Symmetry-conserving purification of quantum states within the density matrix renormalization group

Nocera, Alberto; Alvarez, Gonzalo

doi:10.1103/PhysRevB.93.045137

Title: Symmetry-conserving purification of quantum states within the density matrix renormalization group

Journal Article · Thu Jan 28 00:00:00 EST 2016 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.93.045137· OSTI ID:1236593

Nocera, Alberto ^[1]; Alvarez, Gonzalo ^[1]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

The density matrix renormalization group (DMRG) algorithm was originally designed to efficiently compute the zero-temperature or ground-state properties of one-dimensional strongly correlated quantum systems. The development of the algorithm at finite temperature has been a topic of much interest, because of the usefulness of thermodynamics quantities in understanding the physics of condensed matter systems, and because of the increased complexity associated with efficiently computing temperature-dependent properties. The ancilla method is a DMRG technique that enables the computation of these thermodynamic quantities. In this paper, we review the ancilla method, and improve its performance by working on reduced Hilbert spaces and using canonical approaches. Furthermore we explore its applicability beyond spins systems to t-J and Hubbard models.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1236593

Alternate ID(s):: OSTI ID: 1236403

Journal Information:: Physical Review, B: Condensed Matter, Vol. 93, Issue 4; ISSN 0163-1829

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 18 works

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Thermofield theory for finite-temperature quantum chemistry Harsha, Gaurav; Henderson, Thomas M.; Scuseria, Gustavo E. The Journal of Chemical Physics, Vol. 150, Issue 15 https://doi.org/10.1063/1.5089560	journal	April 2019
Finite temperature dynamics of the Mott insulating Hubbard chain Nocera, Alberto; Essler, Fabian H. L.; Feiguin, Adrian E. arXiv https://doi.org/10.48550/arxiv.1710.06452	text	January 2017
Spinon Confinement and a Sharp Longitudinal Mode in Yb$_2$Pt$_2$Pb in Magnetic Fields Gannon, W. J.; Zaliznyak, I. A.; Wu, L. S. arXiv https://doi.org/10.48550/arxiv.1907.01067	text	January 2019

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