Relaxation due to random collisions with a many-qudit environment

dc.creatorGennaro, Giuseppe
dc.creatorBenenti, Giuliano
dc.creatorPalma, G. Massimo
dc.date2008-11-21
dc.date.accessioned2026-07-07T12:38:06Z
dc.date.available2026-07-07T12:38:06Z
dc.descriptionWe analyze the dynamics of a system qudit of dimension mu sequentially interacting with the nu-dimensional qudits of a chain playing the ore of an environment. Each pairwise collision has been modeled as a random unitary transformation. The relaxation to equilibrium of the purity of the system qudit, averaged over random collisions, is analytically computed by means of a Markov chain approach. In particular, we show that the steady state is the one corresponding to the steady state for random collisions with a single environment qudit of effective dimension nu_e=nu*mu. Finally, we numerically investigate aspects of the entanglement dynamics for qubits (mu=nu=2) and show that random unitary collisions can create multipartite entanglement between the system qudit and the qudits of the chain.
dc.description7 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0811.3581
dc.identifierhttp://arxiv.org/abs/0811.3581
dc.identifierPhys. Rev. A 79, 022105 (2009)
dc.identifierdoi:10.1103/PhysRevA.79.022105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218640
dc.subjectQuantum Physics
dc.titleRelaxation due to random collisions with a many-qudit environment
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