All Questions
Tagged with spin-chains many-body
7
questions
1
vote
1
answer
47
views
Example of an injective matrix product state (MPS)
I am struggling to understand what is an injective matrix product state (MPS). From the definition, it is said that an injective MPS $|M(A)\rangle$is one where the tensor $A$ has a projector $P(A)$ ...
3
votes
1
answer
147
views
What is the signal of a spin wave?
From what I understand, for example in the Ising model, we can probe the correlation function via neutron scattering, and the correlation function gives the magnetic susceptibility for the system. Is ...
0
votes
1
answer
72
views
Is there a name for a Heisenberg-like model, but instead of the ZZ operator, we have one that favor only spin-up-spin-up configurations?
I understand that the Quantum Heisenberg XXZ model in 1D has the form:
$$\hat H = \frac{1}{2} \sum_{j=1}^{N} (J_x \sigma_j^x \sigma_{j+1}^x + J_y \sigma_j^y \sigma_{j+1}^y + J_z \sigma_j^z \sigma_{j+1}...
2
votes
1
answer
223
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Jordan-Wigner Transformations on fermionic system
I've been trying to use Jordan-Wigner Transformations on a given fermionic Hamiltonian. The given Hamiltonian is: $$ \hat{H}= -\sum_{m=1}^{N}(J_z \hat{S}_{m}^{z} \hat{S}_{m+1}^{z} + \frac{J_{\perp}}{2}...
6
votes
2
answers
705
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Resource recommendation: Tensor Networks
I want to learn tensor network methods for condensed matter systems. I went through some basic papers (i.e. 1,2) and come to know that there are many things (i.e. different math, tensors, ...
5
votes
0
answers
408
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Density Matrix Renormalization Group (DMRG) and Bethe ansatz for 1D Hubbard model
Has Density Matrix Renormalization Group (DMRG) been benchmarked against the exact Bethe ansatz result for the one dimensional Hubbard chain? If yes, then what are the relevant references?
5
votes
2
answers
600
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Differentiating between Tensor Networks
I am trying to study tensor networks and their application to quantum phase transitions. However, I had a question concerning the connection between the projected entangled-pair states (PEPS) and the ...