Dynamical Recurrence and the Quantum Control of Coupled Oscillators


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dc.contributor.author Genoni, Marco
dc.contributor.author Serafini, Alessio
dc.contributor.author Kim, Myungshik
dc.contributor.author Burgarth, Daniel Klaus
dc.date.accessioned 2012-04-23T13:44:23Z
dc.date.available 2012-04-23T13:44:23Z
dc.date.issued 2012-04-09
dc.identifier.citation Genoni , M , Serafini , A , Kim , M & Burgarth , D K 2012 , ' Dynamical Recurrence and the Quantum Control of Coupled Oscillators ' Physical Review Letters , vol 108 , no. 15 , 150501 , pp. 108-113 . , 10.1103/PhysRevLett.108.150501 en
dc.identifier.issn 0031-9007
dc.identifier.other PURE: 175431
dc.identifier.other dspace: 2160/7820
dc.identifier.uri http://hdl.handle.net/2160/7820
dc.description Burgarth, D., Genoni, M., Serafini, A., Kim, M. Dynamical recurrence and the quantum control of coupled oscillators. Phys. Rev. Lett. 108, 150501 (2012) en
dc.description.abstract Controllability - the possibility of performing any target dynamics by applying a set of available operations - is a fundamental requirement for the practical use of any physical system. For finite-dimensional systems, such as spin systems, precise criteria to establish controllability, such as the so-called rank criterion, are well known. However, most physical systems require a description in terms of an infinite-dimensional Hilbert space whose controllability properties are poorly understood. Here, we investigate infinite-dimensional bosonic quantum systems - encompassing quantum light, ensembles of bosonic atoms, motional degrees of freedom of ions, and nanomechanical oscillators – governed by quadratic Hamiltonians (such that their evolution is analogous to coupled harmonic oscillators). After having highlighted the intimate connection between controllability and recurrence in the Hilbert space, we prove that, for coupled oscillators, a simple extra condition has to be fulfilled to extend the rank criterion to infinite-dimensional quadratic systems. Further, we present a useful application of our finding, by proving indirect controllability of a chain of harmonic oscillators. en
dc.format.extent 5 en
dc.language.iso eng
dc.relation.ispartof Physical Review Letters en
dc.title Dynamical Recurrence and the Quantum Control of Coupled Oscillators en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevLett.108.150501
dc.contributor.institution Quantum Systems, Information and Control en
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.description.status Peer reviewed en

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