Abstract
The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-de fined. We use a twist regularization to derive conditions for such singular solutions to be physical, in which case they correspond to genuine eigenvalues and eigenvectors of the Hamiltonian.
| Original language | English (US) |
|---|---|
| Article number | 505004 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 47 |
| Issue number | 50 |
| DOIs | |
| State | Published - Dec 19 2014 |
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Keywords
- Bethe ansatz
- Quantum spin chain
- Singular solutions
ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Modeling and Simulation
- Statistics and Probability
Cite this
Twisting singular solutions of Bethe's equations. / Nepomechie, Rafael; Wang, Chunguang.
In: Journal of Physics A: Mathematical and Theoretical, Vol. 47, No. 50, 505004, 19.12.2014.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Twisting singular solutions of Bethe's equations
AU - Nepomechie, Rafael
AU - Wang, Chunguang
PY - 2014/12/19
Y1 - 2014/12/19
N2 - The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-de fined. We use a twist regularization to derive conditions for such singular solutions to be physical, in which case they correspond to genuine eigenvalues and eigenvectors of the Hamiltonian.
AB - The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-de fined. We use a twist regularization to derive conditions for such singular solutions to be physical, in which case they correspond to genuine eigenvalues and eigenvectors of the Hamiltonian.
KW - Bethe ansatz
KW - Quantum spin chain
KW - Singular solutions
UR - http://www.scopus.com/inward/record.url?scp=84913572934&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84913572934&partnerID=8YFLogxK
U2 - 10.1088/1751-8113/47/50/505004
DO - 10.1088/1751-8113/47/50/505004
M3 - Article
AN - SCOPUS:84913572934
VL - 47
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 50
M1 - 505004
ER -