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Renormalization algorithm for the calculation of spectra of interacting quantum systems

Porras, D. and Verstraete, F. and Cirac, J. I. (2006) Renormalization algorithm for the calculation of spectra of interacting quantum systems. Physical Review B, 73 (1). Art. No. 014410. ISSN 1098-0121. doi:10.1103/PhysRevB.73.014410.

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We present an algorithm for the calculation of eigenstates with definite linear momentum in quantum lattices. Our method is related to the density matrix renormalization group, and makes use of the distribution of multipartite entanglement to build variational wave functions with translational symmetry. The algorithm is applied to the study of bilinear-biquadratic S=1 chains, in particular to the region of phase space between the dimerized and ferromagnetic phases.

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Additional Information:©2006 The American Physical Society (Received 25 October 2005; published 13 January 2006) We thank M. A. Martín Delgado, G. Ortiz, E. Demler, E. Altmann, and S. Montangero, for interesting discussions. The work was supported by DFG (SFB 631), European projects, Bayerischen Staatsregierung Quanteninformation, MEIF-CT-2004-010350, and the Gordon and Betty Moore Foundation (the Information Science and Technology Initiative, Caltech).
Subject Keywords:quantum solids; renormalisation; eigenvalues and eigenfunctions; linear momentum; quantum entanglement; wave functions; ferromagnetism
Issue or Number:1
Record Number:CaltechAUTHORS:PORprb06
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3069
Deposited By: Archive Administrator
Deposited On:12 May 2006
Last Modified:08 Nov 2021 19:53

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