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Dynamic structure factor (DSF) is important for understanding excitations in many-body physics; it reveals information about the spectral and spatial correlations of fluctuations in quantum systems. Collective phenomena like quantum phase…

Quantum Gases · Physics 2025-06-12 Subhanka Mal , Anushree Dey , Kingshuk Adikary , Bimalendu Deb

We compute the dynamic structure factor for the Ising model with a purely relaxational dynamics (model A). We perform a perturbative calculation in the $\epsilon$ expansion, at two loops in the high-temperature phase and at one loop in the…

Statistical Mechanics · Physics 2009-11-10 P. Calabrese , V. Martin-Mayor , A. Pelissetto , E. Vicari

We compute the zero temperature dynamical structure factor $S({\bf q},\omega)$ of the triangular lattice Heisenberg model (TLHM) using a Schwinger boson approach that includes the Gaussian fluctuations ($1/N$ corrections) of the saddle…

Strongly Correlated Electrons · Physics 2018-11-06 E. A. Ghioldi , M. G. Gonzalez , Shang-Shun Zhang , Yoshitomo Kamiya , L. O. Manuel , A. E. Trumper , C. D. Batista

The dynamic structure factor of a normal Fermi gas is investigated by using the moment method for the Boltzmann equation. We determine the spectral function at finite temperatures over the full range of crossover from the collisionless…

Quantum Gases · Physics 2010-10-05 Shohei Watabe , Tetsuro Nikuni

We consider the anisotropic Heisenberg spin-1/2 chain in a transverse magnetic field at zero temperature. We first determine all components of the dynamical structure factor by combining exact results with a mean-field approximation…

Strongly Correlated Electrons · Physics 2009-11-10 J. S. Caux , F. H. L. Essler , U. Loew

We compute the exact 4-spinon contribution to the zero-temperature dynamical structure factor of the spin-1/2 Heisenberg isotropic antiferromagnet in zero magnetic field, directly in the thermodynamic limit. We make use of the expressions…

Strongly Correlated Electrons · Physics 2016-05-17 J. -S. Caux , R. Hagemans

In recent years, the time-dependent variational principle (TDVP) method based on the matrix product state (MPS) wave function formulation has shown its great power in performing large-scale quantum dynamics simulations for realistic…

Strongly Correlated Electrons · Physics 2022-03-15 Yihe Xu , Zhaoxuan Xie , Xiaoyu Xie , Ulrich Schollwöck , Haibo Ma

Combining the time-dependent variational principle (TDVP) algorithm with the parallelization scheme introduced by Stoudenmire and White for the density matrix renormalization group (DMRG), we present the first parallel matrix product state…

The dynamical structure factor (DSF) represents a measure of dynamical density-density correlations in a quantum many-body system. Due to the complexity of many-body correlations and quantum fluctuations in a system of an infinitely large…

Quantum Gases · Physics 2023-08-15 Run-Tian Li , Song Cheng , Yang-Yang Chen , Xi-Wen Guan

Understanding the emergent system-bath correlations in non-Markovian and non-perturbative open systems is a theoretical challenge that has benefited greatly from the application of Matrix Product State (MPS) methods. Here, we propose an…

Quantum Physics · Physics 2020-07-29 Angus J. Dunnett , Alex W. Chin

We compute the energies and transition probabilities for low excitations in the one dimensional antiferromagnetic spin-1/2 Heisenberg model by means of the recursion method. We analyse finite size effects in the euclidian time…

Condensed Matter · Physics 2009-10-28 A Fledderjohann , M Karbach , K-H Mütter , P Wielath

We present two methods for computing the dynamic structure factor for warm dense hydrogen without invoking either the Born-Oppenheimer approximation or the Chihara decomposition, by employing a wave-packet description that resolves the…

We develop a microscopic theory of dynamic structure factor to describe the Bogoliubov-Anderson-Goldstone phonon mode and its damping rate in a strongly interacting Fermi gas at finite temperature. It is based on a density functional…

Quantum Gases · Physics 2018-07-25 Peng Zou , Hui Hu , Xia-Ji Liu

For quantum spin systems in equilibrium, the dynamic structure factor (DSF) is among the most feature-packed experimental observables. However, from a theory perspective it is often hard to simulate in an unbiased and accurate way,…

Strongly Correlated Electrons · Physics 2026-02-06 Ruben Burkard , Benedikt Schneider , Björn Sbierski

We present a matrix product state (MPS) algorithm to approximate ground states of translationally invariant systems with periodic boundary conditions. For a fixed value of the bond dimension D of the MPS, we discuss how to minimize the…

Quantum Physics · Physics 2011-03-21 B. Pirvu , F. Verstraete , G. Vidal

We propose an improved scheme to do the time dependent variational principle (TDVP) in finite matrix product states (MPS) for two-dimensional systems or one-dimensional systems with long range interactions. We present a method to represent…

Strongly Correlated Electrons · Physics 2020-09-30 Mingru Yang , Steven R. White

We study the time evolution of long quantum spin chains subjected to continuous monitoring via matrix product states (MPS) at fixed bond dimension, with the Time-Dependent Variational Principle (TDVP) algorithm. The latter gives an…

Statistical Mechanics · Physics 2024-03-14 Guillaume Cecile , Hugo Lóio , Jacopo De Nardis

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 study the one-dimensional $S=1/2$ Heisenberg model with a uniform and a staggered magnetic fields, using the dynamical density-matrix renormalization group (DDMRG) technique. The DDMRG enables us to investigate the dynamical properties…

Strongly Correlated Electrons · Physics 2007-10-19 S. Nishimoto , M. Arikawa

The dynamical spin structure factor is computed within a variational framework to study the one-dimensional $J_1-J_2$ Heisenberg model. Starting from Gutzwiller-projected fermionic wave functions, the low-energy spectrum is constructed from…

Strongly Correlated Electrons · Physics 2018-06-13 Francesco Ferrari , Alberto Parola , Sandro Sorella , Federico Becca
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