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We study the phase diagram of a quasi-two dimensional magnetic system ${\rm Rb_2MnF_4}$ with Monte Carlo simulations of a classical Heisenberg spin Hamiltonian which includes the dipolar interactions between ${\rm Mn}^{2+}$ spins. Our…

Statistical Mechanics · Physics 2009-11-13 Chenggang Zhou , D. P. Landau , T. C. Schulthess

Rydberg atoms with dipole-dipole interactions provide intriguing platforms to explore exotic quantum many-body physics. Here we propose a novel scheme with laser-assisted dipole-dipole interactions to realize synthetic magnetic field for…

Mesoscale and Nanoscale Physics · Physics 2022-08-09 Tian-Hua Yang , Bao-Zong Wang , Xin-Chi Zhou , Xiong-Jun Liu

We consider large spin systems with short-range ferromagnetic interactions and long-range antiferromagnetic interactions subjected to periodic boundary conditions which have been proved by Giuliani, Lebowitz and Lieb to have minimizers that…

Analysis of PDEs · Mathematics 2025-03-21 Andrea Braides , Fabrizio Caragiulo

Using Monte Carlo simulations, we study the critical behavior of two models of frustrated XY antiferromagnets with a collinear spin ordering and with an additional twofold degeneracy of the ground state. We consider a classic…

Strongly Correlated Electrons · Physics 2020-04-03 A. O. Sorokin

We investigate a one-dimensional atomic lattice laser-driven to a Rydberg state, in which engineered dissipation channels lead to entanglement in the many-body system. In particular, we demonstrate the efficient generation of ground states…

Quantum Physics · Physics 2016-11-30 Maryam Roghani , Hendrik Weimer

Quantum Monte Carlo simulations are used to study the magnetic and transport properties of the Hubbard Model, and its strong coupling Heisenberg limit, on a one-third depleted square lattice. This is the geometry occupied, after charge…

Strongly Correlated Electrons · Physics 2017-01-25 H. -M. Guo , T. Mendes-Santos , W. E. Pickett , R. T. Scalettar

We examine the adiabatic preparation of spatially-ordered Rydberg excitations of atoms in finite one-dimensional lattices by frequency-chirped laser pulses, as realized in a number of recent experiments simulating quantum Ising model. Our…

Quantum Physics · Physics 2022-12-13 A. F. Tzortzakakis , D. Petrosyan , M. Fleischhauer , K. Mølmer

The quantum dimer and loop models attract great attentions, partially because the fundamental importance in the phases and phase transitions emerging in these prototypical constrained systems, and partially due to their intimate relevance…

Strongly Correlated Electrons · Physics 2023-05-31 Xiaoxue Ran , Zheng Yan , Yan-Cheng Wang , Junchen Rong , Yang Qi , Zi Yang Meng

We study a system of atoms that are laser-driven to $nD_{3/2}$ Rydberg states and assess how accurately they can be mapped onto spin-$1/2$ particles for the quantum simulation of anisotropic Ising magnets. Using non-perturbative…

The collective excitations in ensembles of dissipative, laser driven ultracold atoms exhibit crystal-like patterns, a many-body effect of the Rydberg blockade mechanism. These crystalline structure are revealed in experiment from a…

Quantum Gases · Physics 2015-10-28 Wolfgang Lechner , Peter Zoller

Experiments on chains of Rydberg atoms appear as a new playground to study quantum phase transitions in 1D. As a natural extension, we report a quantitative ground-state phase diagram of Rydberg atoms arranged in a two-leg ladder that…

Quantum Gases · Physics 2025-04-11 Jose Soto , Natalia Chepiga

In the corner-sharing lattice, magnetic frustration causes macroscopic degeneracy in the ground state, which prevents systems from ordering. However, if the ensemble of the degenerate configuration has some global structure, the system can…

Statistical Mechanics · Physics 2007-09-25 Shu Tanaka , Seiji Miyashita

The effects of locally random magnetic fields are considered in a nonequilibrium Ising model defined on a square lattice with nearest-neighbors interactions. In order to generate the random magnetic fields, we have considered random…

Statistical Mechanics · Physics 2009-11-13 N. Crokidakis

The triangular lattice antiferromagnet with $S=1/2$ spins and nearest neighbor interactions is known to have long-range antiferromagnetic order, with nearest-neighbor spins at an angle of 120 degrees. Numerical studies of quantum phases…

Strongly Correlated Electrons · Physics 2025-09-09 Leyna Shackleton , Subir Sachdev

We study thermodynamic properties of an antiferromagnetic Ising model on the inverse perovskite lattice by using Monte Carlo simulations. The lattice structure is composed of corner-sharing octahedra and contains three-dimensional…

Statistical Mechanics · Physics 2007-05-23 Daisuke Tahara , Yukitoshi Motome , Masatoshi Imada

The antiferromagnetic Heisenberg model on an anisotropic kagome lattice may be a good minimal model for real magnetic systems as well as a limit from which the isotropic case can be better understood. We therefore study the nearest-neighbor…

Strongly Correlated Electrons · Physics 2009-08-05 E. M. Stoudenmire , Leon Balents

The ability to control and tune interactions in ultracold atomic gases has paved the way towards the realization of new phases of matter. Whereas experiments have so far achieved a high degree of control over short-ranged interactions, the…

We investigate the influence of long-range (LR) interactions on the phase ordering dynamics of the one-dimensional random field Ising model (RFIM). Unlike the usual RFIM, a spin interacts with all other spins through a ferromagnetic…

Statistical Mechanics · Physics 2023-10-25 Ramgopal Agrawal , Federico Corberi , Eugenio Lippiello , Sanjay Puri

We describe the zero-temperature phase diagram of a model of a two-dimensional square-lattice array of neutral atoms, excited into Rydberg states and interacting via strong van der Waals interactions. Using the density-matrix…

Strongly Correlated Electrons · Physics 2020-03-11 Rhine Samajdar , Wen Wei Ho , Hannes Pichler , Mikhail D. Lukin , Subir Sachdev

The dynamic phase transitions have been studied, within a mean-field approach, in the kinetic spin-1 Ising model Hamiltonian with arbitrary bilinear and biquadratic pair interactions in the presence of a time varying (sinusoidal) magnetic…

Statistical Mechanics · Physics 2009-11-11 Mustafa Keskin , Osman Canko , Ersin Kantar