Matches in SemOpenAlex for { <https://semopenalex.org/work/W4297847897> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4297847897 abstract "We consider the model of a quantum harmonic oscillator governed by a Lindblad master equation where the typical drive and loss channels are multi-photon processes instead of single-photon ones; this implies a dissipation operator of order 2k with integer k>1 for a k-photon process. We prove that the corresponding PDE makes the state converge, for large time, to an invariant subspace spanned by a set of k selected basis vectors; the latter physically correspond to so-called coherent states with the same amplitude and uniformly distributed phases. We also show that this convergence features a finite set of bounded invariant functionals of the state (physical observables), such that the final state in the invariant subspace can be directly predicted from the initial state. The proof includes the full arguments towards the well-posedness of the corresponding dynamics in proper Banach spaces of Hermitian trace-class operators equipped with adapted nuclear norms. It relies on the Hille-Yosida theorem and Lyapunov convergence analysis." @default.
- W4297847897 created "2022-10-01" @default.
- W4297847897 creator A5016288250 @default.
- W4297847897 creator A5065752316 @default.
- W4297847897 creator A5075696111 @default.
- W4297847897 date "2015-11-12" @default.
- W4297847897 modified "2023-09-27" @default.
- W4297847897 title "Well-posedness and convergence of the Lindblad master equation for a quantum harmonic oscillator with multi-photon drive and damping" @default.
- W4297847897 doi "https://doi.org/10.48550/arxiv.1511.03898" @default.
- W4297847897 hasPublicationYear "2015" @default.
- W4297847897 type Work @default.
- W4297847897 citedByCount "0" @default.
- W4297847897 crossrefType "posted-content" @default.
- W4297847897 hasAuthorship W4297847897A5016288250 @default.
- W4297847897 hasAuthorship W4297847897A5065752316 @default.
- W4297847897 hasAuthorship W4297847897A5075696111 @default.
- W4297847897 hasBestOaLocation W42978478971 @default.
- W4297847897 hasConcept C121332964 @default.
- W4297847897 hasConcept C12362212 @default.
- W4297847897 hasConcept C128805008 @default.
- W4297847897 hasConcept C134306372 @default.
- W4297847897 hasConcept C152026323 @default.
- W4297847897 hasConcept C190470478 @default.
- W4297847897 hasConcept C202444582 @default.
- W4297847897 hasConcept C2777059694 @default.
- W4297847897 hasConcept C32848918 @default.
- W4297847897 hasConcept C33923547 @default.
- W4297847897 hasConcept C34388435 @default.
- W4297847897 hasConcept C37914503 @default.
- W4297847897 hasConcept C40934718 @default.
- W4297847897 hasConcept C62520636 @default.
- W4297847897 hasConcept C62799726 @default.
- W4297847897 hasConcept C84114770 @default.
- W4297847897 hasConcept C94940 @default.
- W4297847897 hasConceptScore W4297847897C121332964 @default.
- W4297847897 hasConceptScore W4297847897C12362212 @default.
- W4297847897 hasConceptScore W4297847897C128805008 @default.
- W4297847897 hasConceptScore W4297847897C134306372 @default.
- W4297847897 hasConceptScore W4297847897C152026323 @default.
- W4297847897 hasConceptScore W4297847897C190470478 @default.
- W4297847897 hasConceptScore W4297847897C202444582 @default.
- W4297847897 hasConceptScore W4297847897C2777059694 @default.
- W4297847897 hasConceptScore W4297847897C32848918 @default.
- W4297847897 hasConceptScore W4297847897C33923547 @default.
- W4297847897 hasConceptScore W4297847897C34388435 @default.
- W4297847897 hasConceptScore W4297847897C37914503 @default.
- W4297847897 hasConceptScore W4297847897C40934718 @default.
- W4297847897 hasConceptScore W4297847897C62520636 @default.
- W4297847897 hasConceptScore W4297847897C62799726 @default.
- W4297847897 hasConceptScore W4297847897C84114770 @default.
- W4297847897 hasConceptScore W4297847897C94940 @default.
- W4297847897 hasLocation W42978478971 @default.
- W4297847897 hasLocation W42978478972 @default.
- W4297847897 hasLocation W42978478973 @default.
- W4297847897 hasLocation W42978478974 @default.
- W4297847897 hasLocation W42978478975 @default.
- W4297847897 hasOpenAccess W4297847897 @default.
- W4297847897 hasPrimaryLocation W42978478971 @default.
- W4297847897 hasRelatedWork W1679942080 @default.
- W4297847897 hasRelatedWork W1968021789 @default.
- W4297847897 hasRelatedWork W1969807816 @default.
- W4297847897 hasRelatedWork W1999238887 @default.
- W4297847897 hasRelatedWork W2042311025 @default.
- W4297847897 hasRelatedWork W2043070077 @default.
- W4297847897 hasRelatedWork W2044472143 @default.
- W4297847897 hasRelatedWork W2222217926 @default.
- W4297847897 hasRelatedWork W2352728058 @default.
- W4297847897 hasRelatedWork W4297847897 @default.
- W4297847897 isParatext "false" @default.
- W4297847897 isRetracted "false" @default.
- W4297847897 workType "article" @default.