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It is generally believed that the spin-$\tfrac{1}{2}$ triangular-lattice $J_1$-$J_2$ Heisenberg model hosts a quantum spin liquid in the intermediate regime between the $120^\circ$ and stripe ordered phases. Density matrix renormalization…

Strongly Correlated Electrons · Physics 2026-03-11 Oleksandra Kovalska , Ester Pagès Fontanella , Benedikt Schneider , Hong-Hao Tu , Jan von Delft

We study the ground state phase diagram of the twisted three-leg spin tube in magnetic fields by the density matrix renormalization group (DMRG) method. The twisted spin tube is composed of triangular unit cells and possesses strong quantum…

Strongly Correlated Electrons · Physics 2015-09-30 Kouki Yonaga , Naokazu Shibata

We investigate the properties of a three-leg quantum spin tube using several techniques such as the density matrix renormalization group method, strong coupling approaches and the non linear sigma model. For integer spins S, the model…

Strongly Correlated Electrons · Physics 2011-03-01 D. Charrier , S. Capponi , M. Oshikawa , P. Pujol

We propose a novel algorithm with a modified Tucker decomposition for tensor network that allows for efficiently and precisely calculating the ground state and thermodynamic properties of two-dimensional (2D) quantum spin lattice systems,…

Strongly Correlated Electrons · Physics 2011-12-13 Shi-Ju Ran , Wei Li , Gang Su

We study quantum phase transitions in the asymmetric variation of the three-leg Heisenberg tube for half-odd-integer spin, with a modulation of one of the rung exchange couplings $J'_\perp$ while the other two are kept constant $J_\perp$.…

Strongly Correlated Electrons · Physics 2014-02-28 Yohei Fuji , Satoshi Nishimoto , Hitoshi Nakada , Masaki Oshikawa

In this work we analyze the ground-state properties of the $s=1/2$ one-dimensional ANNNI model in a transverse field using the quantum fidelity approach. We numerically determined the fidelity susceptibility as a function of the transverse…

Statistical Mechanics · Physics 2017-10-25 O. F. de Alcantara Bonfim , B. Boechat , J. Florencio

Models of interacting many-body quantum systems that may realize new exotic phases of matter, notably quantum spin liquids, are challenging to study using even state-of-the-art classical methods such as tensor network simulations. Quantum…

Quantum Physics · Physics 2025-04-16 Aaron Szasz , Ed Younis , Wibe Albert de Jong

We analyze the quantum phase transition in the Bose-Hubbard model borrowing two tools from quantum-information theory, i.e. the ground-state fidelity and entanglement measures. We consider systems at unitary filling comprising up to 50…

Other Condensed Matter · Physics 2008-05-26 Pierfrancesco Buonsante , Alessandro Vezzani

The quantum spin-1/2 two-leg ladder with an anisotropic XYZ Heisenberg intra-rung interaction and Ising inter-rung interactions is treated by means of a rigorous approach based on the unitary transformation. The particular case of the…

Statistical Mechanics · Physics 2013-03-25 T. Verkholyak , J. Strecka

Using the infinite Projected Entangled Pair States (iPEPS) algorithm, we study the ground-state properties of the spin-$1/2$ quantum Heisenberg antiferromagnet on the star lattice in the thermodynamic limit. By analyzing the ground-state…

Strongly Correlated Electrons · Physics 2018-10-11 Saeed S. Jahromi , Roman Orus

Quantum simulators are controllable quantum systems that can reproduce the dynamics of the system of interest, which are unfeasible for classical computers. Recent developments in quantum technology enable the precise control of individual…

Quantum Physics · Physics 2015-05-19 Xiao-song Ma , Borivoje Dakic , William Naylor , Anton Zeilinger , Philip Walther

Fidelity approach has been widely used to detect various types of quantum phase transitions, including some that are beyond the Landau symmetry breaking theory, in condensed matter models. However, challenges remain in locating the…

Strongly Correlated Electrons · Physics 2021-09-01 Ho-Kin Tang , Mohamad Ali Marashli , Wing Chi Yu

We consider a spin ladder model which is known to have matrix product states as exact ground states with spin liquid characteristics. The model has two critical-point transitions at the parameter values u=0 and infinity. We study the…

Quantum Physics · Physics 2008-03-18 Amit Tribedi , Indrani Bose

We use reduced fidelity approach to characterize quantum phase transitions in the one-dimensional spin-1/2 dimerized Heisenberg chain in the antiferromagnetic case. The reduced fidelity susceptibilities between two nearest-neighboring spin…

Quantum Physics · Physics 2009-11-13 Heng-Na Xiong , Jian Ma , Zhe Sun , Xiaoguang Wang

Simulating low-temperature properties of three-dimensional frustrated quantum magnets is challenging due to the sign problem and the system sizes required to mitigate substantial finite-size effects. However, there are many experimental…

Strongly Correlated Electrons · Physics 2026-02-11 Rajah P. Nutakki , Filippo Vicentini

Using (infinite) density matrix renormalization group techniques, ground state properties of antiferromagnetic S=1 Heisenberg spin chains with exchange and single-site anisotropies in an external field are studied. The phase diagram is…

Statistical Mechanics · Physics 2012-11-07 D. Peters , I. P. McCulloch , W. Selke

We investigate the spin-1/2 twisted three-leg antiferromagnetic quantum spin tube in the presence of the easy-plane anisotropy, using the numerical diagonalization of finite-size clusters. And we observe cases of the existence and the…

Strongly Correlated Electrons · Physics 2017-06-22 Keisuke Ito , Shun Yokoo , Kiyomi Okamoto , Toru Sakai

Using infinite projected entangled pair states, we study the ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice directly in the thermodynamic limit. We find an unexpected partially nematic…

Strongly Correlated Electrons · Physics 2017-11-01 Ido Niesen , Philippe Corboz

Understanding dissipation in 2D quantum many-body systems is a remarkably difficult open challenge. Here we show how numerical simulations for this problem are possible by means of a tensor network algorithm that approximates steady-states…

Strongly Correlated Electrons · Physics 2017-11-27 Augustine Kshetrimayum , Hendrik Weimer , Roman Orus

Motivated by its relation to an $\cal{NP}$-hard problem, we analyze the ground state properties of anti-ferromagnetic Ising-spin networks embedded on planar cubic lattices, under the action of homogeneous transverse and longitudinal…

Quantum Physics · Physics 2009-11-10 Cameron Wellard , Roman Orus