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

Abstract

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.

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

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• Stabilizing coherence with nested environments: a numerical study using kicked Ising models
• Fidelity decay in interacting two-level boson systems: Freezing and revivals
• Quantum spin chains and random matrix theory