Quantum criticality and spin liquid phase in the Shastry-Sutherland model

J Yang, AW Sandvik, L Wang - Physical Review B, 2022 - APS
Using the density-matrix renormalization group method for the ground state and excitations
of the Shastry-Sutherland spin model, we demonstrate the existence of a narrow quantum …

Theory of triangulene two-dimensional crystals

R Ortiz, G Catarina, J Fernández-Rossier - 2D Materials, 2022 - iopscience.iop.org
Theory of triangulene two-dimensional crystals - IOPscience This site uses cookies. By
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Preparing valence-bond-solid states on noisy intermediate-scale quantum computers

B Murta, PMQ Cruz, J Fernández-Rossier - Physical Review Research, 2023 - APS
Quantum state preparation is a key step in all digital quantum simulation algorithms. Here
we propose methods to initialize on a gate-based quantum computer a general class of …

Efficient adiabatic preparation of tensor network states

ZY Wei, D Malz, JI Cirac - Physical Review Research, 2023 - APS
We propose and study a specific adiabatic path to prepare those tensor network states that
are unique ground states of few-body parent Hamiltonians in finite lattices, which include …

Some aspects of Affleck–Kennedy–Lieb–Tasaki models: Tensor network, physical properties, spectral gap, deformation, and quantum computation

TC Wei, R Raussendorf, I Affleck - … in Spin Chains: From Theory to …, 2022 - Springer
Abstract Affleck, Kennedy, Lieb, and Tasaki constructed a spin-1 model that is isotropic in
spins and possesses a provable finite gap above the ground state more than three decades …

Demonstrating the Affleck-Kennedy-Lieb-Tasaki spectral gap on 2D degree-3 lattices

N Pomata, TC Wei - Physical review letters, 2020 - APS
We report results on solving a long outstanding problem—whether the two-dimensional spin-
3/2 antiferromagnetic valence-bond model of Affleck, Kennedy, Lieb, and Tasaki (AKLT) …

Quasi-locality bounds for quantum lattice systems. Part II. Perturbations of frustration-free spin models with gapped ground states

B Nachtergaele, R Sims, A Young - Annales Henri Poincaré, 2022 - Springer
We study the stability with respect to a broad class of perturbations of gapped ground-state
phases of quantum spin systems defined by frustration-free Hamiltonians. The core result of …

Efficient verification of Affleck-Kennedy-Lieb-Tasaki states

T Chen, Y Li, H Zhu - Physical Review A, 2023 - APS
Affleck-Kennedy-Lieb-Tasaki (AKLT) states are an important class of many-body quantum
states that are useful in quantum information processing, including measurement-based …

Haldane phases and phase diagrams of the and bilinear-biquadratic Heisenberg model on the orthogonal dimer chain

K Ren, M Wu, SS Gong, DX Yao, HQ Wu - Physical Review B, 2023 - APS
We systematically study the effects of higher-order interactions on the S= 3 2, 1 orthogonal
dimer chains using exact diagonalization and density matrix renormalization group. Due to …

Random translation-invariant Hamiltonians and their spectral gaps

I Jauslin, M Lemm - Quantum, 2022 - quantum-journal.org
We consider random translation-invariant frustration-free quantum spin Hamiltonians on
$\mathbb Z^ D $ in which the nearest-neighbor interaction in every direction is randomly …