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pro vyhledávání: '"A Turzillo"'
Autor:
Ma, Ruochen, Turzillo, Alex
The interplay of symmetry and topology in quantum many-body mixed states has recently garnered significant interest. In a phenomenon not seen in pure states, mixed states can exhibit average symmetries -- symmetries that act on component states while
Externí odkaz:
http://arxiv.org/abs/2403.13280
Autor:
Turzillo, Alex, You, Minyoung
Publikováno v:
J. High Energ. Phys. 2024, 34 (2024)
We study the interplay of duality and stacking of bosonic and fermionic symmetry-protected topological phases in one spatial dimension. In general the classifications of bosonic and fermionic phases have different group structures under the operation
Externí odkaz:
http://arxiv.org/abs/2311.18782
Autor:
Alex Turzillo, Minyoung You
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 10, Pp 1-47 (2024)
Abstract We study the interplay of duality and stacking of bosonic and fermionic symmetry-protected topological phases in one spatial dimension. In general the classifications of bosonic and fermionic phases have different group structures under the
Externí odkaz:
https://doaj.org/article/631f398750ed4d24b0167c8f42f9c81e
Publikováno v:
Quantum 6, 856 (2022)
We systematically investigate the robustness of symmetry protected topological (SPT) order in open quantum systems by studying the evolution of string order parameters and other probes under noisy channels. We find that one-dimensional SPT order is r
Externí odkaz:
http://arxiv.org/abs/2112.04483
Autor:
Turzillo, Alex, You, Minyoung
Publikováno v:
Phys. Rev. Lett. 127, 026402 (2021)
It has recently been demonstrated that protected supersymmetry emerges on the boundaries of one-dimensional intrinsically fermionic symmetry protected trivial (SPT) phases. Here we investigate the boundary supersymmetry of one-dimensional fermionic p
Externí odkaz:
http://arxiv.org/abs/2012.04621
Publikováno v:
J. Stat. Mech. (2021) 013107
We study matrix product unitary operators (MPUs) for fermionic one-dimensional (1D) chains. In stark contrast with the case of 1D qudit systems, we show that (i) fermionic MPUs do not necessarily feature a strict causal cone and (ii) not all fermioni
Externí odkaz:
http://arxiv.org/abs/2007.11905
Autor:
Hsin, Po-Shen, Turzillo, Alex
Publikováno v:
JHEP 09 (2020) 022
We use the intrinsic one-form and two-form global symmetries of (3+1)$d$ bosonic field theories to classify quantum phases enriched by ordinary ($0$-form) global symmetry. Different symmetry-enriched phases correspond to different ways of coupling th
Externí odkaz:
http://arxiv.org/abs/1904.11550
Akademický článek
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Autor:
Turzillo, Alex
Publikováno v:
J. High Energ. Phys. 2020, 19 (2020)
The two dimensional state sum models of Barrett and Tavares are extended to unoriented spacetimes. The input to the construction is an algebraic structure dubbed half twist algebras, a class of examples of which is real separable superalgebras with a
Externí odkaz:
http://arxiv.org/abs/1811.12654
Publikováno v:
Phys. Rev. B 100, 195128 (2019)
We extend the periodic table of phases of free fermions in the ten-fold way symmetry classes to a classification of free fermionic phases protected by an arbitrary on-site unitary symmetry $\hat G$ in an arbitrary dimension. The classification is des
Externí odkaz:
http://arxiv.org/abs/1809.04958