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
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
Tensor network simulation of the quantum Kibble-Zurek quench from the Mott to the superfluid phase in the two-dimensional Bose-Hubbard model
Sign Up to like & getrecommendations! Published in 2023 at "Physical Review B"
DOI: 10.1103/physrevb.107.144510
Abstract: Quantum simulations of the Bose-Hubbard model (BHM) at commensurate filling can follow spreading of correlations after a sudden quench for times long enough to estimate their propagation velocities. In this work we perform tensor network… read more here.
Keywords: quantum kibble; bose hubbard; hubbard model; network simulation ... See more keywords
Symmetries and field tensor network states
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review B"
DOI: 10.1103/physrevb.107.155102
Abstract: We study the interplay between symmetry representations of the physical and virtual space on the class of tensor network states for critical spins systems known as field tensor network states (fTNS). These are by construction… read more here.
Keywords: network states; tensor; symmetry; tensor network ... See more keywords
Isometric tensor network representations of two-dimensional thermal states
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DOI: 10.1103/physrevb.107.205106
Abstract: Tensor networks provide a useful tool to describe low-dimensional complex many-body systems. Finding efficient algorithms to use these methods for finite-temperature simulations in two dimensions is a continuing challenge. Here, we use the class of… read more here.
Keywords: tensor; network representations; thermal states; tensor network ... See more keywords
Tensor network based finite-size scaling for two-dimensional Ising model
Sign Up to like & getrecommendations! Published in 2023 at "Physical Review B"
DOI: 10.1103/physrevb.107.205123
Abstract: We propose a scheme to perform tensor network based finite-size scaling analysis for two-dimensional classical models. In the tensor network representation of the partition function, we use higher-order tensor renormalization group (HOTRG) method to coarse… read more here.
Keywords: size scaling; two dimensional; tensor; finite size ... See more keywords