Entanglement perturbation theory for the elementary excitation in one dimension
@article{Chung2009EntanglementPT, title={Entanglement perturbation theory for the elementary excitation in one dimension}, author={Sunggi Chung and Lihua Wang}, journal={Physics Letters A}, year={2009}, volume={373}, pages={2277-2280} }
11 Citations
Effective Particles in Quantum Spin Chains: The Framework
- Physics
- 2017
In the previous chapter we have already highlighted the importance of emergent particles as the effective degrees of freedom that determine the properties of strongly-correlated quantum matter at low…
Entanglement perturbation theory for infinite quasi-1D quantum systems
- Physics
- 2011
We develop entanglement perturbation theory (EPT) for infinite Quasi-1D quantum systems. The spin-1/2 Heisenberg chain with ferromagnetic nearest neighbor (NN) and antiferromagnetic next nearest…
Entanglement Perturbation Theory for Antiferromagnetic Heisenberg Spin Chains
- Physics
- 2012
A recently developed numerical method, entanglement perturbation theory (EPT), is used to study the antiferromagnetic Heisenberg spin chains with z -axis anisotropy λ and magnetic field B . To…
Elementary excitations in gapped quantum spin systems.
- PhysicsPhysical review letters
- 2013
It is shown that for translation invariant systems, simultaneous eigenstates of energy and momentum with an eigenvalue that is separated from the rest of the spectrum in that momentum sector can be arbitrarily well approximated by building a momentum superposition of a local operator acting on the ground state.
Variational renormalization group methods for extended quantum systems
- Physics
- 2011
bipartition is equally possible. If O (A) and O (B) represent two observables that act non-trivially only on party A, respectively on party B , then the connected correlation function ΓA,B is defined…
Encoding of matrix product states into quantum circuits of one- and two-qubit gates
- PhysicsPhysical Review A
- 2020
Matrix product state (MPS) belongs to the most important mathematical models in, for example, condensed matter physics and quantum information sciences. However, to realize an $N$-qubit MPS with…
Signature of a quantum dimensional transition in the spin-
12
antiferromagnetic Heisenberg model on a square lattice and space reduction in the matrix product state
- Materials SciencePhysical Review B
- 2019
We study the spin-$\frac{1}{2}$ antiferromagnetic Heisenberg model on an $\ensuremath{\infty}\ifmmode\times\else\texttimes\fi{}N$ square lattice for even $N$'s up to 14. Previously, the nonlinear…
Simulations of quantum spin chains with translationally invariant Matrix Product States
- Physics
- 2012
Gegenstand der vorliegenden Arbeit ist die Entwicklung und Analyse neuer effizienter Algorithmen
zur Simulation stark gekoppelter Quantenspinketten. Unsere Methode beruht auf einer
bestimmten…
Review of Tensor Network Contraction Approaches
- Physics, Computer Science
- 2017
This review is designed to give an insightful and practical introduction to TN contraction algorithms, and presents two kinds of algorithms for simulating TN contractions: tensor renormalization group and tensor network encoding.
References
SHOWING 1-10 OF 20 REFERENCES
Introduction to the Bethe Ansatz II
- Physics
- 1998
Having introduced the magnon in part I and the spinon in part II as the relevant quasi-particles for the interpretation of the spectrum of low-lying excitations in the one-dimensional (1D) s=1/2…
Dominance of long-lived excitations in the antiferromagnetic spin-1 chain NENP.
- PhysicsPhysical review letters
- 1992
The dynamic spin correlation function for the quasi-one-dimensional S=1 antiferromagnet NENP is measured by inelastic magnetic neutron scattering, explicitly demonstrating the absence of broken translational symmetry in the ground state.
Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State
- Physics
- 1983
The continuum field theory describing the low-energy dynamics of the large-spin one-dimensional Heisenberg antiferromagnet is found to be the O(3) nonlinear sigma model. When weak easy-axis…
Exact correlation amplitude for the Heisenberg antiferromagnetic chain
- Physics
- 1998
The exact amplitude for the asymptotic correlation function in the Heisenberg antiferromagnetic chain is determined: The behaviour of the correlation functions for small xxz anisotropy and the form…
Numerical renormalization-group study of low-lying eigenstates of the antiferromagnetic S=1 Heisenberg chain.
- PhysicsPhysical review. B, Condensed matter
- 1993
A numerical renormalization-group study of the isotropic S=1 Heisenberg chain finds that the correlation length cannot be measured as accurately as the open-end decay length, and it appears that the two lengths are identical.
Correlation functions in periodic chains.
- PhysicsPhysical review. B, Condensed matter
- 1993
A simple form for the relation between correlation functions on finite periodic one-dimensional systems and the correlation function of the corresponding infinite system is presented and good agreement with quantum Monte Carlo results for the spin correlation functions is found.
Numerical renormalization-group study of the correlation functions of the antiferromagnetic spin-1/2 Heisenberg chain.
- PhysicsPhysical review. B, Condensed matter
- 1995
Logarithmic corrections to the scaling of the energies and to the correlation functions were obtained by Affleck et al. and applying conformalfield theory to Wess-Zumino-Witten non-linear-σmodels.