|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Two Dimensional Isometric Tensor Networks on an Infinite Strip | | Yantao Wu
; Sajant Anand
; Sheng-Hsuan Lin
; Frank Pollmann
; Michael P. Zaletel
; | | Date: |
25 Nov 2022 | | Abstract: | The exact contraction of a generic two-dimensional (2D) tensor network state
(TNS) is known to be exponentially hard, making simulation of 2D systems
difficult. The recently introduced class of isometric TNS (isoTNS) represents a
subset of TNS that allows for efficient simulation of such systems on finite
square lattices. The isoTNS ansatz requires the identification of an
"orthogonality column" of tensors, within which one-dimensional matrix product
state (MPS) methods can be used for calculation of observables and optimization
of tensors. Here we extend isoTNS to infinitely long strip geometries and
introduce an infinite version of the Moses Move algorithm for moving the
orthogonality column around the network. Using this algorithm, we iteratively
transform an infinite MPS representation of a 2D quantum state into a strip
isoTNS and investigate the entanglement properties of the resulting state. In
addition, we demonstrate that the local observables can be evaluated
efficiently. Finally, we introduce an infinite time-evolving block decimation
algorithm (iTEBD extsuperscript{2}) and use it to approximate the ground state
of the 2D transverse field Ising model on lattices of infinite strip geometry. | | Source: | arXiv, 2211.14337 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER