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

共 50 条

[21] Entanglement renormalization
Vidal, G.
PHYSICAL REVIEW LETTERS, 2007, 99 (22)
[22] RENORMALIZATION GROUP AND CRITICAL PHENOMENA .1. RENORMALIZATION GROUP AND KADANOFF SCALING PICTURE
WILSON, KG
PHYSICAL REVIEW B, 1971, 4 (09): : 3174 - &
[23] CRITICAL PHENOMENA OF RANDOM SPIN SYSTEMS - RENORMALIZATION GROUP APPROACH
SOBOTTA, G
WAGNER, D
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1978, 11 (07): : 1467 - 1480
[24] Scaling, universality, and renormalization: Three pillars of modern critical phenomena
Stanley, HE
REVIEWS OF MODERN PHYSICS, 1999, 71 (02) : S358 - S366
[25] RENORMALIZATION GROUP AND COMPOSITE FIELD IN WILSONS THEORY OF CRITICAL PHENOMENA
JOUVET, B
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1973, A 18 (03): : 459 - 479
[26] Algebraic self-similar renormalization in the theory of critical phenomena
Gluzman, S
Yukalov, VI
PHYSICAL REVIEW E, 1997, 55 (04) : 3983 - 3999
[27] Inverse Monte Carlo renormalization group transformations for critical phenomena
Ron, D
Swendsen, RH
Brandt, A
PHYSICAL REVIEW LETTERS, 2002, 89 (27)
[28] CRITICAL PHENOMENA IN DISORDERED SYSTEMS - RENORMALIZATION-GROUP APPROACH
KUMAR, D
PHYSICAL REVIEW LETTERS, 1976, 37 (18) : 1171 - 1174
[29] Entanglement renormalization and holography
Swingle, Brian
PHYSICAL REVIEW D, 2012, 86 (06):
[30] Anomalies and entanglement renormalization
Bridgeman, Jacob C.
Williamson, Dominic J.
PHYSICAL REVIEW B, 2017, 96 (12)

← 1 2 3 4 5 →