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Tagged with spin-chains entropy
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What is the appropriate 'Page Value' for entanglement entropy in a symmetry sector, say for example with a $U(1)$ symmetry?
Don Page derived the formula for the average entropy of a subsystem of a quantum system (assumed to be in a pure state), if the system is partitioned into two subsystems of dimensions $m$ and $n$, ...
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Is there a relationship between spin correlation and entanglement entropy?
Can someone explain whether there is a connection between spin correlation in say a 1D Heisenberg chain and its entanglement entropy? I'd say, albeit naively, that there is just from their concepts. ...
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Relationship between Hartley entropy and local dimension
I am recently reading a paper about entanglement entropy. It mentions that if we consider a 1D spin chain and write a pure state in the matrix product state:
\begin{align}
|\psi\rangle = A^{\sigma_1}A^...
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$S^+$ acting on a spin chain raises the entropy by at most $\ln(2)$
Consider the operator $S^+ = \sum_{i=1}^L S^+_i$ acting on a spin-chain of spin-1/2 particles.
Denote the half-chain Von Neumann entanglement entropy of a state $|\psi\rangle$ by $\mathbb{S}[|\psi\...
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How can you (computationally) calculate the halfchain entanglement entropy of a spinchain?
I am simulating a (small) spinchain with exact diagonalization and dynamics. I would like to track the entanglement entropy of half the chain with the other part of the chain.
I have the vectors of ...
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Average entropy of a subsystem
In this paper by Don Page, https://arxiv.org/pdf/gr-qc/9305007.pdf, He conjectures average entropy of a substem of dimension m with Hilbert space dimension mn, $m \leq n$. to be :
$ S_{mn} = \sum_{n+...
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