Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Gorantla, Pranay"'
Gapped fracton phases constitute a new class of quantum states of matter which connects to topological orders but does not fit easily into existing paradigms. They host unconventional features such as sub-extensive and robust ground state degeneracie
Externí odkaz:
http://arxiv.org/abs/2409.18206
Autor:
Gorantla, Pranay, Huang, Tzu-Chen
We propose and analyze a deformation of the 3+1d lattice $\mathbb Z_2$ gauge theory that preserves the non-invertible Wegner duality symmetry at the self-dual point. We identify a frustration-free point along this deformation where there are nine exa
Externí odkaz:
http://arxiv.org/abs/2409.10612
Tensor networks provide a natural language for non-invertible symmetries in general Hamiltonian lattice models. We use ZX-diagrams, which are tensor network presentations of quantum circuits, to define a non-invertible operator implementing the Wegne
Externí odkaz:
http://arxiv.org/abs/2406.12978
We show that the size of maximum cut in a planar graph with $m$ edges is at least $2m/3$. We also show that maximal planar graphs saturate this bound.
Comment: The main result already appeared in an answer to a question posted on math stack exch
Comment: The main result already appeared in an answer to a question posted on math stack exch
Externí odkaz:
http://arxiv.org/abs/2301.09170
We introduce a $\mathbb{Z}_N$ stabilizer code that can be defined on any spatial lattice of the form $\Gamma\times C_{L_z}$, where $\Gamma$ is a general graph. We also present the low-energy limit of this stabilizer code as a Euclidean lattice action
Externí odkaz:
http://arxiv.org/abs/2210.03727
The 2+1d continuum Lifshitz theory of a free compact scalar field plays a prominent role in a variety of quantum systems in condensed matter physics and high energy physics. It is known that in compact space, it has an infinite ground state degenerac
Externí odkaz:
http://arxiv.org/abs/2209.10030
We introduce two exotic lattice models on a general spatial graph. The first one is a matter theory of a compact Lifshitz scalar field, while the second one is a certain rank-2 $U(1)$ gauge theory of fractons. Both lattice models are defined via the
Externí odkaz:
http://arxiv.org/abs/2207.08585
Publikováno v:
In Proceedings of the Symposium on Discrete Algorithms (SODA 2023); pp. 304-331
We study the problem of fairly allocating a multiset $M$ of $m$ indivisible items among $n$ agents with additive valuations. Specifically, we introduce a parameter $t$ for the number of distinct types of items and study fair allocations of multisets
Externí odkaz:
http://arxiv.org/abs/2202.05186
We study field theories with global dipole symmetries and gauge dipole symmetries. The famous Lifshitz theory is an example of a theory with a global dipole symmetry. We study in detail its 1+1d version with a compact field. When this global symmetry
Externí odkaz:
http://arxiv.org/abs/2201.10589
We study 't Hooft anomalies and the related anomaly inflow for subsystem global symmetries. These symmetries and anomalies arise in a number of exotic systems, including models with fracton order such as the X-cube model. As is the case for ordinary
Externí odkaz:
http://arxiv.org/abs/2110.09529