Fetching the paper…

Reading the bibliography…

2015

On the Existence of Monodromies for the Rabi model

da Cunha, Bruno Carneiro, de Almeida, Manuela Carvalho, de Queiroz, Amilcar Rabelo

Original
PDF
Post on X

Understand

We discuss the existence of monodromies associated with the singular points of the eigenvalue problem for the Rabi model.

The complete control of the full monodromy data requires the taming of the Stokes phenomenon associated with the unique irregular singular point.
The monodromy data, in particular the composite monodromy, are written in terms of the parameters of the model via the isomonodromy method and the tau-function of the Painlev\'e V.
These data provide a systematic way to obtain the quantized spectrum of the Rabi model.

On the Existence of Monodromies for the Rabi model · Around

Built on

I. I. Rabi, Phys. Rev. 49
1936
Earlier work this paper cites.
I. I. Rabi, Phys. Rev. 51
1937
Earlier work this paper cites.
B. R. Judd, Journal of Physics C: Solid State Physics 12
1979
Earlier work this paper cites.
M. Jimbo, T. Miwa, M. Sato, and Y. Mori, Physica D1
1980
Earlier work this paper cites.
M. Jimbo, T. Miwa, and A. K. Ueno, Physica D2
1981
Earlier work this paper cites.
T. Miwa, Publications of the Research Institute for Mathematical Sciences 17
1981
Earlier work this paper cites.
M. Jimbo, Publ. Res. Inst. Math. Sci. 18
1982
Earlier work this paper cites.
M. F. Atiyah and R. Bott, Phil. Trans. R. Soc. Lond. A308
1982
Earlier work this paper cites.

Similar

B. M. McCoy and S. Tang, Physica 18D
1985
Cited alongside, same era.
K. Iwasaki, H. Kimura, S. Shimomura, and M. Yoshida, From Gauss to Painlevé: A Modern Theory of Special Functions , Aspects of Mathematics E, Vol. 16 (Braunschweig, 1991)
1991
Cited alongside, same era.
F. Andreev and A. V. Kitaev, Nonlinearity 13
2000
Cited alongside, same era.
B. Dubrovin and M. Mazzocco, (2007), math/9806056
2007
Cited alongside, same era.
D. Braak, Phys. Rev. Lett. 107
2011
Cited alongside, same era.
J.-S. Caux and J. Mossel, Journal of Statistical Mechanics: Theory and Experiment 2011
2011
Cited alongside, same era.

Then

O. Gamayun, N. Iorgov, and O. Lisovyy, JHEP 1210
Original
2012
Later among the works it cites.
H. Zhong, Q. Xie, M. Batchelor, and C. Lee, J. Phys. A: Math. Theor. 46
Original
2013
Later among the works it cites.
O. Gamayun, N. Iorgov, and O. Lisovyy, J.Phys. A46
Original
2013
Later among the works it cites.
M. T. Batchelor and H.-Q. Zhou, (2014), 1408.3816
Original
2014
Later among the works it cites.
A. J. Maciejewski, M. Przybylska, and T. Stachowiak, Physics Letters A 378
Original
2014
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

C. A. Tracy and H. Widom, Publ. Res. Inst. Math. Sci. Kyoto 47

2011

Cited alongside, same era.

A. J. Maciejewski, M. Przybylska, and T. Stachowiak, (2012), 1210.1130

2012

Cited alongside, same era.

M. Jimbo and T. Miwa, Physica D2

Cited in the paper.

M. Jimbo and T. Miwa, Physica D4

Cited in the paper.

B. M. McCoy and S. Tang, Physica 19D

Cited in the paper.

B. M. McCoy and S. Tang, Physica 20D

Cited in the paper.

F. Novaes and B. Carneiro da Cunha, JHEP 1407

2014

Later among the works it cites.

B. Carneiro da Cunha and F. Novaes, (2015), 1506.06588

2015

Closest in time.