2007/11/08 by Iztok Pizorn, Iztok Pižorn, Tomaž Prosen +5 · 1 citation
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum chaos and dynamical systems #Quantum many-body systems #quant-ph
paper · pdf · doi:10.1088/1367-2630/10/2/023020
published as New J. Phys. 10 (2008) 023020 · 15 pages, 6 eps figures, submitted to New J. Phys
arxiv created 2007/11/08 · openalex publication_date 2008/02/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We study in this paper 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.