All Questions
5
questions
4
votes
0
answers
141
views
Energy gap of a Heisenberg model on bipartite lattices
Consider the antiferromagnetic Heisenberg model on some "graph" where each vertex corresponds to a spin-1/2 and the edges represent interaction between the vertices, i.e.,
\begin{equation}
\...
- 321
0
votes
0
answers
52
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Possible (Minor) Error in Original Lieb-Robinson Bound Paper
Introduction
I was reading through Lieb and Robinson's original paper introducing their eponymous bounds, and I came upon the following statement:
The task remains of corroborating our assertions ...
2
votes
1
answer
178
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Reduced density matrix of the edge spin-1/2 in AKLT spin chain
I am trying to understand the paper titled, "Entanglement in a Valence-Bond-Solid State" by Fan, Korepin, and Roychowdhury (https://arxiv.org/abs/quant-ph/0406067).
I was able to understand the ...
- 41
1
vote
0
answers
54
views
How to compute the MPS representation for a sequence of asymptotically gapped quantum spin chains
Suppose I have a sequence of gapped, spin-$1/2$, translationally invariant quantum spin chains $\{H_1, H_2,H_3\cdots\}$ with interactions of range $\leq 2$ (i.e. no further than nearest-neighbors).
...
- 985
2
votes
0
answers
83
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Spin Transition Energies
I am reading a paper:
http://arxiv.org/ftp/arxiv/papers/1305/1305.2445.pdf
On p. 22, the following Hamiltonian is given:
$$ H = \mu_B g \mathbf{B} \cdot \mathbf{S} + D(S_Z^2+\frac{1}{3}S(S+1)) + E(...
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