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We present the explicit expressions for the (regularized) terms in the large-epsilon asymptotic series of in particular the self-energy operator pertaining to arbitrary systems of interacting spin-s fermions in d spatial dimensions and…

Strongly Correlated Electrons · Physics 2009-11-07 Behnam Farid

We reformulate the strong-interaction limit of electronic density functional theory in terms of a classical problem with a degenerate minimum. This allows us to clarify many aspects of this limit, and to write a general solution, which is…

Materials Science · Physics 2007-05-23 Michael Seidl , Paola Gori-Giorgi , Andreas Savin

Here we calculate the dynamic susceptibility and dynamic correlation function in spin ice using the model of emergent magnetic monopoles. Calculations are based on a method originally suggested for the description of dynamic processes in…

Strongly Correlated Electrons · Physics 2015-06-16 M. I. Ryzhkin , I. A. Ryzhkin , S. T. Bramwell

The 7--particle form factors of the fundamental spin field of the O(3) nonlinear $\sigma$--model are constructed. We calculate the corresponding contribution to the spin--spin correlation function, and compare with predictions from the…

High Energy Physics - Theory · Physics 2010-04-05 J. Balog , P. Weisz

Exploiting the results of the exact solution for the ground state of the one-dimensional spinless quantum gas of Fermions and impenetrable Bosons with the mu/x_{ij}^2 particle-particle interaction, the Hellmann-Feynman theorem yields…

Strongly Correlated Electrons · Physics 2009-10-31 Rudolf A. Roemer , Paul Ziesche

Dynamical correlations of the spin and the energy density are investigated in the critical region of the random transverse-field Ising chain by numerically exact calculations in large finite systems (L<=128). The spin-spin autocorrelation…

Disordered Systems and Neural Networks · Physics 2016-08-31 H. Rieger , F. Igloi

In this note, we study two-point correlation functions of modular Hamiltonians. We show that in general quantum systems, these correlators obey properties similar to those of von Neumann entropy and capacity of entanglement, both of which…

High Energy Physics - Theory · Physics 2025-06-13 Mathew W. Bub , Allic Sivaramakrishnan

We consider the classical Calogero-Sutherland system with two types of interacting spin variables. It can be reduced to the standard Calogero-Sutherland system, when one of the spin variables vanishes. We describe the model in the Hitchin…

Mathematical Physics · Physics 2017-10-03 S. Kharchev , A. Levin , M. Olshanetsky , A. Zotov

We derive exact and closed-form expressions for a large class of two-point and three-point inflation correlators with the tree-level exchange of a single massive particle. The intermediate massive particle is allowed to have arbitrary mass,…

High Energy Physics - Theory · Physics 2023-07-26 Zhehan Qin , Zhong-Zhi Xianyu

Exact relations are derived for the Fermi Hubbard spectral weight function for infinite U at zero temperature in the thermodynamic limit for any dimension,any lattice structure and general hopping matrix. These relations involve moments of…

Strongly Correlated Electrons · Physics 2018-12-11 Donald M. Esterling

The dynamics of a simple spin chain (2 spins) coupled to bosonic baths at different temperatures is studied. The analytical solution for the reduced density matrix of the system is found. The dynamics and temperature dependence of spin-spin…

Quantum Physics · Physics 2009-05-05 Ilya Sinaysky , Francesco Petruccione , Daniel Burgarth

We consider a class of non-integrable 2D Ising models, whose Hamiltonian, in addition to the nearest neighbor couplings, includes weak multi-spin interactions, even under spin flip. We study the model in cylindrical domains of arbitrary…

Mathematical Physics · Physics 2023-02-24 Giovanni Antinucci , Alessandro Giuliani , Rafael Leon Greenblatt

An exact expression for the spin-spin correlation function is derived for the zero-temperature random-field Ising model defined on a Bethe lattice of arbitrary coordination number. The correlation length describing dynamic spin-spin…

Statistical Mechanics · Physics 2012-04-18 T. P. Handford , F. J. Perez-Reche , S. N. Taraskin

We calculate correlation functions of the energy-momentum tensor in the vicinity of the deconfinement phase transition of (3+1)-dimensional SU(2) gauge theory and discuss their critical behavior in the vicinity of the second order…

High Energy Physics - Lattice · Physics 2008-11-26 K. Huebner , F. Karsch , C. Pica

We measure the two-point density correlation function of freely expanding quasicondensates in the weakly interacting quasi-one-dimensional (1D) regime. While initially suppressed in the trap, density fluctuations emerge gradually during…

Tensor network states have enjoyed great success at capturing aspects of strong correlation physics. However, obtaining dynamical correlators at non-zero temperatures is generically hard even using these methods. Here, we introduce a…

Strongly Correlated Electrons · Physics 2026-01-14 Zhenjiu Wang , Paul McClarty , Dobromila Dankova , Andreas Honecker , Alexander Wietek

We examine the two-point correlation functions of the fields exp(i$\alpha\Phi$) in the sine-Gordon theory at all values of the coupling constant $\hat\beta$. Using conformal perturbation theory, we write down explicit integral expressions…

High Energy Physics - Theory · Physics 2016-09-06 Robert M. Konik , Andre LeClair

Using spin-dynamics techniques we have performed large-scale computer simulations of the dynamic behavior of the classical three component XY-model (i.e. the anisotropic limit of an easy-plane Heisenberg ferromagnet), on square lattices of…

Condensed Matter · Physics 2007-05-23 H. G. Evertz , D. P. Landau

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…

Statistical Mechanics · Physics 2009-11-10 N. M. Bogoliubov , R. K. Bullough , C. Malyshev , J. Timonen

The spin-boson model with quadratic coupling is studied using the bosonic numerical renormalization group method. We focus on the dynamical auto-correlation functions $C_{O}(\omega)$, with the operator $\hat{O}$ taken as $\hat{\sigma}_x$,…

Mesoscale and Nanoscale Physics · Physics 2018-11-19 Da-Chuan Zheng , Ning-Hua Tong