Phys. Rev. E 79, 056223 (2009) [4 pages]Statistics of Schmidt coefficients and the simulability of complex quantum systemsReceived 27 August 2008; revised 18 February 2009; published 26 May 2009 We show that the transition from regular to chaotic spectral statistics in interacting many-body quantum systems has an unambiguous signature in the distribution of Schmidt coefficients dynamically generated from a generic initial state, and thus limits the efficiency of the time-dependent density-matrix renormalization-group algorithm. We investigate this mechanism on the tilted Bose-Hubbard model; however the emergence of universal spectral properties allows translation of our conclusions to generic many-body quantum systems. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.79.056223
DOI:
10.1103/PhysRevE.79.056223
PACS:
05.45.Mt, 05.50.+q, 05.45.Pq, 67.85.Hj
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