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Statistical properties of the Hamiltonian generating phase state derived by using the generalized Hellmann–Feynman theorem

Author

Listed:
  • Fan, Hong-yi
  • Xu, Xue-xiang
  • Hu, Li-yun

Abstract

We study statistical properties of the Hamiltonian (H=ωa†a+κa†N+1+κN+1a) generating phase state. Using the generalized Hellmann–Feynman theorem for ensemble average, we derive its mean energy and find the ratio of the mean energies contributed from the term a†a to that from a†N+1+κN+1a. The relation on the entropy-variation with respect to the dynamic parameters ω and κ is also examined.

Suggested Citation

  • Fan, Hong-yi & Xu, Xue-xiang & Hu, Li-yun, 2010. "Statistical properties of the Hamiltonian generating phase state derived by using the generalized Hellmann–Feynman theorem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(10), pages 2014-2019.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:10:p:2014-2019
    DOI: 10.1016/j.physa.2009.12.054
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