Tensor network and (p-adic) AdS/CFT
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep01(2018)139
Abstract: A bstractWe use the tensor network living on the Bruhat-Tits tree to give a concrete realization of the recently proposed p-adic AdS/CFT correspondence (a holographic duality based on the p-adic number field ℚp). Instead of… read more here.
Keywords: network adic; adic ads; ads cft; tensor network ... See more keywords
Semidual Kitaev lattice model and tensor network representation
Sign Up to like & getrecommendations! Published in 2021 at "Journal of High Energy Physics"
DOI: 10.1007/jhep09(2021)210
Abstract: Abstract Kitaev’s lattice models are usually defined as representations of the Drinfeld quantum double D(H) = H ⋈ H*op, as an example of a double cross product quantum group. We propose a new version based… read more here.
Keywords: tensor network; network representation; model; kitaev lattice ... See more keywords
Tensor network method for solving the Ising model with a magnetic field
Sign Up to like & getrecommendations! Published in 2025 at "Journal of the Korean Physical Society"
DOI: 10.1007/s40042-025-01350-5
Abstract: We study the two-dimensional square lattice Ising ferromagnet and antiferromagnet with a magnetic field by using tensor network method. Focusing on the role of gauge fixing, we present the partition function in terms of a… read more here.
Keywords: magnetic field; network method; tensor network; network ... See more keywords
On two-dimensional tensor network group symmetries
Sign Up to like & getrecommendations! Published in 2025 at "New Journal of Physics"
DOI: 10.1088/1367-2630/ae124f
Abstract: We introduce two-dimensional tensor-network representations of finite groups carrying a 4-cocycle index. We characterize the associated gapped (2+1)D phases that emerge when these anomalous symmetries act on tensor-network ground states. We further develop related tensor-network… read more here.
Keywords: dimensional tensor; tensor; tensor network; two dimensional ... See more keywords
Scalable tensor network algorithm for quantum impurity problems
Sign Up to like & getrecommendations! Published in 2025 at "Physical Review B"
DOI: 10.1103/7s3h-9crw
Abstract: The Grassmann time-evolving matrix product operator method has shown great potential as a general-purpose quantum impurity solver, as its numerical errors can be well-controlled and it is flexible to be applied on both the imaginary-… read more here.
Keywords: time; quantum impurity; tensor network; impurity ... See more keywords
Riemannian approach to the Lindbladian dynamics of a locally purified tensor network
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review A"
DOI: 10.1103/kztw-ywxr
Abstract: Tensor networks offer a valuable framework for implementing Lindbladian dynamics in many-body open quantum systems with nearest-neighbor couplings. In particular, a tensor network ansatz known as the Locally Purified Density Operator employs the local purification… read more here.
Keywords: approach; tensor network; lindbladian dynamics; locally purified ... See more keywords
Central charges of aperiodic holographic tensor-network models
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review A"
DOI: 10.1103/physreva.102.042407
Abstract: Central to the AdS/CFT correspondence is a precise relationship between the curvature of an anti-de Sitter (AdS) spacetime and the central charge of the dual conformal field theory (CFT) on its boundary. Our work shows… read more here.
Keywords: tensor network; central charges; network models; charges aperiodic ... See more keywords
Generalization of the exponential basis for tensor network representations of long-range interactions in two and three dimensions
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.100.155121
Abstract: In one dimension (1D), a general decaying long-range interaction can be fit to a sum of exponential interactions $e^{-\lambda r_{ij}}$ with varying exponents $\lambda$, each of which can be represented by a simple matrix product… read more here.
Keywords: tensor; tensor network; long range; basis ... See more keywords
Tensor network strategies for calculating biexcitons and trions in monolayer two-dimensional materials beyond the ground state
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review B"
DOI: 10.1103/physrevb.101.075302
Abstract: Recently in [Phys. Rev. B 99, 241301(R) (2019)] tensor networks build upon logical circuits were briefly introduced to retrieve exciton and biexciton states. Compared to a conventional approach the tensor network methods scales logarithmic instead… read more here.
Keywords: network strategies; tensor; tensor network; strategies calculating ... See more keywords
Boundary conformal spectrum and surface critical behavior of classical spin systems: A tensor network renormalization study
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review B"
DOI: 10.1103/physrevb.101.155418
Abstract: We numerically obtain the conformal spectrum of several classical spin models on a two-dimensional lattice with open boundaries, for each boundary fixed points obtained by the Cardy's derivation [J. L. Cardy, Nucl. Phys. B 324,… read more here.
Keywords: boundary conformal; conformal spectrum; tensor network; classical spin ... See more keywords
Pairwise connected tensor network representation of path integrals
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review B"
DOI: 10.1103/physrevb.105.024309
Abstract: It has been recently shown how the tensorial nature of real-time path integrals involving the Feynman-Vernon influence functional can be utilized using matrix product states, taking advantage of the finite length of the non-Markovian memory.… read more here.
Keywords: representation; tensor; tensor network; path ... See more keywords