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We propose a hybrid quantum architecture for engineering a photonicMott insulator-superfluid phase transition in a two-dimensional (2D) square lattice of a superconducting transmission line resonator (TLR) coupled to a single…

Quantum Physics · Physics 2015-04-22 Jia-Bin You , W. L. Yang , Zhen-Yu Xu , A. H. Chan , C. H. Oh

Phase transitions occupy a central role in physics, due both to their experimental ubiquity and their fundamental conceptual importance. The explanation of universality at phase transitions was the great success of the theory formulated by…

Statistical Mechanics · Physics 2009-11-11 Fabien Alet , Gregoire Misguich , Vincent Pasquier , Roderich Moessner , Jesper Lykke Jacobsen

Confinement is an intriguing phenomenon prevalent in condensed matter and high-energy physics. Exploring its effect on the far-from-equilibrium criticality of quantum many-body systems is of great interest both from a fundamental and…

Quantum Gases · Physics 2025-10-20 Jesse Osborne , Ian P. McCulloch , Jad C. Halimeh

Spin liquids occuring in 2D frustrated spin systems were initially assumed to appear at strongest frustration, but evidence grows that they more likely intervene at transitions between two different types of order. To identify if this is…

Quantum Gases · Physics 2013-01-30 Philipp Hauke

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 consider the $(2+1)$-d $SU(2)$ quantum link model on the honeycomb lattice and show that it is equivalent to a quantum dimer model on the Kagom\'e lattice. The model has crystalline confined phases with spontaneously broken translation…

Strongly Correlated Electrons · Physics 2018-05-16 D. Banerjee , F. -J. Jiang , T. Z. Olesen , P. Orland , U. -J. Wiese

We discuss the discovery by variational Monte Carlo (VMC) methods of a series of multinode quantum spin liquids (QSLs) in extended Kitaev models on the honeycomb lattice. Like the gapless Kitaev spin liquid with its two nodes at K and…

Strongly Correlated Electrons · Physics 2024-12-03 Jiucai Wang , B. Normand , Zheng-Xin Liu

We derive a continuum theory for the phase transition in a classical dimer model on the cubic lattice, observed in recent Monte Carlo simulations. Our derivation relies on the mapping from a three-dimensional classical problem to a…

Statistical Mechanics · Physics 2008-10-08 Stephen Powell , J. T. Chalker

We map out the ground state phase diagram of the isotropic Kekule'-Kitaev model on the honeycomb lattice in the presence of the Heisenberg exchange couplings. Our study relies on large-scale tensor network simulations based on graph-based…

Strongly Correlated Electrons · Physics 2024-12-02 Fatemeh Mirmojarabian , Saeed S. Jahromi , Jahanfar Abouie

The six-vertex F model on the square lattice constitutes the unique example of an exactly solved model exhibiting an infinite-order phase transition of the Kosterlitz-Thouless type. As one of the few non-trivial exactly solved models, it…

Statistical Mechanics · Physics 2016-08-31 Martin Weigel , Wolfhard Janke

For arbitrary space dimension $d$ we investigate the quantum phase transitions of two paradigmatic spin models defined on a hypercubic lattice, the coupled-dimer Heisenberg model and the transverse-field Ising model. To this end high-order…

Strongly Correlated Electrons · Physics 2016-09-14 K. Coester , D. G. Joshi , M. Vojta , K. P. Schmidt

We explore the first-order phase transition in the lattice Schwinger model in the presence of a topological $\theta$-term by means of the variational quantum eigensolver (VQE). Using two different fermion discretizations, Wilson and…

High Energy Physics - Lattice · Physics 2025-01-22 Takis Angelides , Pranay Naredi , Arianna Crippa , Karl Jansen , Stefan Kühn , Ivano Tavernelli , Derek S. Wang

Making use of infinite projected entangled pair states, we investigate the ground state phase diagram of the nearest-neighbor spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice. In agreement with previous studies, we…

Strongly Correlated Electrons · Physics 2018-06-28 Ido Niesen , Philippe Corboz

Using tensor network methods, we simulate the real-time evolution of the lattice Thirring model quenched out of equilibrium in both the critical and massive phases and study the appearance of dynamical quantum phase transitions, as…

High Energy Physics - Lattice · Physics 2025-06-25 Mari Carmen Bañuls , Krzysztof Cichy , Hao-Ti Hung , Ying-Jer Kao , C. -J. David Lin , Amit Singh

We present a quantum Monte Carlo investigation of the finite-temperature phase diagram of the quantum dimer model on the square lattice. We use the sweeping cluster algorithm, which allows to implement exactly the dimer constraint,…

Strongly Correlated Electrons · Physics 2022-11-17 Bhupen Dabholkar , G. J. Sreejith , Fabien Alet

The phase transition in frustrated spin systems is a fascinated subject in statistical physics. We show the result obtained by the Wang-Landau flat histogram Monte Carlo simulation on the phase transition in the fully frustrated simple…

Statistical Mechanics · Physics 2010-12-21 V. Thanh Ngo , D. Tien Hoang , Hung The Diep

We study the $q$-state clock models on heptagonal lattices assigned on a negatively curved surface. We show that the system exhibits three classes of equilibrium phases; in between ordered and disordered phases, an intermediate phase…

Statistical Mechanics · Physics 2009-07-26 Seung Ki Baek , Petter Minnhagen , Hiroyuki Shima , Beom Jun Kim

The nature of the zero-temperature phase diagram of the spin-$1/2$ $J_1$-$J_2$ Heisenberg model on a square lattice has been debated in the past three decades, which may hold the key to understand high temperature superconductivity. By…

Strongly Correlated Electrons · Physics 2022-06-01 Wen-Yuan Liu , Shou-Shu Gong , Yu-Bin Li , Didier Poilblanc , Wei-Qiang Chen , Zheng-Cheng Gu

We study the interplay between topological and conventional long range order of attractive fermions in a time reversal symmetric Hofstadter lattice using quantum Monte Carlo simulations, focussing on the case of one-third flux quantum per…

Strongly Correlated Electrons · Physics 2014-11-11 Lei Wang , Hsiang-Hsuan Hung , Matthias Troyer

A quantum spin liquid hosts massive quantum entanglement whose identification is one of the most significant problems in physics. Yet, its detection is known to be notoriously difficult because of featureless properties without a symmetry…

Strongly Correlated Electrons · Physics 2024-12-17 Minsu Park , Masafumi Udagawa , Eun-Gook Moon