http://www.cnr.it/ontology/cnr/individuo/prodotto/ID285967

Open Quantum Systems and the Parametric Representation: From Entanglement to Berry's Phase (Articolo in rivista)

Type

Articolo in rivista (Classe)
Prodotto della ricerca (Classe)

Label

Open Quantum Systems and the Parametric Representation: From Entanglement to Berry's Phase (Articolo in rivista) (literal)

Anno

2014-01-01T00:00:00+01:00 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi

10.1007/s10773-013-1749-2 (literal)

Alternative label

Dario Calvani (1); Alessandro Cuccoli (2); Nikitas I. Gidopoulos (3); Paola Verrucchi (4) (2014)
Open Quantum Systems and the Parametric Representation: From Entanglement to Berry's Phase
in International Journal of Theoretical Physics
(literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

Dario Calvani (1); Alessandro Cuccoli (2); Nikitas I. Gidopoulos (3); Paola Verrucchi (4) (literal)

Pagina inizio

3434 (literal)

Pagina fine

3446 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url

http://link.springer.com/article/10.1007%2Fs10773-013-1749-2 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

53 (literal)

Rivista

International Journal of Theoretical Physics (Rivista)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali

13 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo

10 (literal)

Note

ISI Web of Science (WOS) (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

(1). Dipartimento di Fisica, Università di Firenze, and INFN Sezione di Firenze, Via G. Sansone 1, 50019, Sesto Fiorentino (FI), Italy (2). Dipartimento di Fisica, Università di Firenze, INFN Sezione di Firenze, and CNISM Unità di Firenze, Via G. Sansone 1, 50019, Sesto Fiorentino (FI), Italy (3). Rutherford Appleton Laboratory, ISIS, STFC, Didcot, OX11 0QX, UK (4). Istituto dei Sistemi Complessi ISC-CNR, Dipartimento di Fisica, Università di Firenze, and INFN Sezione di Firenze, Via G. Sansone 1, 50019, Sesto Fiorentino (FI), Italy (literal)

Titolo

Open Quantum Systems and the Parametric Representation: From Entanglement to Berry's Phase (literal)

Abstract

Open quantum systems (OQS) are usually treated, in particular in the realm of quantum information theory and quantum computation, in terms of reduced density matrices, which provide a definition of the state of the principal system via the partial trace operation over the environment. This approach is a powerful tool to investigate relevant features of the open system evolution, especially when the physical situation allows for Markovian-like approximation schemes. On the other hand, the density matrix formulation and the subsequent approximation schemes induce an uncontrollable loss of information about the environmental structure, preventing some phenomena to be properly described. In this work we propose an alternative description of OQS, based on a parametric representation of the environment, as obtained in terms of generalized coherent states. The representation is used to describe a prototypical composite system, made of a spin- (the principal system) and a spin-S (the environment), interacting via a Heisenberg Hamiltonian. The resulting description shows that the emergence of a geometric (Berry) phase for a spin in an external magnetic field does follow from the fact that the true physical set up, of which the \"spin in a field\" is just a semiclassical-like parametric representation, is that of a quantum composite system in an entangled state. In fact, the Von Neumann entropy of the spin-, which is finite due to the existence of the environment (the spin-S), turns out to be the binary entropy of the normalized Berry's phase. (literal)

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