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The study of the scaling limit of two-dimensional models of statistical mechanics within the framework of integrable field theory is illustrated through the example of the RSOS models. Starting from the exact description of regime III in…

高能物理 - 理论 · 物理学 2009-10-31 G. Delfino

We consider a measure given as the continuum limit of a one-dimensional Ising model with long-range translationally invariant interactions. Mathematically, the measure can be described by a self-interacting Poisson driven jump process. We…

数学物理 · 物理学 2022-01-20 David Hasler , Benjamin Hinrichs , Oliver Siebert

Correlation functions play an important role for the theoretical and experimental characterization of many-body systems. In solid-state systems, they are usually determined through scattering experiments whereas in cold-gases systems,…

We derive algebraic formulas for the density matrices of finite segments of the integrable su(2) isotropic spin-1 chain in the thermodynamic limit. We give explicit results for the 2 and 3 site cases for arbitrary temperature T and zero…

统计力学 · 物理学 2015-06-15 Andreas Klümper , Dominic Nawrath , Junji Suzuki

High-$T_c$ superconductors are usually described as strongly correlated electronic systems. This feature deeply affects the one-particle and two-particle properties of the system. In particular, a large incoherent background developes on…

超导电性 · 物理学 2009-10-31 L. Boeri , E. Cappelluti , C. Grimaldi , L. Pietronero

An interacting lattice model describing the subspace spanned by a set of strongly-correlated bands is rigorously coupled to density functional theory to enable ab initio calculations of geometric and topological material properties. The…

强关联电子 · 物理学 2019-03-26 Ryan Requist , E. K. U. Gross

The octagon function is the fundamental building block yielding correlation functions of four large BPS operators in N=4 super Yang-Mills theory at any value of the 't Hooft coupling and at any genus order. Here we compute the octagon at…

高能物理 - 理论 · 物理学 2019-09-11 Till Bargheer , Frank Coronado , Pedro Vieira

We investigate the finite-temperature properties of a bosonic Josephson junction composed of N interacting atoms confined by a quasi-one-dimensional asymmetric double-well potential, modeled by the two-site Bose-Hubbard Hamiltonian. We…

量子气体 · 物理学 2026-01-21 Cesare Vianello , Matteo Ferraretto , Luca Salasnich

We propose an approach to the problem of finite temperature dynamical correlation functions in integrable one-dimensional models with a spectral gap. The approach is based on the analysis of the singularities of the operator matrix elements…

统计力学 · 物理学 2007-05-23 B. L. Altshuler , A. M. Tsvelik

Model-independent considerations are presented for the calculation of Bose-Einstein correlation functions and momentum distributions which describe boson-emitting systems containing a central part surrounded by a large halo. If the…

高能物理 - 唯象学 · 物理学 2015-06-25 T. Csorgo , B. Lorstad , J. Zimanyi

We show how to calculate correlation functions of two matrix models. Our method consists in making full use of the integrable hierarchies and their reductions, which were shown in previous papers to naturally appear in multi--matrix models.…

高能物理 - 理论 · 物理学 2008-02-03 L. Bonora , C. S. Xiong

There has been considerable recent progress in discovering and understanding quantum phases and fluctuations produced by strong correlations. Heavy fermion systems are an ideal platform for systematic studies because low and competing…

强关联电子 · 物理学 2021-11-12 Silke Paschen , Qimiao Si

Previous functional integral methods for translationally invariant systems have been extended to the case of a confining trap potential. Essentially all finite-temperature properties of the repulsive Bose gas in a paraboloidal trap can be…

统计力学 · 物理学 2007-05-23 N. M. Bogoliubov , R. K. Bullough , V. S. Kapitonov , C. Malyshev , J. Timonen

We develop an analytical many-body wave function to accurately describe the crossover of a one-dimensional bosonic system from weak to strong interactions in a harmonic trap. The explicit wave function, which is based on the exact two-body…

量子气体 · 物理学 2015-05-30 Ioannis Brouzos , Peter Schmelcher

The correlation function of two dimensional Ising model with the nearest neighbours interaction on the finite size lattice with the periodical boundary conditions is derived. The expressions similar to the form factor representation are…

高能物理 - 理论 · 物理学 2007-05-23 A. I. Bugrij

Phase diagrams of charged semi-hard-core bosons are studied in the mean field approximation. An increase in the parameter of local correlations is shown to lead to the transformation of the phase diagram of the system from the form…

统计力学 · 物理学 2022-01-05 V. V. Konev , Yu. D. Panov

We calculate the dynamical current and kinetic-energy correlation functions for the first Mott lobe of the one-dimensional Bose-Hubbard model. We employ the strong-coupling expansion up to sixth order in $x=t/U$, and the dynamical…

量子气体 · 物理学 2025-07-08 Kevin zu Münster , Florian Gebhard , Satoshi Ejima , Holger Fehske

We calculate the dynamic single-particle and many-particle correlation functions at non-zero temperature in one-dimensional trapped repulsive Bose gases. The decay for increasing distance between the points of these correlation functions is…

统计力学 · 物理学 2009-11-10 N. M. Bogoliubov , R. K. Bullough , C. Malyshev , J. Timonen

Even though strongly correlated systems are abundant, only a few exceptional cases admit analytical solutions. In this paper we present a large class of solvable systems with strong correlations.. We consider a set of $N$ independent and…

统计力学 · 物理学 2024-01-04 Marco Biroli , Hernán Larralde , Satya N. Majumdar , Grégory Schehr

By doing quantum Monte Carlo ab initio simulations we show that dipolar excitons, which are now under experimental study, actually are strongly correlated systems. Strong correlations manifest in significant deviations of excitation spectra…

强关联电子 · 物理学 2009-11-13 Yu. E. Lozovik , I. L. Kurbakov , G. E. Astrakharchik , J. Boronat , M. Willander