Abstract
We construct models describing interaction between a spin s and a single bosonic mode using a quantum inverse scattering procedure. The boundary conditions are generically twisted by generic matrices with both diagonal and off-diagonal entries. The exact solution is obtained by mapping the transfer matrix of the spin-boson system to an auxiliary problem of a spin-j coupled to the spin-s with general twist of the boundary condition. The corresponding auxiliary transfer matrix is diagonalized by a variation of the method of Q-matrices of Baxter. The exact solution of our problem is obtained applying certain large-j limit to su(2)j, transforming it into the bosonic algebra.
| Original language | English |
|---|---|
| Pages (from-to) | 387-391 |
| Number of pages | 5 |
| Journal | European Physical Journal B |
| Volume | 43 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Feb 1 2005 |
| Externally published | Yes |
Fingerprint
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
Cite this
Integrable spin-boson interaction in the Tavis-Cummings model from a generic boundary twist. / Amico, L.; Hikami, K.
In: European Physical Journal B, Vol. 43, No. 3, 01.02.2005, p. 387-391.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Integrable spin-boson interaction in the Tavis-Cummings model from a generic boundary twist
AU - Amico, L.
AU - Hikami, K.
PY - 2005/2/1
Y1 - 2005/2/1
N2 - We construct models describing interaction between a spin s and a single bosonic mode using a quantum inverse scattering procedure. The boundary conditions are generically twisted by generic matrices with both diagonal and off-diagonal entries. The exact solution is obtained by mapping the transfer matrix of the spin-boson system to an auxiliary problem of a spin-j coupled to the spin-s with general twist of the boundary condition. The corresponding auxiliary transfer matrix is diagonalized by a variation of the method of Q-matrices of Baxter. The exact solution of our problem is obtained applying certain large-j limit to su(2)j, transforming it into the bosonic algebra.
AB - We construct models describing interaction between a spin s and a single bosonic mode using a quantum inverse scattering procedure. The boundary conditions are generically twisted by generic matrices with both diagonal and off-diagonal entries. The exact solution is obtained by mapping the transfer matrix of the spin-boson system to an auxiliary problem of a spin-j coupled to the spin-s with general twist of the boundary condition. The corresponding auxiliary transfer matrix is diagonalized by a variation of the method of Q-matrices of Baxter. The exact solution of our problem is obtained applying certain large-j limit to su(2)j, transforming it into the bosonic algebra.
UR - http://www.scopus.com/inward/record.url?scp=17044411814&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=17044411814&partnerID=8YFLogxK
U2 - 10.1140/epjb/e2005-00068-8
DO - 10.1140/epjb/e2005-00068-8
M3 - Article
AN - SCOPUS:17044411814
VL - 43
SP - 387
EP - 391
JO - European Physical Journal B
JF - European Physical Journal B
SN - 1434-6028
IS - 3
ER -