The two-body random spin ensemble and a new type of quantum phase transition

Details The two-body random spin ensemble and a new type of quantum phase transition The two-body random spin ensemble and a new type of quantum phase transition

2007-11-08

arxiv.org/abs/0711.1218v1

New J. Phys. 10 (2008) 023020

Physics

Quantum Physics

15 pages, 6 eps figures, submitted to New J. Phys

Scientific paper

10.1088/1367-2630/10/2/023020

We study the properties of a two-body random matrix ensemble for distinguishable spins. We require the ensemble to be invariant under the group of local transformations and analyze a parametrization in terms of the group parameters and the remaining parameters associated with the "entangling" part of the interaction. We then specialize to a spin chain with nearest neighbour interactions and numerically find a new type of quantum phase transition related to the strength of a random external field i.e. the time reversal breaking one body interaction term.

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