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Truncation scheme of time-dependent density-matrix approach III

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Abstract.

The time-dependent density-matrix theory (TDDM) where the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy for reduced density matrices is truncated by approximating a three-body density matrix with one-body and two-body density matrices is applied to the Lipkin model. It is shown that in the large N limit the ground state in TDDM approaches the exact solution. Various truncation schemes for the three-body density matrix are also tested for an extended three-level Lipkin model.

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Authors and Affiliations

  1. Kyorin University School of Medicine, 181-8611, Mitaka, Tokyo, Japan

    Mitsuru Tohyama

  2. Institut de Physique Nucléaire, IN2P3-CNRS, Université Paris-Sud, F-91406, Orsay Cedex, France

    Peter Schuck

  3. Laboratoire de Physique et de Modélisation des Milieux Condensés, CNRS et Université Joseph Fourier, 25 Av. des Martyrs, BP 166, F-38042, Grenoble Cedex 9, France

    Peter Schuck

Authors
  1. Mitsuru Tohyama
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  2. Peter Schuck
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Correspondence to Mitsuru Tohyama.

Additional information

Communicated by T. Duguet

Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors' comment: All data generated during this study are contained in this published article.]

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Tohyama, M., Schuck, P. Truncation scheme of time-dependent density-matrix approach III. Eur. Phys. J. A 55, 74 (2019). https://doi.org/10.1140/epja/i2019-12746-x

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  • DOI: https://doi.org/10.1140/epja/i2019-12746-x

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