Skip to main content

All Questions

6 votes
1 answer
259 views

Mathematical meaning for Algebraic Bethe Ansatz

I'm a mathematician who's trying to understand the meaning of Algebraic Bethe Ansatz. What I understood is that when dealing with quantum integrable models (like XXZ Heisenberg spin chain), one is ...
BlueCharlie's user avatar
0 votes
1 answer
102 views

Integrability of spin central model

I have a central model of this form $$H = \sum_{i=1}^{N} S^z_0\otimes S^z_i$$ where the $S^z_i$ acts on the $i$th element of the environment, i.e. the Hilbert space is of the following form $\mathcal{...
raskolnikov's user avatar
0 votes
1 answer
154 views

Troubles with Haldane Shastry Spin Chain

I'm reading the article "Exact solution of an S=1/2 Heisenberg antiferromagnetic chain with long-ranged interactions", which shows how to solve the problem of a long range-inverse squared ...
Giuseppe's user avatar
  • 162
2 votes
1 answer
2k views

Integrability of quantum spin models

Based on this wiki page: https://en.wikipedia.org/wiki/Heisenberg_model_(quantum) The XXZ model is exactly Bethe ansatz solvable, but based on this paper (pape 5): https://arxiv.org/abs/1011.0380, the ...
M. Zeng's user avatar
  • 2,301