Integrable spin-boson interaction in the Tavis-Cummings model from a generic boundary twist

L. Amico, Kazuhiro Hikami

研究成果: ジャーナルへの寄稿記事

14 引用 (Scopus)

抄録

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.

元の言語英語
ページ(範囲)387-391
ページ数5
ジャーナルEuropean Physical Journal B
43
発行部数3
DOI
出版物ステータス出版済み - 2 1 2005
外部発表Yes

Fingerprint

Bosons
bosons
Boundary conditions
interactions
boundary conditions
inverse scattering
matrices
entry
Algebra
algebra
Scattering

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

これを引用

Integrable spin-boson interaction in the Tavis-Cummings model from a generic boundary twist. / Amico, L.; Hikami, Kazuhiro.

:: European Physical Journal B, 巻 43, 番号 3, 01.02.2005, p. 387-391.

研究成果: ジャーナルへの寄稿記事

@article{1faceafa762e420dbfe198b8e6ce2ed9,
title = "Integrable spin-boson interaction in the Tavis-Cummings model from a generic boundary twist",
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.",
author = "L. Amico and Kazuhiro Hikami",
year = "2005",
month = "2",
day = "1",
doi = "10.1140/epjb/e2005-00068-8",
language = "English",
volume = "43",
pages = "387--391",
journal = "European Physical Journal B",
issn = "1434-6028",
publisher = "Springer New York",
number = "3",

}

TY - JOUR

T1 - Integrable spin-boson interaction in the Tavis-Cummings model from a generic boundary twist

AU - Amico, L.

AU - Hikami, Kazuhiro

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

VL - 43

SP - 387

EP - 391

JO - European Physical Journal B

JF - European Physical Journal B

SN - 1434-6028

IS - 3

ER -