Entanglement spectra of Heisenberg ladders of higher spin
@article{Schliemann2012EntanglementSO, title={Entanglement spectra of Heisenberg ladders of higher spin}, author={John Schliemann and Andreas M. L{\"a}uchli}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2012}, volume={2012} }
We study the entanglement spectrum of Heisenberg spin ladders of arbitrary spin length S in the perturbative regime of strong rung coupling. For isotropic spin coupling the entanglement spectrum is, within first-order perturbation theory, always proportional to the energy spectrum of the single chain with a proportionality factor that is also independent of S. In particular, although the spin ladder possesses an excitation gap over its ground state for any spin length, the entanglement spectrum…
13 Citations
Entanglement spectra and entanglement thermodynamics of Hofstadter bilayers
- Physics
- 2013
We study Hofstadter bilayers, i.e. coupled hopping models on two-dimensional square lattices in a perpendicular magnetic field. Upon tracing out one of the layers, we find an explicit expression for…
Entanglement Hamiltonian of Interacting Fermionic Models.
- PhysicsPhysical review letters
- 2018
This work introduces a technique to directly determine the entanglement Hamiltonian of interacting fermionic models by means of auxiliary field quantum Monte Carlo simulations and studies the evolution of the entangling Hamiltonian as a function of the physical temperature.
Entanglement spectra of superconductivity ground states on the honeycomb lattice
- Physics
- 2016
Abstract
We analytically evaluate the entanglement spectra of the superconductivity states in graphene, primarily focusing on the s-wave and chiral dx2-y2 + idxy superconductivity states. We…
N ov 2 01 8 Entanglement Hamiltonian of Interacting Fermionic Models
- Physics
- 2018
Recent numerical advances in the field of strongly correlated electron systems allow the calculation of the entanglement spectrum and entropies for interacting fermionic systems. An explicit…
Entanglement spectrum of fermionic bilayer honeycomb lattice: Hofstadter butterfly
- Physics
- 2016
We perform an analytical study of the energy and entanglement spectrum of non-interacting fermionic bilayer honeycomb lattices in the presence of trigonal warping in the energy spectrum, on-site…
Participation spectroscopy and entanglement Hamiltonian of quantum spin models
- Physics
- 2014
Shannon–Rényi entropies and associated participation spectra quantify how much a many-body wave-function is localized in a given configuration basis. Using these tools, we present an analysis of the…
Intercomponent entanglement entropy and spectrum in binary Bose-Einstein condensates
- Physics
- 2020
We study the entanglement entropy and spectrum between components in binary Bose-Einstein condensates in $d$ spatial dimensions. We employ effective field theory to show that the entanglement…
Entanglement Spectroscopy and its application to the fractional quantum Hall phases
- Physics
- 2013
The entanglement spectroscopy, initially introduced by Li and Haldane in the context of the fractional quantum Hall effects, has stimulated an extensive range of studies. The ent anglement spectrum…
Entanglement spectrum of graphene systems
- Physics
- 2017
In the present thesis, the properties of the entanglement spectra of the ground state of graphene bilayers Bernal-stacked is analytically investigated. In addition, the entanglement spectra of the…
Entanglement spectrum and entanglement Hamiltonian of a Chern insulator with open boundaries
- Physics
- 2014
We study the entanglement spectrum of a Chern insulator on a cylinder geometry, with the cut separating two partitions parallel to the cylinder edge at varying distances from the edge. In contrast to…
References
SHOWING 1-10 OF 80 REFERENCES
Entanglement spectra of quantum Heisenberg ladders.
- PhysicsPhysical review letters
- 2010
This work analyzes the entanglement spectrum of gapped two-leg quantum Heisenberg ladders on a periodic ribbon partitioned into two identical periodic chains, stating a direct correspondence between the low-energy entangler spectrum of a partitioned system and the true spectrum of the virtual edges.
Nonlocal order in gapless systems: entanglement spectrum in spin chains.
- PhysicsPhysical review letters
- 2010
We show that the entanglement spectrum can be used to define non-local order in gapless spin systems. We find a gap that fully separates a series of generic, high "entanglement energy" levels, from a…
Entanglement spectra of coupled S=1/2 spin chains in a ladder geometry
- Physics
- 2012
We study the entanglement spectrum of spin-$1/2$ $XXZ$ ladders both analytically and numerically. Our analytical approach is based on perturbation theory starting either from the limit of strong rung…
Entanglement spectra of complex paired superfluids.
- PhysicsPhysical review letters
- 2011
This work shows how the entanglement gap diverges as a model pairing function is approached, and using the Bardeen-Cooper-Schrieffer (BCS) form of the ground-state wave function on a cylinder, allows a simple and explicit exact solution for the ES.
Entanglement spectrum and entanglement thermodynamics of quantum Hall bilayers at ν = 1
- Physics
- 2011
We study the entanglement spectra of bilayer quantum Hall systems at total filling factor ν=1. In the interlayer-coherent phase at layer separations smaller than a critical value, the entanglement…
Boundary-locality and perturbative structure of entanglement spectra in gapped systems.
- PhysicsPhysical review letters
- 2012
Focusing on gapped phases of several one-dimensional systems, it is shown how this spectrum is dominated by contributions from the boundary between the parts, contradicting the view of an "entanglement Hamiltonian" as a bulk entity.
Entanglement gap and a new principle of adiabatic continuity.
- PhysicsPhysical review letters
- 2010
We give a complete definition of the entanglement gap separating low-energy, topological levels from high-energy, generic ones, in the "entanglement spectrum" of fractional quantum Hall (FQH) states.…
Entanglement entropy and entanglement spectrum of the Kitaev model.
- PhysicsPhysical review letters
- 2010
An exact formula is obtained for the entanglement entropy of the ground state and all excited states of the Kitaev model and a new quantity is proposed to characterize topologically ordered states--the capacity ofEntanglement, which can distinguish the topologically protected gapless entangler spectrum.
Entanglement spectrum of a topological phase in one dimension
- Physics
- 2010
We show that the Haldane phase of S=1 chains is characterized by a double degeneracy of the entanglement spectrum. The degeneracy is protected by a set of symmetries (either the dihedral group of…
Bulk-edge correspondence in entanglement spectra
- Physics
- 2011
Li and Haldane conjectured and numerically substantiated that the entanglement spectrum of the reduced density matrix of ground-states of time-reversal breaking topological phases (fractional quantum…