کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5495737 | 1529825 | 2017 | 43 صفحه PDF | دانلود رایگان |
- Structure of tensors generating states (MPS) with local symmetry is determined.
- Three types of states analyzed: matter, pure gauge field and their combined state.
- Structure of gauge field Hilbert space derived from local symmetry assumption.
- New gauge invariant states described, not the result of gauging a global symmetry.
Matrix Product States (MPS) are a particular type of one dimensional tensor network states, that have been applied to the study of numerous quantum many body problems. One of their key features is the possibility to describe and encode symmetries on the level of a single building block (tensor), and hence they provide a natural playground for the study of symmetric systems. In particular, recent works have proposed to use MPS (and higher dimensional tensor networks) for the study of systems with local symmetry that appear in the context of gauge theories. In this work we classify MPS which exhibit local invariance under arbitrary gauge groups. We study the respective tensors and their structure, revealing known constructions that follow known gauging procedures, as well as different, other types of possible gauge invariant states.
Journal: Annals of Physics - Volume 386, November 2017, Pages 199-241