Faster than Hermitian quantum mechanics.

  title={Faster than Hermitian quantum mechanics.},
  author={Carl M. Bender and Dorje C. Brody and H W Francis Jones and Bernhard K. Meister},
  journal={Physical review letters},
  volume={98 4},
Given an initial quantum state |psi(I)> and a final quantum state |psi(F)>, there exist Hamiltonians H under which |psi(I)> evolves into |psi(F)>. Consider the following quantum brachistochrone problem: subject to the constraint that the difference between the largest and smallest eigenvalues of H is held fixed, which H achieves this transformation in the least time tau? For Hermitian Hamiltonians tau has a nonzero lower bound. However, among non-Hermitian PT-symmetric Hamiltonians satisfying… CONTINUE READING

From This Paper

Topics from this paper.
30 Citations
5 References
Similar Papers


Publications referenced by this paper.
Showing 1-5 of 5 references

Science 306

  • V. Giovannetti, S. Lloyd, L. Maccone
  • 1330 (2004); M. A. Nielsen, M. R. Dowling, M. Gu…
  • 2006

A: Math

  • D. C. Brody, J. Phys
  • Gen. 36, 5587
  • 2003

A 34 L391 (2001); ibid

  • P. Dorey, C. Dunning, R. Tateo, J. Phys
  • 34, 5679
  • 2001
1 Excerpt


  • M. S. Morris, K. S. Thorne, U. Yurtsever
  • Rev. Lett. 61, 1446 (1988); M. S. Morris and K. S…
  • 1988

A somewhat similar observation regarding the difference between unitary and antiunitary transformations was made by E

  • P. .
  • J . Math . Phys .

Similar Papers

Loading similar papers…