Entanglement renormalization and boundary critical phenomena

被引：10

作者：

Silvi, P. ^{[1
]}

Giovannetti, V. ^{[2
,3
]}

Calabrese, P. ^{[4
,5
]}

Santoro, G. E. ^{[1
,6
,7
]}

Fazio, R. ^{[2
,3
,8
]}

机构：

[1] SISSA, Int Sch Adv Studies, I-34014 Trieste, Italy

[2] Scuola Normale Super Pisa, NEST, I-56126 Pisa, Italy

[3] CNR INFM, I-56126 Pisa, Italy

[4] Univ Pisa, Dipartimento Fis, I-56127 Pisa, Italy

[5] Ist Nazl Fis Nucl, I-56127 Pisa, Italy

[6] CNR INFM Democritos Natl Simulat Ctr, I-34014 Trieste, Italy

[7] Abdus Salaam Int Ctr Theoret Phys, I-34014 Trieste, Italy

[8] Natl Univ Singapore, Ctr Quantum Technol, Singapore, Singapore

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2010年

基金：

新加坡国家研究基金会;

关键词：

density matrix renormalization group calculations; other numerical approaches; entanglement in extended quantum systems (theory); QUANTUM; STATES; CHAINS; SLE;

D O I：

10.1088/1742-5468/2010/03/L03001

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper we study interacting quantum systems defined on a one-dimensional lattice with arbitrary boundary conditions, and employ the multiscale entanglement renormalization ansatz to study boundary critical phenomena. We show how to compute the average of any local operator as a function of the distance from the boundary as well as the deviation of the ground state energy due to the presence of the boundary. Furthermore, assuming a uniform tensor structure, we show that the multiscale entanglement renormalization ansatz implies an exact relation between bulk and boundary critical exponents known to exist for boundary critical systems.

引用

页数：13

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