Article
Mathematics, Applied
Farhod Haydarov, Utkir Rozikov
Summary: In this paper, we provide a specific condition for (non-normal) subgroups of the group representation of Cayley trees in order to establish an invariance property. Besides the given condition, we demonstrate that the invariance property does not hold. In other words, we have introduced a new direction for the theory of periodic and weakly periodic Gibbs measures corresponding to subgroups of the group representation of Cayley trees. We apply our results to the Ising model.
RESULTS IN MATHEMATICS
(2022)
Article
Physics, Multidisciplinary
Nathanan Tantivasadakarn, Ashvin Vishwanath
Summary: Recent research has shown that clusterlike states can be used for measurement-based quantum computation and can be prepared in finite time while maintaining symmetry. By providing a Hamiltonian in higher dimensions, it was demonstrated that projective measurements along with feed-forward correction can recover the clusterlike state even in the presence of unwanted symmetric perturbations.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Fluids & Plasmas
Kathakali Biswas, Parongama Sen
Summary: We investigate the nonequilibrium dynamics of a three-state kinetic exchange model of opinion formation, where switches between extreme states are possible, depending on the value of a parameter q. For q = 1, a quasiconservation in the dynamics is obtained which renders it equivalent to the voter model. For general q values, a frozen disordered fixed point is obtained which acts as an attractor for all initially disordered states. The results are compared with the nonequilibrium phenomena in other well-known dynamical systems.
Article
Physics, Fluids & Plasmas
Damien Paul Foster, Debjyoti Majumdar
Summary: This study focuses on the critical behavior of lattice models of polymers with monomers carrying a magnetic moment, showing a first-order character of both magnetic transition and polymer collapse in three dimensions, while a continuous transition is observed in two dimensions. Finite-size scaling is used to estimate critical exponents and transition temperature in the absence of an external magnetic field.
Article
Physics, Multidisciplinary
Yueshui Zhang, Anton Hulsch, Hua-Chen Zhang, Wei Tang, Lei Wang, Hong-Hao Tu
Summary: We demonstrate that the Klein bottle entropy in conformal field theories perturbed by relevant operators is a universal function of the dimensionless coupling constant. This universal scaling of the Klein bottle entropy near criticality can be used to efficiently determine the scaling dimension of lattice operators through data collapse. By employing numerical simulations with the continuous matrix product operator approach, we validate the universal scaling of the Klein bottle entropy for Ising and Z3 parafermion conformal field theories with various perturbations.
PHYSICAL REVIEW LETTERS
(2023)
Article
Multidisciplinary Sciences
V. Borghesani, J. Armoza, M. N. Hebart, P. Bellec, S. M. Brambati
Summary: Word processing involves the retrieval of a unified and multidimensional semantic representation, which has been studied in cognitive neuroscience and artificial intelligence. The development of appropriate benchmarks is crucial for comparing human and artificial semantic representations and for computational modeling of human understanding using natural language processing (NLP). In this study, we present a dataset that probes semantic knowledge using a three-terms semantic associative task and includes both abstract and concrete nouns. This dataset, which includes behavioral similarity judgments from human raters, serves as a valuable benchmark for investigating semantic knowledge computationally and neuroscientifically.
Article
Materials Science, Multidisciplinary
Francisco C. Alcaraz, Jose A. Hoyos, Rodrigo A. Pimenta
Summary: In this study, a numerical method for evaluating mass gaps and low-lying energy gaps of free-fermionic and free-parafermionic quantum chains is proposed, and its effectiveness is demonstrated through examples involving Ising quantum chains with uniform and random coupling constants. The use of the Laguerre bound as an initial guess for the largest root in the method is shown to provide accurate estimates for mass gaps sharing similar finite-size behavior as exact results. Additionally, the method is compared with the strong-disorder renormalization-group method in terms of computational efficiency and accuracy.
Article
Physics, Multidisciplinary
Hasan Akin
Summary: This paper focuses on the Ising-Vannimenus model on a Cayley tree of order three. The authors propose an efficient approach to calculate the explicit formulas for the free energies and entropies corresponding to various boundary conditions, including compatible and translation-invariant conditions.
CHINESE JOURNAL OF PHYSICS
(2022)
Article
Astronomy & Astrophysics
Yuya Kusuki
Summary: This article introduces the concept and application of reflected entropy in BCFT/ICFT. By studying the relationship between the left-right reflected entropy and the entanglement wedge cross section, we demonstrate its universal behavior in different field theories.
Article
Physics, Fluids & Plasmas
Francisco C. Alcaraz, Rodrigo A. Pimenta
Summary: The relationship between the eigenspectrum of Ising and XY quantum chains is well understood in terms of freefermionic quasiparticles. A new family of XY models with N-multispin interactions is introduced in this paper, where the eigenspectra are given in terms of combinations of Z(N) free-parafermionic quasienergies. The correspondence between Z(N) free-parafermionic models and related XY models is established through the identification of characteristic polynomials.
Article
Multidisciplinary Sciences
Alejandro Lopez-Bezanilla, Cristiano Nisoli
Summary: This research successfully reproduced the formation of magnetic phases driven by an external magnetic field in a quantum annealer by embedding a qubit magnetic Penrose quasicrystal. It distinguished a wide range of frustrated magnetic configurations at the single-spin scale, demonstrating that introducing structural aperiodicity in magnetic devices can enable the engineering of quantum states. The results also revealed dynamic activation of some spins and static behavior of others within the competing structural and magnetic degrees of freedom, with compatible ferromagnetic and ferrimagnetic modulations observed.
Article
Multidisciplinary Sciences
Alec Kirkley, George T. Cantwell, M. E. J. Newman
Summary: Belief propagation is a widely used message passing method for probabilistic models on networks, but it struggles with short loops. This study proposes a solution to this issue, providing a method for fast calculation of probability distributions in systems with short loops. Results using the Ising model show significant improvements over standard message passing methods, with potential applications to various other problems.
Article
Physics, Multidisciplinary
Francisco Sastre
Summary: In this study, a new numerical method was proposed to evaluate the critical point, susceptibility critical exponent, and correlation length critical exponent of the three dimensional Ising model without external field. The results are in good agreement with previously reported values.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Physics, Multidisciplinary
Massimo Ostilli, Carlo Presilla
Summary: We studied the ground state of spinless electrons interacting through a screened Coulomb potential in a lattice ring and found a first-order quantum phase transition. The critical value r(sc) and its lower and upper bounds are determined analytically, with Monte Carlo simulations estimating r(sc) to be around 2.3 at certain lattice parameters. Removal of screening leads r(sc) to tend towards zero, contrasting with the smooth crossover seen in unscreened Coulomb potential cases.
PHYSICAL REVIEW LETTERS
(2021)
Article
Materials Science, Multidisciplinary
Haining Pan, Sankar Das Sarma
Summary: Motivated by the presence of Majorana zero modes in both the Kitaev chain model and the experimental semiconductor-superconductor Majorana nanowire, this theoretical study investigates the equivalence or similarity between the two models from the perspective of their corresponding dual spin models. By using the Jordan-Wigner transformation, the duality between the Kitaev chain and the transverse-field XY spin model is established, aiming to connect the Kitaev chain and the nanowire. The application of the Jordan-Wigner transformation to the nanowire reveals that the corresponding bosonic spin model is a generalized spin cluster model with staggered couplings. By projecting out the higher energy band of the spinful nanowire system, an effective low-energy spinless system is obtained, leading to the connection between the Kitaev chain and Majorana nanowire.
Article
Mathematics, Interdisciplinary Applications
M. Marsman, D. Borsboom, J. Kruis, S. Epskamp, R. van Bork, J. Waldorp, H. L. J. van der Maas, G. Maris
MULTIVARIATE BEHAVIORAL RESEARCH
(2018)
Article
Multidisciplinary Sciences
Sacha Epskamp, Joost Kruis, Maarten Marsman
Article
Mathematics, Interdisciplinary Applications
Riet van Bork, Mijke Rhemtulla, Lourens J. Waldorp, Joost Kruis, Shirin Rezvanifar, Denny Borsboom
Summary: Network models and latent variable models represent psychological constructs differently, and their mathematical equivalences do not imply equal plausibility; the constraints and interpretations in one framework may not have clear translations in the equivalent model of the other framework.
MULTIVARIATE BEHAVIORAL RESEARCH
(2021)
Book Review
Mathematics, Interdisciplinary Applications
Joost Kruis, Denny Borsboom
Article
Multidisciplinary Sciences
Joost Kruis, Gunter Maris, Maarten Marsman, Maria Bolsinova, Han L. J. van der Maas
SCIENTIFIC REPORTS
(2020)
