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The purpose of this article is to present a detailed numerical study of the second-order phase transition in the 2D Ising model. The importance of correctly presenting elementary theory of phase transitions, computational algorithms and…

统计力学 · 物理学 2016-10-04 E. Ibarra-García-Padilla , C. G. Malanche-Flores , F. J. Poveda-Cuevas

This paper presents an efficient method for detecting entanglement in high-dimensional two-qudit states by mapping the Hilbert space onto the space of two qubits. This transformation enables the use of well-established two-qubit…

量子物理 · 物理学 2026-02-25 Josef Kadlec , Artur Barasiński , Karel Lemr

We analyse the properties across steady state phase transitions of two all-to-all driven-dissipative spin models that describe possible dynamics of N two-level systems inside an optical cavity. We show that the finite size behaviour around…

量子物理 · 物理学 2024-01-29 Diego Barberena , Ana Maria Rey

We investigate the critical behavior of the two-dimensional spin-$1$ Baxter-Wu model in the presence of a crystal-field coupling $\Delta$ with the goal of determining the universality class of transitions along the second-order part of the…

统计力学 · 物理学 2023-08-28 A. R. S. Macedo , A. Vasilopoulos , M. Akritidis , J. A. Plascak , N. G. Fytas , M. Weigel

We show that atoms in tilted optical superlattices provide a platform for exploring coupled spin chains of forms that are not present in other systems. In particular, using a period-2 superlattice in 1D, we show that coupled Ising spin…

By taking inspiration from the backflow transformation for correlated systems, we introduce a novel tensor network ansatz which extend the well-established Matrix Product State representation of a quantum-many body wave function. This new…

强关联电子 · 物理学 2022-08-31 Guglielmo Lami , Giuseppe Carleo , Mario Collura

Using a recently developed extension of the time-dependent variational principle for matrix product states, we evaluate the dynamics of 2D power-law interacting XXZ models, implementable in a variety of state-of-the-art experimental…

量子物理 · 物理学 2023-11-16 Sean R. Muleady , Mingru Yang , Steven R. White , Ana Maria Rey

Recent developments in analog quantum simulators based on cold atoms and trapped ions call for cross-validating the accuracy of quantum-simulation experiments with use of quantitative numerical methods; however, it is particularly…

量子气体 · 物理学 2022-03-23 Ryui Kaneko , Ippei Danshita

We present a method for calculating the full counting statistics of a nonequilibrium quantum system based on the propagator noncrossing approximation (NCA). This numerically inexpensive method can provide higher order cumulants for extended…

介观与纳米尺度物理 · 物理学 2021-04-07 André Erpenbeck , Emanuel Gull , Guy Cohen

Recovering properties of correlation functions is typically challenging. On one hand, experimentally, it requires measurements with a temporal resolution finer than the system's dynamics. On the other hand, analytical or numerical analysis…

量子物理 · 物理学 2025-07-14 Wojciech Górecki , Simone Felicetti , Lorenzo Maccone , Roberto Di Candia

We present a general framework for extracting conformal data from critical two-dimensional classical lattice models using finite-size tensor-network flow. The central idea is to identify, from transfer-matrix spectra, a self-consistent…

统计力学 · 物理学 2026-04-20 Sing-Hong Chan , Pochung Chen

In this paper we propose a special type of a tree tensor network that has the geometry of a comb---a 1D backbone with finite 1D teeth projecting out from it. This tensor network is designed to provide an effective description of higher…

强关联电子 · 物理学 2019-06-27 Natalia Chepiga , Steven R. White

We introduce a class of states of a composite quantum system, the so-called cross states, that turn out to play a major role in the theory of entanglement for a genuinely infinite-dimensional bipartite system. In the case where at least one…

数学物理 · 物理学 2026-02-23 Paolo Aniello

We present a new linked cluster expansion for calculating properties of multiparticle excitation spectra to high orders. We use it to obtain the two-particle spectra for systems of coupled spin-half dimers. We find that even for weakly…

强关联电子 · 物理学 2008-03-26 S. Trebst , H. Monien , C. J. Hamer , Z. Weihong , R. R. P. Singh

Tensor networks provide a useful tool to describe low-dimensional complex many-body systems. Finding efficient algorithms to use these methods for finite-temperature simulations in two dimensions is a continuing challenge. Here, we use the…

强关联电子 · 物理学 2023-05-09 Wilhelm Kadow , Frank Pollmann , Michael Knap

In this study, we computed three critical exponents ($\alpha, \beta, \gamma$) for the 3D Ising model with Metropolis Algorithm using Finite-Size Scaling Analysis on six cube length scales (L=20,30,40,60,80,90), and performed a supervised…

计算物理 · 物理学 2024-11-06 Timothy A. Burt

We study the crossover behaviors that can be observed in the high-temperature phase of three-dimensional dilute spin systems, using a field-theoretical approach. In particular, for randomly dilute Ising systems we consider the…

统计力学 · 物理学 2016-08-31 Pasquale Calabrese , Pietro Parruccini , Andrea Pelissetto , Ettore Vicari

We consider a prototypical system of an infinite range transverse field Ising model coupled to a bosonic bath. By integrating out the bosonic degrees, an effective anisotropic Heisenberg model is obtained for the spin system. The phase…

统计力学 · 物理学 2011-04-29 Subhasis Sinha , Sushanta Dattagupta

Quantum phase transitions (QPTs) in coherent Ising machines (CIMs) are studied via a spectral mapping between the one-dimensional XY spin model and a network of degenerate optical parametric oscillators (DOPOs). This exact correspondence…

量子物理 · 物理学 2025-12-30 Jing-Yi-Ran Jin , Shuang-Quan Ma , Qing Ai

We study the bipartite entanglement per bond to determine characteristic features of the phase diagram of various quantum spin models in different spatial dimensions. The bipartite entanglement is obtained from a tensor network…

量子物理 · 物理学 2016-07-07 B. Braiorr-Orrs , M. Weyrauch , M. V. Rakov