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We propose a photonic quantum simulator for anti-ferromagnetic spin systems based on reservoir engineering. We consider a scheme where quadratically driven dissipative Kerr cavities are indirectly coupled via lossy ancillary cavities. We…

Quantum Physics · Physics 2021-03-03 Zejian Li , Ariane Soret , Cristiano Ciuti

We present a family of two-dimensional frustrated quantum magnets solely based on pure nearest-neighbor Heisenberg interactions which can be solved quasi-exactly. All lattices are constructed in terms of frustrated quantum cages containing…

Strongly Correlated Electrons · Physics 2014-09-29 K. P. Schmidt , M. Laad

Two-dimensional (2D) quantum magnetism is a paradigm in strongly correlated many-body physics. The understanding of 2D quantum magnetism can be expedited by employing a controllable quantum simulator that faithfully maps 2D-spin…

Quantum fluctuations become particularly relevant in highly frustrated quantum magnets and can lead to new states of matter. We provide a simple and robust scenario for inducing magnetic vortex crystals in frustrated Mott insulators. By…

Strongly Correlated Electrons · Physics 2014-03-04 Yoshitomo Kamiya , Cristian D. Batista

We study the dynamical response of frustrated, quasi-one-dimensional spin-1/2 Heisenberg antiferromagnets at finite temperatures. We allow for the presence of a Dzyaloshinskii-Moriya interaction. We concentrate on a model of weakly coupled…

Strongly Correlated Electrons · Physics 2009-11-07 Marc Bocquet , Fabian H. L. Essler , Alexei M. Tsvelik , Alexander O. Gogolin

We study the $J_1$-$J_2$ Ising model on the honeycomb lattice, considering ferromagnetic interactions between first neighbors ($J_1$) and antiferromagnetic interactions between second neighbors ($J_2$). Our analysis is based on the…

Statistical Mechanics · Physics 2025-09-29 Carlos H. D. Batista , M. Schmidt , F. M. Zimmer

We investigate the behavior of genuine multipartite entanglement of paradigmatic frustrated quantum spin systems. We consider six different spin models, whose frustration ranges from being very high to very low. We find that the highly…

Quantum Physics · Physics 2014-01-17 Lavisha Jindal , Ameya Deepak Rane , Himadri Shekhar Dhar , Aditi Sen De , Ujjwal Sen

In this work we generalize and subsequently apply the Effective Field Renormalization Group technique to the problem of ferro- and antiferromagnetically coupled Ising spins with local anisotropy axes in geometrically frustrated geometries…

Strongly Correlated Electrons · Physics 2009-11-07 A. J. Garcia-Adeva , D. L. Huber

Through the direct decoration transformation approach, we obtain a general solution for the pentagonal Ising model, showing its equivalence to the isotropic free-fermion eight-vertex model. We study the ground-state phase diagram, in which…

Statistical Mechanics · Physics 2015-03-19 M. Rojas , Onofre Rojas , S. M. de Souza

The Kuramoto model describes the synchronization of coupled oscillators that have different natural frequencies. Among the many generalizations of the original model, Kuramoto and Sakaguchi (KS) proposed a {\it frustrated} version that…

Adaptation and Self-Organizing Systems · Physics 2022-10-05 Guilhermo L. Buzanello , Ana Elisa D. Barioni , Marcus A. M. de Aguiar

The pure-quantum self-consistent harmonic approximation, a semiclassical method based on the path-integral formulation of quantum statistical mechanics, is applied to the study of the thermodynamic behaviour of the quantum Heisenberg…

Statistical Mechanics · Physics 2009-10-31 A. Cuccoli , V. Tognetti , P. Verrucchi , R. Vaia

A scheme is presented for engineering momentum-space entanglement of fragmented magnon condensates. We consider easy plane frustrated antiferromagnets in which the magnon dispersion has degenerate minima that represent umbrella chiral spin…

Mesoscale and Nanoscale Physics · Physics 2017-08-16 Clement H. Wong , Ari Mizel

We have considered the $S=1/2$ antiferromagnetic Heisenberg model in two dimensions, with an additional Ising \nnn interaction. Antiferromagnetic \nnn interactions will lead to frustration, and the system responds with flipping the spins…

Strongly Correlated Electrons · Physics 2015-06-25 J. Hove , A. Sudbø

We review the results of large scale simulations of noncompact quenched $QED$ which use spectrum and Equation of State calculations to determine the theory's phase diagram, critical indices, and continuum limit. The resulting anomalous…

High Energy Physics - Lattice · Physics 2009-10-22 Mp Lombardo , J. B. Kogut , A. Kocic , K. C. Wang

Above the saturation field, geometrically frustrated quantum antiferromagnets have dispersionless low-energy branches of excitations corresponding to localized spin-flip modes. Transition into a partially magnetized state occurs via…

Strongly Correlated Electrons · Physics 2009-11-11 M. E. Zhitomirsky , H. Tsunetsugu

We investigate the consequences for geometrically frustrated antiferromagnets of weak disorder in the strength of exchange interactions. Taking as a model the classical Heisenberg antiferromagnet with nearest neighbour exchange on the…

Strongly Correlated Electrons · Physics 2007-05-23 T. E. Saunders , J. T. Chalker

In these lectures we sketch a rapid survey of recent theoretical advances in the study of frustrated quantum magnets with a special emphasis on two dimensional magnets.

Strongly Correlated Electrons · Physics 2007-05-23 Claire Lhuillier , Gregoire Misguich

We study a slight variation of the unimodular gauge condition which we call "the derivative gauge condition". We show that at the classical level these conditions are completely equivalent up to a surface term. At the quantum level the…

General Relativity and Quantum Cosmology · Physics 2020-04-06 Renata Jora

We consider a 3-dimensional quantum antiferromagnet which can be driven through a quantum critical point (QCP) by varying a tuning parameter g. Starting from the magnetically ordered phase, the N{\'e}el temperature will decrease to zero as…

Strongly Correlated Electrons · Physics 2015-06-03 J. Oitmaa , Y. Kulik , O. P. Sushkov

Simple mean-field approach for frustrated antiferromagnets on hexagonal lattices, aimed to describe the high-temperature part of the temperature-magnetic field phase diagram, is proposed. It is shown, that an interplay between modulation…

Strongly Correlated Electrons · Physics 2022-03-04 Oleg I. Utesov