New application of non-Hermitian Hamiltonian operator in solving master equation for laser process

Abstract

We find that laser process can be equivalently described by a symplectic evolution in the context of thermo field dynamics, and the corresponding coherent state evolution for the corresponding master equation is recognized. More interestingly, this embodies a new application of non-Hermitian Hamiltonian operator which can well expose the entanglement between the system and its environment.

Keywords

non-Hermitian / master equation / laser process

References

[1] C. M. Bender, D. C. Brody, and H. F. Jones, Phys. Rev. Lett., 2002, 89(27): 270401

[2] C. M. Bender, K. A. Milton, and V. M. Savage, Phys. Rev. D, 2000, 62(8): 85001

[3] C. M. Bender, S. F. Brandt, J.-H. Chen, and Q. Wang, Phys. Rev. D, 2005, 71(2): 025014

[4] Memorial Issue for H. Umezawa, Int. J. Mod. Phys. B, 1996, 10, and references therein

[5] Y. Takahashi and H. H. Umezawa, Collective Phenomena, 1975, 2: 55

[6] H. H. Umezawa, H. Matsumoto, and M. Tachiki, Thermo Field Dynamics and Condensed States, Amsterdam: North- Holland Publishing Company, 1982

[7] H.-Y. Fan and Y. Fan, Phys. Lett. A, 1998, 246(3-4): 242

[8] H.-Y. Fan and Y. Fan, Phys. Lett. A, 2001, 282(4-5): 269

[9] J.-H. Chen, H.-Y. Fan, and N.-Q. Jiang, Chin. Phys. B, 2012, 21(8): 083201

[10] J. Huang, M.-F. Fang, and X. Liu, Chin. Phys. B, 2012, 21(1): 014205

[11] R. J. Glauber, Phys. Rev., 1963, 131(6): 2766

[12] E. C. G. Sudarshan, Phys. Rev. Lett., 1963, 10(7): 277

[13] H.-Y. Fan and H. Zou, Phys. Lett. A, 1999, 252(6): 281

[14] H.-Y. Fan, H. Lu, W. Gao, and X. Xu, Ann. Phys., 2006, 321(9): 2116

[15] Y. Fan and L.-Y. Hu, Front. Phys., 2012, 7(3): 261

RIGHTS & PERMISSIONS

Higher Education Press and Springer-Verlag Berlin Heidelberg