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Can the properties of the thermodynamic limit of a many-body quantum system be extrapolated by analysing a sequence of finite-size cases? We present a model for which such an approach gives completely misleading results: a translationally…

Quantum Physics · Physics 2018-02-06 Johannes Bausch , Toby S. Cubitt , Angelo Lucia , David Perez-Garcia , Michael M. Wolf

We consider a family of generalized Rokhsar-Kivelson (RK) Hamiltonians, which are reverse-engineered to have an arbitrary edge-weighted superposition of dimer coverings as their exact ground state at the RK point. We focus on a quantum…

Strongly Correlated Electrons · Physics 2026-03-17 Laura Shou , Jeet Shah , Matthew Lerner-Brecher , Amol Aggarwal , Alexei Borodin , Victor Galitski

We present a general approach for the study of dimer model limit shape problems via variational and integrable systems techniques. In particular we deduce the limit shape of the Aztec diamond and the hexagon for quasi-periodic weights…

Mathematical Physics · Physics 2024-07-30 Alexander I. Bobenko , Nikolai Bobenko

The spin-1/2 Heisenberg antiferromagnet on the diamond-decorated square lattice in the presence of a magnetic field displays various quantum phases including the Lieb-Mattis ferrimagnetic, dimer-tetramer, monomer-dimer, and spin-canted…

Strongly Correlated Electrons · Physics 2025-01-09 Katarina Karlova , Andreas Honecker , Nils Caci , Stefan Wessel , Jozef Strecka , Taras Verkholyak

Equilibrium phase transitions usually emerge from the microscopic behavior of many-body systems and are associated to interesting phenomena such as the generation of long-range order and spontaneous symmetry breaking. They can be defined…

Quantum Physics · Physics 2023-03-24 Emmanouil Grigoriou , Carlos Navarrete-Benlloch

While volume violation of area law has been exhibited in several quantum spin chains, the construction of a corresponding ground state in higher dimensions, entangled in more than one direction, has been an open problem. Here we construct a…

Quantum Physics · Physics 2024-10-16 Zhao Zhang , Israel Klich

While quantum statistical mechanics triumphs in explaining many equilibrium phenomena, there is an increasing focus on going beyond conventional scenarios of thermalization. Traditionally examples of non-thermalizing systems are either…

High Energy Physics - Lattice · Physics 2026-04-07 Joel Steinegger , Debasish Banerjee , Emilie Huffman , Lukas Rammelmüller

We investigate the quantum phase transition in the anisotropic Dicke model through an examination of the quantum geometric tensor of the ground state. In this analysis, two distinct classical limits exhibit their unique anisotropic…

Quantum Physics · Physics 2024-06-11 Xin Zhu , Jia-Hao Lü , Wen Ning , Li-Tuo Shen , Fan Wu , Zhen-Biao Yang

Here we study the two-periodic weighted dimer model on the Aztec diamond graph. In the thermodynamic limit when the size of the graph goes to infinity while weights are fixed, the model develops a limit shape with frozen regions near…

Mathematical Physics · Physics 2023-02-03 Emily Bain

We introduce a quantum dimer model on the hexagonal lattice that, in addition to the standard three-dimer kinetic and potential terms, includes a competing potential part counting dimer-free hexagons. The zero-temperature phase diagram is…

Strongly Correlated Electrons · Physics 2015-11-24 T. M. Schlittler , T. Barthel , G. Misguich , J. Vidal , R. Mosseri

The $\mathbb{Z}_2$ topological phase in the quantum dimer model on the Kagom\'e-lattice is a candidate for the description of the low-energy physics of the anti-ferromagnetic Heisenberg model on the same lattice. We study the extend of the…

Strongly Correlated Electrons · Physics 2017-12-20 Marc D. Schulz

The spin-1/2 antiferromagnetic Heisenberg systems are studied on three typical diamond-type hierarchical lattices (systems A, B and C) with fractal dimensions 1.63, 2 and 2.58, respectively, and the phase diagrams, critical phenomena and…

Statistical Mechanics · Physics 2021-07-13 Pan-Pan Zhang , Zhong-Yang Gao , Yu-Liang Xu , Chun-Yang Wang , Xiang-Mu Kong

We report the experimental realization of a spin-1/2 extended diamond chain in a verdazyl-Cu complex, where competing interactions and lattice distortions give rise to exotic quantum phases. The magnetic properties exhibit a zero-field…

Strongly Correlated Electrons · Physics 2025-09-11 Hironori Yamaguchi , Shunsuke C. Furuya , Yu Tominaga , Akira Matsuo , Koichi Kindo

We study the quantum phase transition of the Dicke model in the classical oscillator limit, where it occurs already for finite spin length. In contrast to the classical spin limit, for which spin-oscillator entanglement diverges at the…

Quantum Physics · Physics 2012-05-08 L. Bakemeier , A. Alvermann , H. Fehske

Quantum dimer models are known to host topological quantum spin liquid phases, and it has recently become possible to simulate such models with Rydberg atoms trapped in arrays of optical tweezers. Here, we present large-scale quantum Monte…

Strongly Correlated Electrons · Physics 2022-11-08 Zheng Yan , Rhine Samajdar , Yan-Cheng Wang , Subir Sachdev , Zi Yang Meng

Quantum loop and dimer models are archetypal examples of correlated systems with local constraints. Obtaining generic solutions for these models is difficult due to the lack of controlled methods to solve them in the thermodynamic limit.…

Strongly Correlated Electrons · Physics 2024-06-12 Xiaoxue Ran , Zheng Yan , Yan-Cheng Wang , Junchen Rong , Yang Qi , Zi Yang Meng

We consider a quantum dimer model (QDM) on the kagome lattice which was introduced recently [Phys. Rev. Lett. 89, 137202 (2002)]. It realizes a Z_2 liquid phase and its spectrum was obtained exactly. It displays a topological degeneracy…

Strongly Correlated Electrons · Physics 2007-05-23 Gregoire Misguich , Vincent Pasquier , Frederic Mila , Claire Lhuillier

We study a periodically driven macrospin system with anisotropic long-range interactions and collective dissipation, described by a Lindblad master equation. In the thermodynamic limit ($N\to\infty$), a mean-field treatment yields classical…

Quantum Physics · Physics 2026-01-05 Haowei Fan , Vladimir Fal'ko , Xiao Li

Exactly solvable frustrated quantum spin models consisting of a diamond unit structure are presented. The ground states are characterized by tetramer-dimer states with a macroscopic degeneracy in a certain range of isotropic exchange…

Strongly Correlated Electrons · Physics 2016-10-03 K. Morita , N. Shibata

We study a model of close-packed dimers on the square lattice with a nearest neighbor interaction between parallel dimers. This model corresponds to the classical limit of quantum dimer models [D.S. Rokhsar and S.A. Kivelson, Phys. Rev.…

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