Information Geometry of Complex Hamiltonians and Exceptional Points

@article{Brody2013InformationGO,
  title={Information Geometry of Complex Hamiltonians and Exceptional Points},
  author={Dorje C. Brody and Eva-Maria Graefe},
  journal={Entropy},
  year={2013},
  volume={15},
  pages={3361-3378}
}
Information geometry provides a tool to systematically investigate parameter 1 sensitivity of the state of a system. If a physical system is described by a linear combination 2 of eigenstates of a complex (that is, non-Hermitian) Hamiltonian, then there can be phase 3 transitions where dynamical properties of the system change abruptly. In the vicinities of 4 the transition points, the state of the system becomes highly sensitive to the changes of the 5 parameters in the Hamiltonian. The… CONTINUE READING

From This Paper

Topics from this paper.

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-10 of 66 references

Information and the accuracy attainable in the estimation of statistical parameters

  • C. R. Rao
  • Bulletin of the Calcutta Mathematical Society
  • 1945
Highly Influential
12 Excerpts

Theory of statistical estimation

  • R. A. Fisher
  • Proceedings of the Cambridge Philosophical…
  • 1925
Highly Influential
10 Excerpts

Non-Hermitian Hamiltonians, decaying states, and perturbation 456 theory

  • M. M. Sternheim, J. F. Walker
  • Physical Review
  • 1972
Highly Influential
3 Excerpts

Statistical theory of equations of state and phase transitions. I. Theory of 381 condensation

  • C. N. Yang, T. D. Lee
  • Physical Review
  • 1952
Highly Influential
6 Excerpts

Statistical theory of equations of state and phase transitions. II. Lattice gas 383 and Ising model

  • T. D. Lee, C. N. Yang
  • Physical Review
  • 1952
Highly Influential
6 Excerpts

Observation of PT phase transition in a 429 simple mechanical system

  • C. M. Bender, B. K. Berntson, D. Parker, E. Samuel
  • American Journal of Physics
  • 2013

Observation of PT phase transition in a simple mechanical system

  • C. M. Bender, B. K. Berntson, D. Parker, E. Samuel
  • Am . J . Phys .
  • 2013

Similar Papers

Loading similar papers…