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We introduce an efficient method to calculate the ground state of one-dimensional lattice models with periodic boundary conditions. The method works in the representation of Matrix Product States (MPS), related to the Density Matrix…

Strongly Correlated Electrons · Physics 2010-02-16 Peter Pippan , Steven R. White , Hans Gerd Evertz

The dynamic structure factor (DSF) is a mathematical function that contains information about inter-particle correlations and their time evolution. Mostly the classical molecular dynamics is used to calculate the DSF of the classical…

Disordered Systems and Neural Networks · Physics 2024-07-08 V. S. Filinov , P. R. Levashov , A. S. Larkin

The measurement of the pairing gap plays an essential role in studying the physical properties of superconductors or superfluids. We develop a strategy for measure the pairing gap through the dynamical excitations. With the random phase…

Quantum Gases · Physics 2025-07-01 Huaisong Zhao , Feng Yuan , Tianxing Ma , Peng Zou

Frustrated spin systems can show phases with spontaneous breaking of spin-rotational symmetry without the formation of local magnetic order. We study the dynamic response of the spin-nematic phase of one-dimensional spin-1/2 systems,…

Strongly Correlated Electrons · Physics 2018-10-02 Flávia B. Ramos , Sebas Eliëns , Rodrigo G. Pereira

We present the first calculations of the inelastic part of the dynamical structure factor (DSF) for warm dense matter (WDM) using Time-Dependent Orbital-Free Density Functional Theory (TD-OF-DFT) and Mixed-Stochastic-Deterministic (mixed)…

Plasma Physics · Physics 2024-11-05 Alexander J. White

We propose a simple variational wave function that captures the correct ground state energy of the spin-1 Heisenberg chain model to within 0.04\%. The wave function is written in the matrix product state (MPS) form with the bond dimension…

Strongly Correlated Electrons · Physics 2020-08-19 Jintae Kim , Minsoo Kim , Naoki Kawashima , Jung Hoon Han , Hyun-Yong Lee

We calculate dynamical spin structure factors for gapped chiral spin liquid states in the spin-1/2 Heisenberg antiferromagnet on the kagome lattice using Schwinger-boson mean-field theory. In contrast to static (equal-time) structure…

Strongly Correlated Electrons · Physics 2016-09-15 Jad C. Halimeh , Matthias Punk

We consider the spin-1/2 Heisenberg XXZ chain in the regime of large Ising-like anisotropy $\Delta$. By a combination of duality and Jordan-Wigner transformations we derive a mapping to weakly interacting spinless fermions, which represent…

Strongly Correlated Electrons · Physics 2015-03-31 A. J. A. James , W. D. Goetze , F. H. L. Essler

A fast and stable numerical method is formulated to compute the time evolution of a wave function in a magnetic field by solving the time-dependent Schroedinger equation. This computational method is based on the finite element method in…

Computational Physics · Physics 2009-11-06 Naoki Watanabe , Masaru Tsukada

The dynamical structure factor $S(q,\omega)$ of the K-component (K = 2,3,4) spin chain with the 1/r^2 exchange is derived exactly at zero temperature for arbitrary size of the system. The result is interpreted in terms of a free…

Strongly Correlated Electrons · Physics 2009-10-31 Takashi Yamamoto , Yasuhiro Saiga , Mitsuhiro Arikawa , Yoshio Kuramoto

The quantum modes of a nonlinear Klein-Gordon lattice have been computed numerically [L. Proville, Phys. Rev. B 71, 104306 (2005)]. The on-site nonlinearity has been found to lead to phonon bound states. In the present paper, we compute…

Materials Science · Physics 2008-11-04 Laurent Proville

Dynamical structure factors of the S=1 bond-alternating spin chains in the dimer phase are calculated at finite temperature, using the pair dynamical correlated-effective-field approximation. At T=0, the delta-function-type peak of the…

Strongly Correlated Electrons · Physics 2009-11-11 Takahumi Suzuki , Sei-ichiro Suga

For special coupling ratios, the one-dimensional (1D) s=1/2 Heisenberg model with antiferromagnetic nearest and next-nearest neighbor interactions has a pure dimer ground state, and the 1D s=1 Heisenberg model with antiferromagnetic…

Condensed Matter · Physics 2009-10-28 Yongmin Yu , Gerhard Müller

The spin-$\frac{1}{2}$ XXZ chain with easy-plane anisotropy in a transverse field describes well the thermodynamic properties of the material ${\rm Cs_2CoCl_4}$ in a wide range of temperatures and fields including the region close to the…

Strongly Correlated Electrons · Physics 2016-08-23 Benedikt Bruognolo , Andreas Weichselbaum , Jan von Delft , Markus Garst

We present concluding results from our study for zero-temperature phase structure of the massive Thirring model in 1+1 dimensions with staggered regularisation. Employing the method of matrix product states, several quantities, including…

High Energy Physics - Lattice · Physics 2022-09-21 Mari Carmen Bañuls , Krzysztof Cichy , Hao-Ti Hung , Ying-Jer Kao , C. -J. David Lin , Yu-Ping Lin , David T. -L. Tan

The zero-temperature dynamical spin-spin correlation functions are calculated for the spin-1/2 two-leg Heisenberg ladder in a magnetic field above the lower critical field Hc1. The dynamical structure factors are calculated which exhibit…

Strongly Correlated Electrons · Physics 2009-10-31 A. Furusaki , S. C. Zhang

We develop a form factor approach to the study of dynamical correlation functions of quantum integrable models in the critical regime. As an example, we consider the quantum non-linear Schr\"odinger model. We derive long-distance/long-time…

Mathematical Physics · Physics 2017-03-17 N. Kitanine , K. K. Kozlowski , J. M. Maillet , N. A. Slavnov , V. Terras

We propose a method for calculating dynamical correlation functions at finite temperature in integrable lattice models of Yang-Baxter type. The method is based on an expansion of the correlation functions as a series over matrix elements of…

Statistical Mechanics · Physics 2020-08-04 Frank Göhmann , Michael Karbach , Andreas Klümper , Karol K. Kozlowski , Junji Suzuki

Dynamical electronic- and vibrational-structure theories have received a growing interest in the last years due to their ability to simulate spectra recorded with ultrafast experimental techniques. The exact time evolution of a molecular…

Computational Physics · Physics 2020-02-18 Alberto Baiardi , Markus Reiher

Using an infinite Matrix Product State (iMPS) technique based on the time-dependent variational principle (TDVP), we study two major types of dynamical phase transitions (DPT) in the one-dimensional transverse-field Ising model (TFIM) with…

Statistical Mechanics · Physics 2018-07-23 Jad C. Halimeh , Valentin Zauner-Stauber