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In simulations of some infinite range spin glass systems with finite connectivity, it is found that for any resonable computational time, the saturatedenergy per spin that is achieved by a cluster algorithm is lowered in comparison to that…

Condensed Matter · Physics 2016-08-31 N. Persky , I. Kanter , S. Solomon

We consider integrable models of the Haldane-Shastry type with open boundary conditions. We define monodromy matrices, obeying the reflection equation, which generate the symmetries of these models. Using a map to the Calogero-Sutherland…

High Energy Physics - Theory · Physics 2023-04-10 D. Bernard. V. Pasquier , D. Serban

We reconsider the moments of the reduced density matrix of two disjoint intervals and of its partial transpose with respect to one interval for critical free fermionic lattice models. It is known that these matrices are sums of either two…

Statistical Mechanics · Physics 2016-06-21 Andrea Coser , Erik Tonni , Pasquale Calabrese

Quantum link models are extensions of Wilson-type lattice gauge theories which realize exact gauge invariance with finite-dimensional Hilbert spaces. Quantum link models not only reproduce the standard features of Wilson's lattice gauge…

Strongly Correlated Electrons · Physics 2019-07-03 Yi-Ping Huang , Debasish Banerjee , Markus Heyl

We study analytically and numerically a Hopfield fully-connected network with $d$-dimensional vector spins. These networks are models of associative memory that generalize the standard Hopfield with Ising spins, where $P$ examples are…

Disordered Systems and Neural Networks · Physics 2026-02-17 Flavio Nicoletti , Francesco D'Amico , Matteo Negri

A comprehensive and detailed account is presented for the finite-temperature many-body perturbation theory for electrons that expands in power series all thermodynamic functions on an equal footing. Algebraic recursions in the style of the…

Statistical Mechanics · Physics 2021-09-21 So Hirata

We show that stochastic resetting may lead to finite entanglement between individual, spatially separated spins (pairwise entanglement) in the steady state of the spin chains driven periodically with frequency $\omega_D$. We find the…

Quantum Physics · Physics 2026-04-22 Sinchan Ghosh , Manas Kulkarni , K. Sengupta , Satya N. Majumdar

We describe a random matrix approach that can provide generic and readily soluble mean-field descriptions of the phase diagram for a variety of systems ranging from QCD to high-T_c materials. Instead of working from specific models, phase…

High Energy Physics - Phenomenology · Physics 2015-05-28 Benoit Vanderheyden , A D Jackson

The statistical mechanics of a two-state Ising spin-glass model with finite random connectivity, in which each site is connected to a finite number of other sites, is extended in this work within the replica technique to study the phase…

Statistical Mechanics · Physics 2011-06-20 R. Erichsen , W. K. Theumann

In this paper we study the exact solution of a one-dimensional model of spin-$\frac{1}{2}$ electrons composed by a nearest-neighbor triplet pairing term and the on-site Hubbard interaction. We argue that this model admits a Bethe ansatz…

Mathematical Physics · Physics 2020-08-26 M. J. Martins

In spin-orbit-coupled systems the charge and spin transport are generally coupled to each other, namely a charge current will induce a spin current and vice versa. In the presence of time-reversal symmetry $T$, the cross-coupling transport…

Quantum Gases · Physics 2025-12-04 Guan-Hua Huang , Hui Tang , Shizhong Zhang , Zhongbo Yan , Zhigang Wu

The matching problem is a notorious combinatorial optimization problem that has attracted for many years the attention of the statistical physics community. Here we analyze the Euclidean version of the problem, i.e. the optimal matching…

Disordered Systems and Neural Networks · Physics 2017-01-11 Carlo Lucibello , Giorgio Parisi , Gabriele Sicuro

In the framework of a multiorbital Hubbard model description of superconductivity, a matrix formulation of the superconducting pairing interaction that has been widely used is designed to treat spin, charge and orbital fluctuations within a…

We introduce a spin-symmetry-broken extension of the connected determinant algorithm [Phys. Rev. Lett. 119, 045701 (2017)]. The resulting systematic perturbative expansions around an antiferromagnetic state allow for numerically exact…

Strongly Correlated Electrons · Physics 2024-06-18 R. Garioud , F. Šimkovic , R. Rossi , G. Spada , T. Schäfer , F. Werner , M. Ferrero

By using the properties of orthogonal polynomials, we present an exact unitary transformation that maps the Hamiltonian of a quantum system coupled linearly to a continuum of bosonic or fermionic modes to a Hamiltonian that describes a…

Quantum Physics · Physics 2010-10-04 Alex W. Chin , Ángel Rivas , Susana F. Huelga , Martin B. Plenio

By using random matrix models we uncover a connection between the low energy sector of four dimensional QCD at finite volume and the Heisenberg XX model in a 1d spin chain. This connection allows to relate crucial properties of QCD with…

Strongly Correlated Electrons · Physics 2014-06-23 David Pérez-García , Miguel Tierz

We present a variety of results analyzing the behavior of a class of stochastic processes --- referred to as Stochastic Hybrid Systems (SHSs) --- in or near equilibrium, and determine general conditions on when the moments of the process…

Dynamical Systems · Mathematics 2014-11-25 Lee DeVille , Sairaj Dhople , Alejandro Dominguez-Garcia , Jiangmeng Zhang

We obtain the ground-state phase diagram of two spin chains consisting in a set two-level systems asymmetrically coupled to an XX chain through a chiral interaction. The interaction is parametrized by its magnitude and an angle defined by…

Quantum Physics · Physics 2026-01-13 Rafael D. Soares , J. M. Viana Parente Lopes , Hugo Terças

We investigate spatial reflection and associated nonlocal order in spin chain quantum systems. The proposed string order parameters, e.g., reflected via operations of the spatial reflection or combinations of it with spin reflection, are…

Strongly Correlated Electrons · Physics 2015-05-13 Li-Xiang Cen

In this paper we study a novel spin chain with nearest-neighbors interactions depending on the sites coordinates, which in some sense is intermediate between the Heisenberg chain and the spin chains of Haldane-Shastry type. We show that…

High Energy Physics - Theory · Physics 2008-11-26 A. Enciso , F. Finkel , A. Gonzalez-Lopez , M. A. Rodriguez
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