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… 
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References

SHOWING 1-10 OF 80 REFERENCES
Entanglement spectra of quantum Heisenberg ladders.
TLDR
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.
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
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.
TLDR
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
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.
TLDR
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.
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.
TLDR
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
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
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
...
...