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We present some conjectured approximations for spin expectations in a Quantum Heisenberg system. The conjectures are based on numerical experimentation, some theoretical insights and underpinning, and aesthetic value. We hope theoretical…

Mathematical Physics · Physics 2007-05-23 Paul Federbush

For over twenty years, ultra-cold atomic systems have formed an almost perfect arena for simulating different quantum many-body phenomena and exposing their non-obvious and very often counterintuitive features. Thanks to extremely precise…

Quantum Gases · Physics 2020-06-12 Jacek Dobrzyniecki , Tomasz Sowiński

This article gives an introduction to the realization of effective quantum magnetism with ultracold molecules in an optical lattice, reviews experimental and theoretical progress, and highlights future opportunities opened up by ongoing…

Quantum Gases · Physics 2015-09-02 M. L. Wall , K. R. A. Hazzard , A. M. Rey

Ultracold fermionic atoms in optical lattices offer pristine realizations of Hubbard models, which are fundamental to modern condensed matter physics. Despite significant advancements, the accessible temperatures in these optical lattice…

General conditions in which disordered, spin liquid, and valence-bond ordered phases occur in quantum Ising antiferromagnets are studied using the prototype Kagome lattice spin models. A range of quantum dynamical processes in the Ising…

Strongly Correlated Electrons · Physics 2010-07-16 Predrag Nikolic

Quantum spin liquids may be considered "quantum disordered" ground states of spin systems, in which zero point fluctuations are so strong that they prevent conventional magnetic long range order. More interestingly, quantum spin liquids are…

Strongly Correlated Electrons · Physics 2017-02-21 Lucile Savary , Leon Balents

Spin liquids are exotic phases of quantum matter challenging Landau's paradigm of symmetry-breaking phase transitions. Despite strong exchange interactions, spins do not order or freeze down to zero temperature. While well-established for…

Strongly Correlated Electrons · Physics 2020-04-22 P. Khuntia , M. Velazquez , Q. Barthélemy , F. Bert , E. Kermarrec , A. Legros , B. Bernu , L. Messio , A. Zorko , P. Mendels

We propose the implementation of a digital quantum simulator for prototypical spin models in a circuit quantum electrodynamics architecture. We consider the feasibility of the quantum simulation of Heisenberg and frustrated Ising models in…

Quantum Physics · Physics 2014-05-23 U. Las Heras , A. Mezzacapo , L. Lamata , S. Filipp , A. Wallraff , E. Solano

This is an introductory review of the physics of topological quantum matter with cold atoms. Topological quantum phases, originally discovered and investigated in condensed matter physics, have recently been explored in a range of different…

Quantum Gases · Physics 2019-04-03 Dan-Wei Zhang , Yan-Qing Zhu , Y. X. Zhao , Hui Yan , Shi-Liang Zhu

A recently introduced class of quantum spherical spin models is considered in detail. Since the spherical constraint already contains a kinetic part, the Hamiltonian need not have kinetic term. As a consequence, situations with or without…

Condensed Matter · Physics 2009-11-10 R. Serral Gracia , Th. M. Nieuwenhuizen

We analyse and numerically simulate the full many-body quantum dynamics of a spin-1 condensate in the single spatial mode approximation. Initially, the condensate is in a ``ferromagnetic'' state with all spins aligned along the $y$ axis and…

Other Condensed Matter · Physics 2009-11-11 L. I. Plimak , C. Weiß , R. Walser , W. P. Schleich

Recent discovery of several van der waals magnetic material and moire magnet introduce to us an extremely challenging and revolutionary era of 2D magnetism and correlated phenomena for low dimensional material.More often the simplest spin…

Statistical Mechanics · Physics 2023-06-06 Nepal Banerjee

The existence of quantum spin liquids was first conjectured by Pomeranchuk some 70 years ago, who argued that frustration in simple antiferromagnetic theories could result in a Fermi-liquid-like state for spinon excitations. Here we show…

Strongly Correlated Electrons · Physics 2011-12-13 Christopher N. Varney , Kai Sun , Victor Galitski , Marcos Rigol

New physics can emerge in magnetic materials where quantum fluctuations are enhanced due to reduced dimensionality and strong frustration. One long sought example is the resonating-valence-bond (RVB) state, where atomic magnetic moments are…

Strongly Correlated Electrons · Physics 2013-07-19 Tian-Heng Han , Joel S. Helton , Shaoyan Chu , Daniel G. Nocera , Jose A. Rodriguez-Rivera , Collin Broholm , Young S. Lee

We introduce a novel geometrically frustrated classical Ising model, dubbed the "spin vorticity model", whose ground state manifold is a novel classical spin liquid, a "2-form Coulomb phase". We study the thermodynamics of this model both…

Strongly Correlated Electrons · Physics 2025-03-17 Kristian Tyn Kai Chung , Michel J. P. Gingras

We revisit the description of the low-energy singlet sector of the spin-1/2 Heisenberg antiferromagnet on kagome in terms of an effective quantum dimer model. With the help of exact diagonalizations of appropriate finite-size clusters, we…

Strongly Correlated Electrons · Physics 2014-09-16 Ioannis Rousochatzakis , Yuan Wan , Oleg Tchernyshyov , Frédéric Mila

Quantum phases of naturally-occurring systems exhibit distinctive collective phenomena as manifestation of their many-body correlations, in contrast to our persistent technological challenge to engineer at will such strong correlations…

Quantum Physics · Physics 2011-05-31 Akimasa Miyake

The (pseudo-)spin degrees of freedom greatly enriches the physics of cold atoms. This is particularly so for systems with high spins (i.e., spin quantum number larger than 1/2). For example, one can construct not only the rank-1 spin…

Quantum Gases · Physics 2020-11-11 Li Chen , Yunbo Zhang , Han Pu

In this review we discuss the works in the area of quantum simulation and many-body physics with light, from the early proposals on equilibrium models to the more recent works in driven dissipative platforms. We start by describing the…

Quantum Physics · Physics 2016-11-29 Changsuk Noh , Dimitris G. Angelakis

This article provides an overview, primarily from an experimental perspective, of recent progress and future prospects in using helium to realize a range of quantum materials of generic interest, by "top-down" and "bottom-up"…

Strongly Correlated Electrons · Physics 2019-10-03 J. Saunders
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