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We apply the thermal (imaginary time) perturbative expansion to the relevant effective field theory to compute characteristics of the phase transition to the ordered state which can occur at low temperatures in the gas of (nonrelativistic)…

Quantum Gases · Physics 2023-09-27 Oskar Grocholski , Piotr H. Chankowski

We examine the nature of the transition to the antiferromagnetically ordered state in the half-filled three-dimensional Hubbard model using the dual-fermion multiscale approach. Consistent with analytics, in the weak-coupling regime we find…

Strongly Correlated Electrons · Physics 2015-10-14 Daniel Hirschmeier , Hartmut Hafermann , Emanuel Gull , Alexander I. Lichtenstein , Andrey E. Antipov

We use numerical techniques to study dynamical properties at finite temperature ($T$) of the Heisenberg spin chain with random exchange couplings, which realizes the random singlet (RS) fixed point in the low-energy limit. Specifically, we…

Strongly Correlated Electrons · Physics 2018-04-02 Yu-Rong Shu , Maxime Dupont , Dao-Xin Yao , Sylvain Capponi , Anders W. Sandvik

We consider an iteration method for solving an elliptic type boundary value problem $\mathcal{A} u=f$, where a positive definite operator $\mathcal{A}$ is generated by a quasi--periodic structure with rapidly changing coefficients (typical…

Numerical Analysis · Mathematics 2017-01-03 B. Khoromskij , S. Repin

Inelastic neutron scattering experiments are commonly used to unveil how excitations on Heisenberg spin models play a role in dynamical correlations functions. For a certain class of materials, like CsCoCl$_3$ or CsCoBr$_3$ salts, it turns…

Strongly Correlated Electrons · Physics 2020-05-22 Isaac Pérez Castillo

The dynamics of magnetization and energy densities are studied in the two-leg spin-1/2 ladder. Using an efficient pure-state approach based on the concept of typicality, we calculate spatio-temporal correlation functions for large systems…

We have extended our previous series studies of quantum antiferromagnets at zero temperature by computing the one-magnon dispersion curves and various structure factors for the linear chain, square and simple cubic lattices. Many of these…

Strongly Correlated Electrons · Physics 2009-11-10 Weihong Zheng , J. Oitmaa , C. J. Hamer

We propose an ansatz without adjustable parameters for the calculation of dynamical structure factor. The ansatz combines quasi-particle Green's function, especially the contribution from the renormalization factor, and the…

Materials Science · Physics 2024-03-12 Yupei Zhang , Chongjie Mo , Ping Zhang , Wei Kang

We calculate the 2-triplon contribution to the dynamic structure factor of the 2-dimensional Shastry-Sutherland model, realized in SrCu2(BO3)2, by means of perturbative continuous unitary transformations. For realistic parameters we find…

Strongly Correlated Electrons · Physics 2009-11-10 Christian Knetter , Goetz S. Uhrig

In this paper we propose the recursive stochastic state selection method, an extension of the recently developed stochastic state selection method in Monte Carlo calculations for quantum spin systems. In this recursive method we use…

Statistical Mechanics · Physics 2009-11-10 Tomo Munehisa , Yasuko Munehisa

We study the spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures using a time-dependent density matrix renormalization group method. System sizes are chosen large enough to…

Strongly Correlated Electrons · Physics 2015-06-18 C. Karrasch , J. E. Moore , F. Heidrich-Meisner

We provide a description of the dynamic structure factor of a homogeneous unitary Fermi gas at low momentum and low frequency, based on the dissipative two-fluid hydrodynamic theory. The viscous relaxation time is estimated and is used to…

Quantum Gases · Physics 2018-02-14 Hui Hu , Peng Zou , Xia-Ji Liu

We construct all (2+1)-dimensional PDEs depending only on 2nd-order derivatives of unknown which have the Euler-Lagrange form and determine the corresponding Lagrangians. We convert these equations and their Lagrangians to two-component…

Exactly Solvable and Integrable Systems · Physics 2022-05-18 M. B. Sheftel , D. Yazıcı

We study the use of Temporal-Difference learning for estimating the structural parameters in dynamic discrete choice models. Our algorithms are based on the conditional choice probability approach but use functional approximations to…

Econometrics · Economics 2022-12-23 Karun Adusumilli , Dita Eckardt

Based on random phase approximation (RPA), we numerically calculate dynamical structure factors of a balanced two-dimensional (2D) Fermi superfluid, and discuss their energy, momentum and interaction strength dependence in the 2D BEC-BCS…

Quantum Gases · Physics 2020-08-05 Huaisong Zhao , Xiaoxu Gao , Wen Liang , Peng Zou , Feng Yuan

In order to perform quantum Hamiltonian dynamics minimizing localization effects, we introduce a quasi-one dimensional tight-binding model whose mean free path is smaller than the size of the sample. This one, in turn, is smaller than the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. M. Cucchietti , H. M. Pastawski

We show that the high-temperature expansion of the free energy and arbitrary imaginary-time-ordered connected correlation functions of quantum spin systems can be recursively obtained from the exact renormalization group flow equation for…

Strongly Correlated Electrons · Physics 2024-10-15 Andreas Rückriegel , Dmytro Tarasevych , Jan Krieg , Peter Kopietz

We revisit our initial derivations of the exact 2-spinon $S_2$ and 4-spinon $S_4$ dynamical structure factors (DSF). First we show that the latter derivations had normalization factors that are twice and quadriple the correct ones…

Statistical Mechanics · Physics 2025-05-13 A. H. Bougourzi

We apply Euclidean time methods to phenomenological Dyson-Schwinger models of hadrons. By performing a Fourier transform of the momentum space correlation function to Euclidean time and by taking the large Euclidean time limit, we project…

High Energy Physics - Phenomenology · Physics 2016-09-06 M. Burkardt , M. R. Frank , K. L. Mitchell

In the context of the antiferromagnetic spin 1/2 Heisenberg quantum spin chain (XXX model), we estimate the contribution of the exact four-spinon dynamic structure factor $S_4$ by calculating a number of sum rules the total dynamic…

Strongly Correlated Electrons · Physics 2009-11-11 B. Si Lakhal , A. Abada
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