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Relaxation due to random collisions with a many-qudit environment | | Giuseppe Gennaro
; Giuliano Benenti
; G. Massimo Palma
; | | Date: |
21 Nov 2008 | | Abstract: | We 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. | | Source: | arXiv, 0811.3581 | | Services: | Forum | Review | PDF | Favorites | |
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