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New application of non-Hermitian Hamiltonian operator in solving master equation for laser process |
Jun-Hua Chen(陈俊华, ), Hong-Yi Fan(范洪义) |
| Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China |
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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.
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| Keywords
non-Hermitian
master equation
laser process
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Corresponding Author(s):
Jun-Hua Chen(陈俊华),Email:cjh611@gmail.com
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Issue Date: 01 December 2012
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| 1 |
C. M. Bender, D. C. Brody, and H. F. Jones, Phys. Rev. Lett. , 2002, 89(27): 270401
doi: 10.1103/PhysRevLett.89.270401
|
| 2 |
C. M. Bender, K. A. Milton, and V. M. Savage, Phys. Rev. D , 2000, 62(8): 85001
doi: 10.1103/PhysRevD.62.085001
|
| 3 |
C. M. Bender, S. F. Brandt, J.-H. Chen, and Q. Wang, Phys. Rev. D , 2005, 71(2): 025014
doi: 10.1103/PhysRevD.71.025014
|
| 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
doi: 10.1016/S0375-9601(98)00509-X
|
| 8 |
H.-Y. Fan and Y. Fan, Phys. Lett. A , 2001, 282(4-5): 269
doi: 10.1016/S0375-9601(01)00198-0
|
| 9 |
J.-H. Chen, H.-Y. Fan, and N.-Q. Jiang, Chin. Phys. B , 2012, 21(8): 083201
doi: 10.1088/1674-1056/21/8/083201
|
| 10 |
J. Huang, M.-F. Fang, and X. Liu, Chin. Phys. B , 2012, 21(1): 014205
doi: 10.1088/1674-1056/21/1/014205
|
| 11 |
R. J. Glauber, Phys. Rev. , 1963, 131(6): 2766
doi: 10.1103/PhysRev.131.2766
|
| 12 |
E. C. G. Sudarshan, Phys. Rev. Lett. , 1963, 10(7): 277
doi: 10.1103/PhysRevLett.10.277
|
| 13 |
H.-Y. Fan and H. Zou, Phys. Lett. A , 1999, 252(6): 281
doi: 10.1016/S0375-9601(98)00900-1
|
| 14 |
H.-Y. Fan, H. Lu, W. Gao, and X. Xu, Ann. Phys. , 2006, 321(9): 2116
doi: 10.1016/j.aop.2006.01.010
|
| 15 |
Y. Fan and L.-Y. Hu, Front. Phys. , 2012, 7(3): 261
doi: 10.1007/s11467-011-0206-z
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