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Ising model

About: Ising model is a research topic. Over the lifetime, 25508 publications have been published within this topic receiving 555000 citations.


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TL;DR: Evidence for a dynamical phase transition is found in Monte Carlo simulations of a two-dimensional Ising model in a sinusoidally oscillating external magnetic field, and the hysteresis loops are analyzed as a function of the amplitude and frequency of the applied field.
Abstract: We report the results of Monte Carlo simulations on a two-dimensional Ising model in a sinusoidally oscillating external magnetic field. We find evidence for a dynamical phase transition, supporting the results of recent mean-field and large-N analyses of this model. We also analyze the hysteresis loops as a function of the amplitude and frequency of the applied field, fitting our data to a proposed areal scaling law.

123 citations

Journal ArticleDOI
TL;DR: In this paper, a variational renormalization group (RG) approach based on a reversible generative model with hierarchical architecture is proposed, which performs hierarchical change-of-variables transformations from the physical space to a latent space with reduced mutual information.
Abstract: We present a variational renormalization group (RG) approach based on a reversible generative model with hierarchical architecture. The model performs hierarchical change-of-variables transformations from the physical space to a latent space with reduced mutual information. Conversely, the neural network directly maps independent Gaussian noises to physical configurations following the inverse RG flow. The model has an exact and tractable likelihood, which allows unbiased training and direct access to the renormalized energy function of the latent variables. To train the model, we employ probability density distillation for the bare energy function of the physical problem, in which the training loss provides a variational upper bound of the physical free energy. We demonstrate practical usage of the approach by identifying mutually independent collective variables of the Ising model and performing accelerated hybrid Monte Carlo sampling in the latent space. Lastly, we comment on the connection of the present approach to the wavelet formulation of RG and the modern pursuit of information preserving RG.

123 citations

Journal ArticleDOI
TL;DR: A tensor network method is presented that can find the steady state of 2D driven-dissipative many-body models, based on the intuition that strong dissipation kills quantum entanglement before it gets too large to handle.
Abstract: Understanding dissipation in 2D quantum many-body systems is an open challenge which has proven remarkably difficult. Here we show how numerical simulations for this problem are possible by means of a tensor network algorithm that approximates steady states of 2D quantum lattice dissipative systems in the thermodynamic limit. Our method is based on the intuition that strong dissipation kills quantum entanglement before it gets too large to handle. We test its validity by simulating a dissipative quantum Ising model, relevant for dissipative systems of interacting Rydberg atoms, and benchmark our simulations with a variational algorithm based on product and correlated states. Our results support the existence of a first order transition in this model, with no bistable region. We also simulate a dissipative spin 1/2 XYZ model, showing that there is no re-entrance of the ferromagnetic phase. Our method enables the computation of steady states in 2D quantum lattice systems.

123 citations

Journal ArticleDOI
TL;DR: The factorizable S -matrix with Z (N ) symmetry was constructed in this paper, and it is speculated that the field theory belonging to this S-matrix matrix is related to the scaling limit of Z ( N ) generalizations of the Ising model.

123 citations

Journal ArticleDOI
TL;DR: In this article, the authors employ the concept of a dynamical, activity order parameter to study the Ising model in a transverse magnetic field coupled to a Markovian bath, and demonstrate that dynamical phase coexistence becomes manifest in an intermittent behavior of the bath quanta emission.
Abstract: We employ the concept of a dynamical, activity order parameter to study the Ising model in a transverse magnetic field coupled to a Markovian bath. For a certain range of values of the spin-spin coupling, magnetic field, and dissipation rate, we identify a first-order dynamical phase transition between active and inactive dynamical phases. We demonstrate that dynamical phase coexistence becomes manifest in an intermittent behavior of the bath quanta emission. Moreover, we establish the connection between the dynamical order parameter that quantifies the activity and the longitudinal magnetization that serves as static order parameter. The system that we consider can be implemented in current experiments with Rydberg atoms and trapped ions.

123 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023682
20221,314
2021854
2020947
2019870
2018844