Relaxation due to random collisions with a many-qudit environment

Details Relaxation due to random collisions with a many-qudit environment Relaxation due to random collisions with a many-qudit environment

2008-11-21

arxiv.org/abs/0811.3581v1

Phys. Rev. A 79, 022105 (2009)

Physics

Quantum Physics

7 pages, 6 figures

Scientific paper

10.1103/PhysRevA.79.022105

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.

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