Topological disentangler for the valence-bond-solid chain

被引：10

作者：

Okunishi, Kouichi ^{[1
]}

机构：

[1] Niigata Univ, Fac Sci, Dept Phys, Niigata 9502181, Japan

来源：

PHYSICAL REVIEW B | 2011年 / 83卷 / 10期

关键词：

FUNCTION RENORMALIZATION-GROUP; QUANTUM SPIN CHAINS; GROUND-STATES; ANTIFERROMAGNETS; SYMMETRY;

D O I：

10.1103/PhysRevB.83.104411

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We discuss the topological disentangler for S = 1 quantum spin chains in the Haldane phase. We first point out that theKennedy-Tasaki (KT) nonlocal unitary transformation is the perfect disentangler for the Affleck-Kennedy-Lieb-Tasaki model. We then demonstrate that the KT transformation can be reconstructed as an assembly of pair disentanglers. Finally, we show that the KT transformation can be regarded as a topological disentangler, which selectively disentangles the twofold degeneracy in the entanglement spectrum of the S = 1 Heisenberg chain.

引用

下载

页数：4

共 50 条

[11] Long-ranged interacting S=1 spin chain with the exact valence-bond-solid state
Nakano, H
Takahashi, M
PHYSICAL REVIEW B, 1996, 54 (13): : 9000 - 9003
[12] Thermal valence-bond-solid transition of quantum spins in two dimensions
Jin, Songbo
Sandvik, Anders W.
PHYSICAL REVIEW B, 2013, 87 (18):
[13] Critical properties of the valence-bond-solid transition in lattice quantum electrodynamics
Zerf, Nikolai
Boyack, Rufus
Marquard, Peter
Gracey, John A.
Maciejko, Joseph
PHYSICAL REVIEW D, 2020, 101 (09)
[14] Valence-bond-solid order in antiferromagnets with spin-lattice coupling
Jia, Chenglong
Han, Jung Hoon
PHYSICAL REVIEW B, 2006, 73 (17):
[15] Emergent SO(5) Symmetry at the Neel to Valence-Bond-Solid Transition
Nahum, Adam
Serna, P.
Chalker, J. T.
Ortuno, M.
Somoza, A. M.
PHYSICAL REVIEW LETTERS, 2015, 115 (26)
[16] Order parameter to characterize valence-bond-solid states in quantum spin chains
Nakamura, M
Todo, S
PHYSICAL REVIEW LETTERS, 2002, 89 (07) : 1 - 077204
[17] Preparing valence-bond-solid states on noisy intermediate-scale quantum computers
Murta, Bruno
Cruz, Pedro M. Q.
Fernandez-Rossier, J.
PHYSICAL REVIEW RESEARCH, 2023, 5 (01):
[18] Example of a first-order Neel to valence-bond-solid transition in two dimensions
Sen, Arnab
Sandvik, Anders W.
PHYSICAL REVIEW B, 2010, 82 (17):
[19] Neel-State to Valence-Bond-Solid Transition on the Honeycomb Lattice: Evidence for Deconfined Criticality
Pujari, Sumiran
Damle, Kedar
Alet, Fabien
PHYSICAL REVIEW LETTERS, 2013, 111 (08)
[20] Effective field theory for one-dimensional valence-bond-solid phases and their symmetry protection
Fuji, Yohei
PHYSICAL REVIEW B, 2016, 93 (10)

← 1 2 3 4 5 →