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We study a driven-dissipative model of spins one-half (qubits) on a lattice with nearest-neighbor interactions. Focusing on the role of spatially extended spin-spin correlations in determining the phases of the system, we characterize the…

量子物理 · 物理学 2020-08-12 Haggai Landa , Marco Schiró , Grégoire Misguich

We use Monte Carlo simulations and tensor network methods to study a classical monomer-dimer model on the square lattice with a hole (monomer) fugacity $z$, an aligning dimer-dimer interaction $u$ that favors columnar order, and an…

统计力学 · 物理学 2023-10-24 Satoshi Morita , Hyun-Yong Lee , Kedar Damle , Naoki Kawashima

We apply the microscopic coupled-cluster method (CCM) to the spin-$1\over2$ $XXZ$ models on both the one-dimensional chain and the two-dimensional square lattice. Based on a systematic approximation scheme of the CCM developed by us…

凝聚态物理 · 物理学 2017-08-24 R. F. Bishop , R. G. Hale , Y. Xian

The need to calibrate increasingly complex statistical models requires a persistent effort for further advances on available, computationally intensive Monte Carlo methods. We study here an advanced version of familiar Markov Chain Monte…

统计方法学 · 统计学 2015-03-20 Alexandros Beskos , Konstantinos Kalogeropoulos , Erik Pazos

Recently, Velazquez and Curilef have proposed a methodology to extend Monte Carlo algorithms based on canonical ensemble, which is aimed to overcome slow sampling problems associated with temperature-driven discontinuous phase transitions.…

统计力学 · 物理学 2013-07-31 L. Velazquez , J. C. Castro-Palacio

Monte Carlo simulations are methods for simulating statistical systems. The aim is to generate a representative ensemble of configurations to access thermodynamical quantities without the need to solve the system analytically or to perform…

统计力学 · 物理学 2015-06-19 Jean-Charles Walter , Gerard Barkema

We propose a method for simulating the stochastic dynamics of classical spin systems with long-range interactions. The method incorporates the stochastic cutoff (SCO) method, which is originally specialized for simulating equilibrium state,…

统计力学 · 物理学 2019-12-09 Taichi Hinokihara , Yuta Okuyama , Munetaka Sasaki , Seiji Miyashita

We consider a zero-temperature one-dimensional system of bosons interacting via the soft-shoulder potential in the continuum, typical of dressed Rydberg gases. We employ quantum Monte Carlo simulations, which allow for the exact calculation…

The phase diagram of the $\mathbb{Z}(5)$ spin model is studied numerically on the square lattice by means of the {\sl Density Matrix Renormalization Group}. In the regime where the two nearest-neighbor couplings have opposite signs, a…

统计力学 · 物理学 2016-08-24 Christophe Chatelain

Monte Carlo simulations are useful tools for modeling quantum systems, but in some cases they suffer from a sign problem, leading to an exponential slow down in their convergence to a value. While solving the sign problem is generically…

量子物理 · 物理学 2022-12-21 T. C. Mooney , Jacob Bringewatt , Neill C. Warrington , Lucas T. Brady

We investigate the steady-state phases of the dissipative spin-1/2 $J_1$-$J_2$ XYZ model on a two-dimensional square lattice. We show the next-nearest-neighboring interaction plays a crucial role in determining the steady-state properties.…

统计力学 · 物理学 2021-10-22 Xingli Li , Yan Li , Jiasen Jin

Large-scale Monte Carlo simulations, together with scaling, are used to obtain the critical behavior of the Hastings long-range model and two corresponding models based on small-world networks. These models have combined short- and…

材料科学 · 物理学 2007-05-23 X. Zhang , M. A. Novotny

Thermodynamics of dissipative quantum systems with double-well potentials is studied by the path-integral Monte Carlo (PIMC) method without truncation to the two-state model. For efficient simulation at low temperatures, we develop a new…

统计力学 · 物理学 2007-05-23 Takeshi Matsuo , Yuhei Natsume , Takeo Kato

We present extensive Monte Carlo simulations on a two-dimensional XY model with a modified form of interaction potential. Thermodynamic quantities other than energy, specific heat etc (such as magnetization, susceptibility, fourth order…

统计力学 · 物理学 2013-05-24 Suman Sinha

Monte Carlo studies involving real time dynamics are severely restricted by the sign problem that emerges from highly oscillatory phase of the path integral. In this letter, we present a new method to compute real time quantities on the…

高能物理 - 格点 · 物理学 2016-08-24 Andrei Alexandru , Gokce Basar , Paulo F. Bedaque , Sohan Vartak , Neill C. Warrington

We present quantum Monte Carlo simulations for the chiral Heisenberg Gross-Neveu-Yukawa quantum phase transition of relativistic fermions with $N=4$ Dirac spinor components subject to a repulsive, local four fermion interaction in 2+1$d$.…

强关联电子 · 物理学 2019-10-02 Thomas C. Lang , Andreas M. Läuchli

We use the Fortuin-Kasteleyn representation based improved estimator of the correlation configuration as an alternative to the ordinary correlation configuration in the machine-learning study of the phase classification of spin models. The…

统计力学 · 物理学 2020-08-14 Yusuke Tomita , Kenta Shiina , Yutaka Okabe , Hwee Kuan Lee

By means of the recently proposed algorithm based on the tensor product states, the magnetization process of the spin-1/2 anti-ferromagnetic XXZ model on a square lattice is investigated. In the large spin-anisotropy limit, clear evidence…

强关联电子 · 物理学 2009-10-05 Pochung Chen , Chen-Yen Lai , Min-Fong Yang

By using the variational Monte Carlo technique, we study the spin-$1/2$ XXZ antiferromagnetic model (with easy-plane anisotropy) on the kagome lattice. A class of Gutzwiller projected fermionic states with a spin Jastrow factor is…

强关联电子 · 物理学 2015-11-18 Wen-Jun Hu , Shou-Shu Gong , Federico Becca , D. N. Sheng

The dipolar universality class describes the phase transition in 3D ferromagnets with strong dipolar interactions, as first discussed by Aharony and Fisher in the 1970s. While this universality class has been studied theoretically using…

高能物理 - 理论 · 物理学 2026-05-13 Akira Matsumoto , Yu Nakayama , Toshiki Onagi , Slava Rychkov