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We propose an easily implemented approach to study time-dependent correlation functions of one dimensional systems at finite temperature T using the density matrix renormalization group. The entanglement growth inherent to any…

强关联电子 · 物理学 2013-09-09 C. Karrasch , J. H. Bardarson , J. E. Moore

A major advance in density-matrix renormalization group (DMRG) calculations has been achieved by the invention of highly efficient DMRG techniques for the simulation of real-time dynamics of strongly correlated quantum systems in one…

强关联电子 · 物理学 2007-05-23 U. Schollwoeck , S. R. White

We apply a generalization of the time-dependent DMRG to study finite temperature properties of several quantum spin chains, including the frustrated $J_1-J_2$ model. We discuss several practical issues with the method, including use of…

强关联电子 · 物理学 2007-05-23 A. E. Feiguin , Steven R. White

This paper provides a study and discussion of earlier as well as novel more efficient schemes for the precise evaluation of finite-temperature response functions of strongly correlated quantum systems in the framework of the time-dependent…

量子物理 · 物理学 2013-07-19 Thomas Barthel

Understanding the intricate properties of one-dimensional quantum systems coupled to multiple reservoirs poses a challenge to both analytical approaches and simulation techniques. Fortunately, density matrix renormalization group-based…

量子物理 · 物理学 2021-07-15 Heitor P. Casagrande , Dario Poletti , Gabriel T. Landi

In this paper recent substantial progress in applying the density-matrix renormalization-group (DMRG) to the simulation of the time-evolution of strongly correlated quantum systems in one dimension is reviewed. Various approaches to…

强关联电子 · 物理学 2015-06-25 Ulrich Schollwoeck

The density matrix renormalization group (DMRG) method and its applications to finite temperatures and two-dimensional systems are reviewed. The basic idea of the original DMRG method, which allows precise study of the ground state…

强关联电子 · 物理学 2009-11-10 Naokazu Shibata

The density-matrix renormalization group (DMRG) applied to transfer matrices allows it to calculate static as well as dynamical properties of one-dimensional quantum systems at finite temperature in the thermodynamic limit. To this end the…

强关联电子 · 物理学 2007-12-20 S. Glocke , A. Klümper , J. Sirker

We implement and apply time-dependent density matrix renormalization group (TD-DMRG) algorithms at zero and finite temperature to compute the linear absorption and fluorescence spectra of molecular aggregates. Our implementation is within a…

化学物理 · 物理学 2019-07-30 Jiajun Ren , Zhigang Shuai , Garnet Kin-Lic Chan

We discuss a few simple modifications to time-dependent density matrix renormalization group (DMRG) algorithms which allow to access larger time scales. We specifically aim at beginners and present practical aspects of how to implement…

强关联电子 · 物理学 2016-12-14 D. M. Kennes , C. Karrasch

The density matrix renormalization group (DMRG) method is applied to the anisotropic Heisenberg chain at finite temperatures. The free energy of the system is obtained using the quantum transfer matrix which is iteratively enlarged in the…

统计力学 · 物理学 2009-10-30 N. Shibata

One of the most straightforward ways to study thermal properties beyond linear response is to monitor the relaxation of an arbitrarily large left-right temperature gradient $T_L-T_R$. In one-dimensional systems which support ballistic…

强关联电子 · 物理学 2017-03-29 C. Karrasch

We present for the first time time-dependent density-matrix renormalization-group simulations (t-DMRG) at finite temperatures. It is demonstrated how a combination of finite-temperature t-DMRG and time-series prediction allows for an easy…

强关联电子 · 物理学 2009-07-28 Thomas Barthel , Ulrich Schollwöck , Steven R. White

An algorithm for the simulation of the evolution of slightly entangled quantum states has been recently proposed as a tool to study time-dependent phenomena in one-dimensional quantum systems. Its key feature is a time-evolving…

强关联电子 · 物理学 2022-08-22 A. J. Daley , C. Kollath , U. Schollwoeck , G. Vidal

The low temperature thermodynamics of correlated 1D fermionic models with spin and charge degrees of freedom is obtained by exact diagonalization (ED) of small systems and followed by density matrix renormalization group (DMRG) calculations…

强关联电子 · 物理学 2022-03-11 Sudip Kumar Saha , Debasmita Maiti , Manoranjan Kumar , Zoltán G. Soos

We illustrate how finite-temperature charge and thermal Drude weights of one-dimensional systems can be obtained from the relaxation of initial states featuring global (left-right) gradients in the chemical potential or temperature. The…

强关联电子 · 物理学 2017-03-20 C. Karrasch

We propose a density matrix renormalization group (DMRG) technique at finite temperatures. As is the case of the ground state DMRG, we use a single-target state that is calculated by making use of a regulated polynomial expansion. Both…

强关联电子 · 物理学 2009-03-09 Shigetoshi Sota , Takami Tohyama

Accurate numerical simulations of a doped t-J model on a two-leg ladder are presented for the particle number, chemical potential, magnetic susceptibility and entropy in the limit of large exchange coupling on the rung using a finite…

凝聚态物理 · 物理学 2009-10-31 Beat Ammon , Matthias Troyer , T. M. Rice , N. Shibata

The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient truncation of the Hilbert space of low-dimensional strongly correlated quantum systems based on a rather general decimation prescription. This…

强关联电子 · 物理学 2009-11-10 Ulrich Schollwoeck

We describe a modified transfer matrix renormalization group (TMRG) algorithm and apply it to calculate thermodynamic properties of the one-dimensional t-J model. At the supersymmetric point we compare with Bethe ansatz results and make…

强关联电子 · 物理学 2007-05-23 J. Sirker , A. Klümper
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