S matrix from matrix product states.
作者： Laurens Vanderstraeten , Jutho Haegeman , Tobias J. Osborne , Frank Verstraete
DOI: 10.1103/PHYSREVLETT.112.257202
关键词:
摘要: We use the matrix product state formalism to construct stationary scattering states of elementary excitations in generic one-dimensional quantum lattice systems. Our method is applied spin-1 Heisenberg antiferromagnet, for which we calculate full magnon-magnon S arbitrary momenta and spin, two-particle contribution spectral function, higher order corrections magnetization curve. As our provides an accurate microscopic representation interaction between excitations, envisage description low-energy dynamics spin chains terms these particlelike excitations.
arxiv.org
harvard.edu
sfb-vicom.at 参考文章(50)
Thierry Giamarchi, Quantum physics in one dimension ,(2004)
N. M. Bogoliubov, V. E. Korepin, A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions arXiv: Condensed Matter. ,(1993)
M B Hastings, An Area Law for One Dimensional Quantum Systems arXiv: Quantum Physics. ,(2007) , 10.1088/1742-5468/2007/08/P08024
Lluís Masanes, Area law for the entropy of low-energy states Physical Review A. ,vol. 80, pp. 052104- ,(2009) , 10.1103/PHYSREVA.80.052104
Ulrich Schollwöck, The density-matrix renormalization group in the age of matrix product states Annals of Physics. ,vol. 326, pp. 96- 192 ,(2011) , 10.1016/J.AOP.2010.09.012
Steven R. White, Density matrix formulation for quantum renormalization groups Physical Review Letters. ,vol. 69, pp. 2863- 2866 ,(1992) , 10.1103/PHYSREVLETT.69.2863
Karen A. Hallberg, Density-matrix algorithm for the calculation of dynamical properties of low-dimensional systems. Physical Review B. ,vol. 52, ,(1995) , 10.1103/PHYSREVB.52.R9827
Till D. Kühner, Steven R. White, Dynamical correlation functions using the density matrix renormalization group Physical Review B. ,vol. 60, pp. 335- 343 ,(1999) , 10.1103/PHYSREVB.60.335
Eric Jeckelmann, Dynamical density-matrix renormalization-group method Physical Review B. ,vol. 66, pp. 045114- ,(2002) , 10.1103/PHYSREVB.66.045114
F. Verstraete, J. J. García-Ripoll, J. I. Cirac, Matrix product density operators: simulation of finite-temperature and dissipative systems. Physical Review Letters. ,vol. 93, pp. 207204- 207204 ,(2004) , 10.1103/PHYSREVLETT.93.207204