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We study the thermodynamic properties of spin systems on small-world hypergraphs, obtained by superimposing sparse Poisson random graphs with p-spin interactions onto a one-dimensional Ising chain with nearest-neighbor interactions. We use…

Disordered Systems and Neural Networks · Physics 2009-11-11 D. Bolle , R. Heylen , N. S. Skantzos

The paper investigates a systematic approach to modeling in nonequilibrium thermodynamics by focusing upon the notion of interconnections, where we propose a novel Lagrangian variational formulation of such interconnected systems by…

Statistical Mechanics · Physics 2023-06-22 François Gay-Balmaz , Hiroaki Yoshimura

We have composed the ideas of quantum renormalization group and quantum information by exploring the low energy states dynamic of entanglement resources of a system close to its quantum critical point. We demonstrate the low energy states…

Quantum Physics · Physics 2010-11-25 R. Jafari

Recent advances in the field of strongly correlated electron systems allow to access the entanglement properties of interacting fermionic models, by means of Monte Carlo simulations. We briefly review the techniques used in this context to…

Statistical Mechanics · Physics 2019-04-12 Francesco Parisen Toldin , Fakher F. Assaad

Many real systems such as, roads, shipping routes, and infrastructure systems can be modeled based on spatially embedded networks. The inter-links between two distant spatial networks, such as those formed by transcontinental airline…

Physics and Society · Physics 2018-09-26 Jingfang Fan , Gaogao Dong , Louis M. Shekhtman , Dong Zhou , Jun Meng , Xiaosong Chen , Shlomo Havlin

We develop efficient ways to consider and correct for the effects of hidden units for the paradigmatic case of the inverse kinetic Ising model with fully asymmetric couplings. We identify two sources of error in reconstructing the…

Disordered Systems and Neural Networks · Physics 2017-04-05 Benjamin Dunn , Claudia Battistin

With increasing subsystem size and energy, bipartite entanglement entropies of energy eigenstates cross over from the groundstate scaling to a volume law. In previous work, we pointed out that, when strong or weak eigenstate thermalization…

Statistical Mechanics · Physics 2022-02-09 Qiang Miao , Thomas Barthel

Coupled Ising models are studied in a discrete choice theory framework, where they can be understood to represent interdependent choice making processes for homogeneous populations under social influence. Two different coupling schemes are…

Physics and Society · Physics 2020-03-10 Ana Fernández del Río , Elka Korutcheva , Javier de la Rubia

The thermodynamic framework of repeated interactions is generalized to an arbitrary open quantum system in contact with a heat bath. Based on these findings the theory is then extended to arbitrary measurements performed on the system. This…

Quantum Physics · Physics 2019-11-04 Philipp Strasberg

The mixed spin-1/2 and spin-S Ising model on a decorated planar lattice accounting for lattice vibrations of decorating atoms is treated by making use of the canonical coordinate transformation, the decoration-iteration transformation, and…

Statistical Mechanics · Physics 2018-11-19 Jozef Strecka , Matus Rebic , Onofre Rojas , Sergio Martins de Souza

We investigate thermodynamic phase transitions of the joint presence of spin glass (SG) and random field (RF) using a random graph model that allows us to deal with the quenched disorder. Therefore, the connectivity becomes a controllable…

Disordered Systems and Neural Networks · Physics 2021-02-24 R. Erichsen , A. Silveira , S. G. Magalhaes

We show the existence of fragile-to-strong transitions in kinetically constrained systems by studying the equilibrium and out-of-equilibrium dynamics of a generic constrained Ising spin chain which interpolates between the symmetric and…

Statistical Mechanics · Physics 2009-11-07 Arnaud Buhot , Juan P. Garrahan

Ultra-cold alkali atoms trapped in two distinct hyperfine states in an external magnetic field can mimic magnetic systems of spin 1/2 particles. We describe the spin-dependent effective interaction as a spin-spin interaction. As a…

Statistical Mechanics · Physics 2011-11-09 D. H. Santamore , Eddy Timmermans

The origin of thermal and quantum entanglement in a class of three-dimensional spin models, at low momenta, is traced to purely topological reasons. The establishment of the result is facilitated by the gauge principle which, when used in…

High Energy Physics - Theory · Physics 2010-10-27 V. V. Sreedhar

We consider the critical and off-critical properties at the boundary of the random transverse-field Ising spin chain when the distribution of the couplings and/or transverse fields, at a distance $l$ from the surface, deviates from its…

Statistical Mechanics · Physics 2016-08-15 Dragi Karevski , Róbert Juhász , Loïc Turban , Ferenc Iglói

An exhaustive ground-state analysis of extended two-dimensional (2D) correlated spin-electron model consisting of the Ising spins localized on nodal lattice sites and mobile electrons delocalized over pairs of decorating sites is performed…

Strongly Correlated Electrons · Physics 2018-05-23 Hana Čenčariková , Jozef Strečka , Andrej Gendiar , Natália Tomašovičová

In this paper the exact solution and correlation functions for a double-chain Ising model with multi-spin interactions and symmetric Hamiltonian density are obtained. The study employs the transfer matrix method to derive fundamental…

Statistical Mechanics · Physics 2025-11-21 Pavel Khrapov , Stepan Shchurenkov

A rigorous proof is presented of the boundedness of the entanglement entropy of a block of spins for the ground state of the one-dimensional quantum Ising model with sufficiently strong transverse field. This is proved by a refinement of…

Quantum Physics · Physics 2020-01-08 Geoffrey Grimmett , Tobias Osborne , Petra Scudo

At zero temperature, the classical antiferromagnetic Ising model on the pyrochlore lattice is a spin disorder phase of the critical spin correlation. It is a deconfined phase in that the binding energy of the monopole-anti-monopole pair is…

Strongly Correlated Electrons · Physics 2010-08-30 Chyh-Hong Chern , Chen-Nan Liao , Yang-Zhi Chou

We present a model to probe metamagnetic properties in systems with an arbitrary number of interacting spins. Thermodynamic properties such as the magnetization per particle $m(B,T,N)$, linear susceptibility $\chi_1(T)$, nonlinear…

Statistical Mechanics · Physics 2018-08-15 Pradeep Kumar , Christopher E. Wagner