- Access by Xinjiang University
Thermal conductance of a two-level atom coupled to two quantum harmonic oscillators
Phys. Rev. E 95, 042108 – Published 5 April, 2017
DOI: https://doi.org/10.1103/PhysRevE.95.042108
Abstract
We have determined the thermal conductance of a system consisting of a two-level atom coupled to two quantum harmonic oscillators in contact with heat reservoirs at distinct temperatures. The calculation of the heat flux as well as the atomic population and the rate of entropy production are obtained by the use of a quantum Fokker-Planck-Kramers equation and by a Lindblad master equation. The calculations are performed for small values of the coupling constant. The results coming from both approaches show that the conductance is proportional to the coupling constant squared and that, at high temperatures, it is proportional to the inverse of temperature.
Physics Subject Headings (PhySH)
Article Text
References (22)
- I. I. Rabi, Phys. Rev. 49, 324 (1936); 51, 652 (1937).
- M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1997).
- J. Larson, Physica Scr. 76, 146 (2007).
- D. Braak, Phys. Rev. Lett. 107, 100401 (2011).
- J. Larson, Phys. Rev. Lett. 108, 033601 (2012).
- L. Yu, S. Zhu, Q. Liang, G. Chen, and S. Jia, Phys. Rev. A 86, 015803 (2012).
- Q. Xie, H. Zhong, M. T. Batchelor, and C. Lee, J. Phys. A: Math. Theor. 50, 113001 (2017).
- J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
- T. Holstein, Ann. Phys. 8, 343 (1959).
- S. A. Chilingaryan and B. M. Rodriguez-Lara, J. Phys. B 48, 245501 (2015).
- R. J. Schoelkopf and S. M. Girvin, Nature (London) 451, 664 (2008).
- J. M. Martinis and K. Osborne, arXiv:cond-mat/0402415.
- J. Clarke and F. K. Whilhelm, Nature (London) 453, 1031 (2008).
- M. H. Devoret, A. Wallraff, and J. M. Martinis, arXiv:cond-mat/0411174.
- A. Blais, R.-S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. A 69, 062320 (2004).
- K. Saito, S. Takesue, and S. Miyashita, Phys. Rev. E 54, 2404 (1996).
- A. Asadian, D. Manzano, M. Tiersch, and H. J. Briegel, Phys. Rev. E 87, 012109 (2013).
- T. Tomé and M. J. de Oliveira, Phys. Rev. E 82, 021120 (2010).
- M. J. de Oliveira, Phys. Rev. E 94, 012128 (2016).
- E. Solano-Carrillo and A. J. Millis, Phys. Rev. B 93, 224305 (2016).
- E. Solano-Carrillo, Phys. Rev. E 94, 062116 (2016).
- H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).