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Motivated by far-reaching applications ranging from quantum simulations of complex processes in physics and chemistry to quantum information processing, a broad effort is currently underway to build large-scale programmable quantum systems.…

The recent experimental observation of spinor self-ordering of ultracold atoms in optical resonators has set the stage for the exploration of emergent magnetic orders in quantum-gas--cavity systems. Based on this platform, we introduce a…

Quantum Gases · Physics 2019-03-27 Farokh Mivehvar , Helmut Ritsch , Francesco Piazza

Unlike conventional magnets where the magnetic moments are partially or completely static in the ground state, in a quantum spin liquid they remain in collective motion down to the lowest temperatures. The importance of this state is that…

We establish a theoretical correspondence between spin-one antiferromagnetic spinor condensates in an external magnetic field and quantum rotor models in an external potential. We show that the rotor model provides a conceptually clear…

Quantum Gases · Physics 2010-09-30 Ryan Barnett , Jay D. Sau , S. Das Sarma

We consider a large quantum system with spins $\frac{1}{2}$ whose dynamics is driven entirely by measurements of the total spin of spin pairs. This gives rise to a dissipative coupling to the environment. When one averages over the…

Strongly Correlated Electrons · Physics 2014-12-10 D. Banerjee , F. -J. Jiang , M. Kon , U. -J. Wiese

Geometrical frustration in spin systems often results in a large number of degenerate ground states. In this work we study the antiferromagnetic Ising model on the three dimensional swedenborgite lattice which is a specific stacking of…

Strongly Correlated Electrons · Physics 2014-10-01 Stefan Buhrandt , Lars Fritz

We propose a two qubit experiment for validating tunable antiferromagnetic $XX$ interactions in quantum annealing. Such interactions allow the time-dependent Hamiltonian to be non-stoquastic, and the instantaneous ground state can have…

Quantum Physics · Physics 2020-01-10 Tameem Albash

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

The emergence of exotic quantum phenomena in frustrated magnets is rapidly driving the development of quantum many-body physics, raising fundamental questions on the nature of quantum phase transitions. Here we unveil the behaviour of…

Strongly Correlated Electrons · Physics 2024-01-29 Wen-Yuan Liu , Shou-Shu Gong , Wei-Qiang Chen , Zheng-Cheng Gu

Artificially engineered light-matter systems constitute a novel, versatile architecture for the quantum simulation of driven, dissipative phase transitions and non-equilibrium quantum many-body systems. Here, we review recent experimental…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Sebastian Schmidt

In this paper, we propose a method to understand the nature for the quantum disorder phase of the two-dimensional (2D) high spin frustrated model. The ground state and excitation properties of a fully frustrated 2D spin-1 model are studied…

Strongly Correlated Electrons · Physics 2007-08-27 Zi Cai , Shu Chen , Supeng Kou , Yupeng Wang

After a short introduction on frustrated spin systems, we study in this chapter several two-dimensional frustrated Ising spin systems which can be exactly solved by using vertex models. We show that these systems contain most of the…

Statistical Mechanics · Physics 2020-01-01 H. T. Diep , H. Giacomini

The behaviour of correlations across a bipartition is an indispensable tool in diagnosing quantum phases of matter. Here we present a spin chain with position-dependent XX couplings and magnetic fields, that can reproduce arbitrary…

Quantum Physics · Physics 2025-11-06 Lucy Byles , Germán Sierra , Jiannis K. Pachos

At low temperatures, weakly coupled spin chains develop a magnetic order that reflects the character of gapless spin fluctuations along the chains. Using nuclear magnetic resonance, we identify and characterize two ordered states in the…

Strongly Correlated Electrons · Physics 2012-03-01 M. Klanjsek , M. Horvatic , C. Berthier , H. Mayaffre , E. Canevet , B. Grenier , P. Lejay , E. Orignac

Quantum-mechanical correlations of interacting fermions result in the emergence of exotic phases. Magnetic phases naturally arise in the Mott-insulator regime of the Fermi-Hubbard model, where charges are localized and the spin degree of…

Mesoscale and Nanoscale Physics · Physics 2021-11-18 C. J. van Diepen , T. -K. Hsiao , U. Mukhopadhyay , C. Reichl , W. Wegscheider , L. M. K. Vandersypen

In conventional Bardeen-Cooper-Schrieffer (BCS) superconductors, electrons with opposite momenta bind into Cooper pairs due to an attractive interaction mediated by phonons in the material. While superconductivity naturally emerges at…

Simulating frustrated quantum magnets is among the most challenging tasks in computational physics. We apply String-Bond States, a recently introduced ansatz which combines Tensor Networks with Monte Carlo based methods, to the simulation…

Strongly Correlated Electrons · Physics 2010-07-08 Alessandro Sfondrini , Javier Cerrillo , Norbert Schuch , J. Ignacio Cirac

Amorphous solids, i.e., systems which feature well-defined short-range properties but lack long-range order, constitute an important research topic in condensed matter. While their microscopic structure is known to differ from their…

Quantum Gases · Physics 2024-08-23 Sergi Julià-Farré , Joseph Vovrosh , Alexandre Dauphin

The quantum compass model consists of a two-dimensional square spin lattice where the orientation of the spin-spin interactions depends on the spatial direction of the bonds. It has remarkable symmetry properties and the ground state shows…

Quantum Gases · Physics 2017-01-19 Samuel Fernandez-Lorenzo , Juan Jose Garcia-Ripoll , Diego Porras

For magnets with a fully frustrated inter-layer interaction, we argue that the quantum phase transitions from a paramagnetic to an antiferromagnetic ground state, driven by pressure or magnetic field, are asymptotically three-dimensional,…

Strongly Correlated Electrons · Physics 2007-11-08 Oliver Rösch , Matthias Vojta