Positive Hamiltonians can give purely exponential decay

Daniel Burgarth, Paolo Facchi

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

9 Dyfyniadau (Scopus)
181 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

It is commonly claimed that only Hamiltonians with a spectrum unbounded both above and below can give purely exponential decay. Because such Hamiltonians have no ground state, they are considered unphysical. Here we show that Hamiltonians that are bounded below can give purely exponential decay. This is possible when, instead of looking at the global survival probability, one considers a subsystem only: We show that the reduced state of the subsystem can exhibit a Markovian dynamics, and some (local) observables can decay exponentially. We conclude that purely exponential decay might not be as unphysical as previously thought
Iaith wreiddiolSaesneg
Rhif yr erthygl010103(R)
CyfnodolynPhysical Review A
Cyfrol96
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 20 Gorff 2017

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