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Related papers: On the three state Potts model with competing inte…

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The two-dimensional $Q$-state Potts model with real couplings has a first-order transition for $Q>4$. We study a loop-model realization in which $Q$ is a continuous parameter. This model allows for the collision of a critical and a…

High Energy Physics - Theory · Physics 2024-09-20 Jesper Lykke Jacobsen , Kay Joerg Wiese

Inspired by the growing interest in probing many-body phases in novel two-dimensional lattice geometries we investigate the properties of cold atoms as they could be observed in an optical Lieb lattice. We begin by computing Wannier…

Quantum Gases · Physics 2021-08-12 Stuart Flannigan , Luisa Madail , Ricardo G. Dias , Andrew J. Daley

We study two-component fermions in optical lattices with spatially alternating on-site interactions using dynamical mean-field theory. Calculating the quasi-particle weight, double occupancy, and order parameters for each sublattice, we…

Strongly Correlated Electrons · Physics 2013-01-16 Akihisa Koga , Takamitsu Saitou , Atsushi Yamamoto

Boltzmann's microcanonical entropy is the link between statistical physics and thermodynamics, forasmuch as the behavior of any thermodynamic quantity is directly related to the number of microscopic configurations. Accordingly, in this…

Statistical Mechanics · Physics 2022-11-24 L. S. Ferreira , L. N. Jorge , C. J. DaSilva , A. A. Caparica

We consider the q=4 Potts model on the square lattice with an additional hard-core nonlocal interaction. That interaction arises from the choice of the reference measure taken to be the uniform measure on the recurrent configurations for…

Statistical Mechanics · Physics 2015-05-26 E. Dinaburg , C. Maes , S. Pirogov , F. Redig , A. Rybko

Based on the ladder dual-fermion approach, we present a comprehensive study of the phases of the isotropic Hubbard model on the triangular lattice. We find a rich phase diagram containing most of the phases that have already been…

Strongly Correlated Electrons · Physics 2014-05-07 Gang Li , Andrey E. Antipov , Alexey N. Rubtsov , Stefan Kirchner , Werner Hanke

The rapid progress in quantum technology enables the implementation of artificial many-body systems with correlated photons and polaritons. A multiconnected Jaynes-Cummings (MCJC) lattice can be constructed by connecting qubits and cavities…

Quantum Physics · Physics 2017-11-15 Jian Xue , Kangjun Seo , Lin Tian , Tao Xiang

We investigate the three-state antiferromagnetic Potts model on a simple cubic lattice with a cluster flipping Monte Carlo simulation algorithm in the temperature region below the transition into disorder at T_{c1}. We find both the well…

Condensed Matter · Physics 2009-10-28 Ralf K. Heilmann , Jian-Sheng Wang , Robert H. Swendsen

A new strongly correlated electron model is presented. This is formed by two types of sites: one where double occupancy is forbidden, as in the t-J model, and the other where double occupancy is allowed but vacancy is not allowed, as an…

Condensed Matter · Physics 2016-08-15 J. Abad , M. Ríos

We unveil the existence of two-particle bound state in the continuum (BIC) in a one-dimensional interacting nonreciprocal lattice with a generalized boundary condition. By applying the Bethe-ansatz method, we can exactly solve the…

Quantum Gases · Physics 2025-04-08 Yanxia Liu , Shu Chen

We consider the Curie-Weiss Potts model in zero external field under independent symmetric spin-flip dynamics. We investigate dynamical Gibbs-non-Gibbs transitions for a range of initial inverse temperatures beta<3, which covers the phase…

Probability · Mathematics 2021-08-18 Christof Kuelske , Daniel Meissner

We present a numerical study of the dynamics of a non-ideal fluid subject to a density-dependent pseudo-potential characterized by a hierarchy of nested attractive and repulsive interactions. It is shown that above a critical threshold of…

Soft Condensed Matter · Physics 2009-11-10 A. Lamura , S. Succi

The exact recursion relations are used to study the mixed half-integer spin-(3/2, 7/2) Blume-Capel Ising ferrimagnetic system on the Bethe lattice. Ground-state phase diagrams are computed in the $({D_{A}}/{q|J|}, {D_{B}}/{q|J|})$ plane to…

Statistical Mechanics · Physics 2024-12-31 M. Kake , S. I. V. Hontinfinde , M. Karimou , R. Houenou , E. Albayrak , R. A. A. Yessoufou , A. Kpadonou

We studied the long-term nonequilibrium dynamics of $q$-state Potts models with $q=4$, $5$, $6$, and $8$ using Monte Carlo simulations on a two-dimensional square lattice. When the contact energies between the nearest neighbors for the…

Statistical Mechanics · Physics 2025-09-15 Hiroshi Noguchi

An asymmetric generalization of the zero-temperature q-state Potts model on a one dimensional lattice, with and without boundaries, has been studied. The dynamics of the particle number, and specially the large time behavior of the system…

Condensed Matter · Physics 2009-11-07 N. Majd , A. Aghamohammadi , M. Khorrami

We pursue three-body bound states in a one-dimensional tight-binding lattice described by the Bose-Hubbard model with strong on-site interaction. Apart from the simple strongly-bound "trimer" state corresponding to all three particles…

Other Condensed Matter · Physics 2010-01-05 Manuel Valiente , David Petrosyan , Alejandro Saenz

Recoverable systems provide coarse models of data storage on the two-dimensional square lattice, where each site reconstructs its value from neighboring sites according to a specified local rule. To study the typical behavior of recoverable…

Combinatorics · Mathematics 2025-10-23 Geyang Wang , Alexander Barg , Navin Kashyap

We analyse the ground-state properties of three-body constrained bosons in a one dimensional optical lattice with staggered hoppings analogous to the double well optical lattice. By considering attractive and repulsive on-site interactions…

Quantum Gases · Physics 2019-07-31 Suman Mondal , Sebastian Greschner , Tapan Mishra

We analyze the problem of preparing quantum Gibbs states of lattice spin Hamiltonians with local and commuting terms on a quantum computer and in nature. Our central result is an equivalence between the behavior of correlations in the Gibbs…

Quantum Physics · Physics 2016-06-08 Michael J. Kastoryano , Fernando G. S. L. Brandao

In this paper, we consider the parameterization of the spectra of the three-state critical Potts quantum chain with integrable twisted boundary conditions in terms of Bethe ansatz type equations. The Bethe equations are found by…

Mathematical Physics · Physics 2026-02-23 M. J. Martins
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