as a universal tool to detect phase transitions in quantum many-body lattice models. We outline a systematic method to compute GE for…

Strongly Correlated Electrons · Physics 2019-09-06 Qian-Qian Shi , Hong-Lei Wang , Sheng-Hao Li , Sam Young Cho , Murray T. Batchelor , Huan-Qiang Zhou

Motivated by the recent experiment on a rare-earth material YbMgGaO$_4$ [Y. Li \textit{et al.}, Phys. Rev. Lett. \textbf{115}, 167203 (2015)], which found that the ground state of YbMgGaO$_4$ is a quantum spin liquid, we study the…

Strongly Correlated Electrons · Physics 2017-04-26 Qiang Luo , Shijie Hu , Bin Xi , Jize Zhao , Xiaoqun Wang

We study one- and two-dimensional models which undergo a transition between active and absorbing phases. The transition point in these models is of novel type: jump of the order parameter coincides with its power-law singularity. Some…

Statistical Mechanics · Physics 2009-10-31 A. Lipowski

We investigate the collective dynamics of a population of XY model-type oscillators, globally coupled via non-separable interactions that are randomly chosen from a positive or negative value, and subject to thermal noise controlled by…

Adaptation and Self-Organizing Systems · Physics 2022-06-29 Hyunsuk Hong , Erik Andreas Martens

We study an anisotropic version of the $J_1-J_2$ model with S=1. We find a second order transition from a N\'eel $Q=(\pi,\pi)$ phase to a disordered phase with a spin gap.

Strongly Correlated Electrons · Physics 2009-11-11 S. Moukouri

We consider non-equilibrium phenomena in a very simple model that displays a zero-temperature first-order phase transition. The quantum Ising model with a four-spin exchange is adopted as a general representative of first-order quantum…

Strongly Correlated Electrons · Physics 2016-03-30 Lorenzo Del Re , Michele Fabrizio , Erio Tosatti

We study the S>1 nearest-neighbor Heisenberg model with a ferromagnetic interaction J and a large non-collinear <111> easy-axis anisotropy D on a pyrochlore lattice. For a finite D>>|J|, the low-energy physics is described by a < 111 >…

Statistical Mechanics · Physics 2010-10-29 Yang-Zhi Chou , Ying-Jer Kao

Quantum phase transitions have been the subject of intense investigations in the last two decades [1]. Among other problems, these phase transitions are relevant in the study of heavy fermion systems, high temperature superconductors and…

Strongly Correlated Electrons · Physics 2015-06-25 M. A. Continentino , A. S. Ferreira

We have developed an efficient tensor network algorithm for spin ladders, which generates ground-state wave functions for infinite-size quantum spin ladders. The algorithm is able to efficiently compute the ground-state fidelity per lattice…

Statistical Mechanics · Physics 2011-05-17 Sheng-Hao Li , Yao-Heng Su , Yan-Wei Dai , Huan-Qiang Zhou

We show that the quantum order parameters (QOP) associated with the transitions between a normal conductor and a superconductor in the BCS and eta-pairing models and between a Mott-insulator and a superfluid in the Bose-Hubbard model are…

Quantum Physics · Physics 2007-05-23 Fernando Guadalupe Santos Lins Brandao

We consider two-dimensional $q$-state quantum clock models with quantum fluctuations connecting states with clock transitions with different choices for matrix elements. We study the quantum phase transitions in these models using quantum…

Strongly Correlated Electrons · Physics 2024-06-21 Pranay Patil , Hui Shao , Anders W. Sandvik

We demonstrate the quantum fidelity approach for exploring and mapping out quantum phases. As a simple model exhibiting a number of distinct quantum phases, we consider the alternating-bond Ising chain using the infinite time evolving block…

Quantum Physics · Physics 2015-08-07 Hai Tao Wang , Sam Young Cho , Murray T. Batchelor

Gapped fracton phases of matter generalize the concept of topological order and broaden our fundamental understanding of entanglement in quantum many-body systems. However, their analytical or numerical description beyond exactly solvable…

Strongly Correlated Electrons · Physics 2023-05-30 Guo-Yi Zhu , Ji-Yao Chen , Peng Ye , Simon Trebst

The quantum phase estimation algorithm stands as the primary method for determining the ground state energy of a molecular electronic Hamiltonian on a quantum computer. In this context, the ability to initialize a classically tractable…

We present the first examples of topological phases of matter with uniform power for measurement-based quantum computation. This is possible thanks to a new framework for analyzing the computational properties of phases of matter that is…

The quantum phase transitions of dipoles confined to the vertices of two dimensional (2D) lattices of square and triangular geometry is studied using path integral ground state quantum Monte Carlo (PIGS). We analyze the phase diagram as a…

Quantum Physics · Physics 2018-03-12 Brendan P. Abolins , Robert E. Zillich , K. Birgitta Whaley

Quantum phase transitions and observables of interest of the ground state in the Tavis-Cummings model are analyzed, for any number of atoms, by using a tensorial product of coherent states. It is found that this "trial" state constitutes a…

In this work, the anisotropic variant of the quantum Rabi model with different coupling strengths of the rotating and counter-rotating wave terms is studied by the Bogoliubov operator approach. The anisotropy preserves the parity symmetry…

Quantum Physics · Physics 2021-04-13 Xiang-You Chen , Liwei Duan , Daniel Braak , Qing-Hu Chen