Geometry of quantum evolution

J. Anandan*, Y. Aharonov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

For an arbitrary quantum evolution, it is shown that the integral of the uncertainty of energy with respect to time is independent of the particular Hamiltonian used to transport the quantum system along a given curve in the projective Hilbert space. It is the distance along this curve measured by the Fubini-Study metric. This gives a new time-energy uncertainty principle. New geometric meanings to time as measured by a clock and the transition probability during a quantum measurement are also obtained.

Original languageEnglish
Pages (from-to)1697-1700
Number of pages4
JournalPhysical Review Letters
Volume65
Issue number14
DOIs
StatePublished - 1990
Externally publishedYes

Fingerprint

Dive into the research topics of 'Geometry of quantum evolution'. Together they form a unique fingerprint.

Cite this