Sharp uncertainty relations for number and angle

Paul Busch, Jukka Kiukas, R. F. Werner

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

4 Dyfyniadau(SciVal)
152 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

We study uncertainty relations for pairs of conjugate variables like number and angle, of which one takes integer values and the other takes values on the unit circle. The translation symmetry of the problem in either variable implies that measurement uncertainty and preparation uncertainty coincide quantitatively, and the bounds depend only on the choice of two metrics used to quantify the difference of number and angle outputs, respectively. For each type of observable, we discuss two natural choices of metric and discuss the resulting optimal bounds with both numerical and analytical methods. We also develop some simple and explicit (albeit not sharp) lower bounds, using an apparently new method for obtaining certified lower bounds to ground state problems.

Iaith wreiddiolSaesneg
Rhif yr erthygl042102
CyfnodolynJournal of Mathematical Physics
Cyfrol59
Rhif cyhoeddi4
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 05 Ebr 2018

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