scholarly journals Conformal Data and Renormalization Group Flow in Critical Quantum Spin Chains Using Periodic Uniform Matrix Product States

2018 ◽  
Vol 121 (23) ◽  
Author(s):  
Yijian Zou ◽  
Ashley Milsted ◽  
Guifre Vidal
Keyword(s):  
Renormalization Group ◽  
Quantum Spin ◽  
Spin Chains ◽  
Matrix Product ◽  
Quantum Spin Chains ◽  
Renormalization Group Flow ◽  
Matrix Product States ◽  
Group Flow

scholarly journals Matrix product states forsu(2) invariant quantum spin chains

2016 ◽  
Vol 2016 (8) ◽  
pp. 083101 ◽  
Author(s):  
Rubina Zadourian ◽  
Andreas Fledderjohann ◽  
Andreas Klümper
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Matrix Product ◽  
Quantum Spin Chains ◽  
Matrix Product States ◽  
Invariant Quantum

RENORMALIZATION-GROUP INVESTIGATION OF THE S = 1 RANDOM ANTIFERROMAGNETIC HEISENBERG CHAIN

2006 ◽  
Vol 17 (12) ◽  
pp. 1739-1753 ◽  
Author(s):  
PÉTER LAJKÓ
Keyword(s):  
Phase Diagram ◽  
Renormalization Group ◽  
Density Matrix ◽  
Energy Scale ◽  
Quantum Spin ◽  
Spin Chains ◽  
Density Matrix Renormalization Group ◽  
Heisenberg Chain ◽  
Quantum Spin Chains ◽  
Density Matrix Renormalization

We introduce variants of the Ma-Dasgupta renormalization-group (RG) approach for random quantum spin chains, in which the energy-scale is reduced by decimation built on either perturbative or non-perturbative principles. In one non-perturbative version of the method, we require the exact invariance of the lowest gaps, while in a second class of perturbative Ma-Dasgupta techniques, different decimation rules are utilized. For the S = 1 random antiferromagnetic Heisenberg chain, both type of methods provide the same type of disorder dependent phase diagram, which is in agreement with density-matrix renormalization-group calculations and previous studies.

scholarly journals Ballistic transport and boundary resistances in inhomogeneous quantum spin chains

2019 ◽  
Vol 10 (1) ◽  
Author(s):  
Alberto Biella ◽  
Mario Collura ◽  
Davide Rossini ◽  
Andrea De Luca ◽  
Leonardo Mazza
Keyword(s):  
Ballistic Transport ◽  
Quantum Spin ◽  
Spin Chains ◽  
Matrix Product ◽  
Relaxation Dynamics ◽  
Quantum Spin Chains ◽  
Many Body ◽  
Matrix Product State ◽  
The Many ◽  
Local Defects

Abstract Transport phenomena are central to physics, and transport in the many-body and fully-quantum regime is attracting an increasing amount of attention. It has been recently revealed that some quantum spin chains support ballistic transport of excitations at all energies. However, when joining two semi-infinite ballistic parts, such as the XX and XXZ spin-1/2 models, our understanding suddenly becomes less established. Employing a matrix-product-state ansatz of the wavefunction, we study the relaxation dynamics in this latter case. Here we show that it takes place inside a light cone, within which two qualitatively different regions coexist: an inner one with a strong tendency towards thermalization, and an outer one supporting ballistic transport. We comment on the possibility that even at infinite time the system supports stationary currents and displays a non-zero Kapitza boundary resistance. Our study paves the way to the analysis of the interplay between transport, integrability, and local defects.

scholarly journals Random Quantum Spin Chains: A Real-Space Renormalization Group Study

1995 ◽  
Vol 75 (23) ◽  
pp. 4302-4305 ◽  
Author(s):  
E. Westerberg ◽  
A. Furusaki ◽  
M. Sigrist ◽  
P. A. Lee
Keyword(s):  
Renormalization Group ◽  
Real Space ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Real Space Renormalization Group
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