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Analytic response theory for the density matrix renormalization group.

Jonathan J Dorando1, Johannes Hachmann, Garnet Kin-Lic Chan

  • 1Department of Chemistry and Chemical Biology, Cornell University, Ithaca, New York 14853-1301, USA.

The Journal of Chemical Physics
|May 20, 2009
PubMed
Summary
This summary is machine-generated.

We introduce an analytic response theory for density matrix renormalization group (DMRG) calculations. This method accurately computes response properties, offering improved accuracy with fewer DMRG states.

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Area of Science:

  • Quantum many-body physics
  • Computational chemistry

Background:

  • Density matrix renormalization group (DMRG) is a powerful method for studying strongly correlated quantum systems.
  • Calculating response properties (e.g., polarizability) is crucial for understanding material behavior under external fields.
  • Existing methods for response properties in DMRG can be computationally intensive.

Purpose of the Study:

  • To develop a novel analytic response theory for DMRG.
  • To enable efficient and accurate calculation of static and frequency-dependent response properties.
  • To assess the performance of the new theory compared to existing methods.

Main Methods:

  • Formulation of analytic response theory as derivatives of DMRG observables.
  • Implementation of both static and frequency-dependent analytic response theories.
  • Pilot study calculating polarizabilities of oligodiacetylenes using the new theory.

Main Results:

  • The analytic response theory is successfully formulated and implemented.
  • Calculations of static and frequency-dependent polarizabilities were performed.
  • The analytic approach demonstrates competitive performance with dynamical DMRG methods.
  • Significantly improved accuracy was observed when using a limited number of DMRG states.

Conclusions:

  • Analytic response theory provides an efficient and accurate alternative for calculating DMRG response properties.
  • The method shows particular promise for systems where computational cost is a concern.
  • Further investigation into the strengths and weaknesses of the analytic approach is warranted.