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Open Quantum Systems Decoherence Quantum State Preparation Representation Quantum Simulation Entanglement Theory Quantum Correlations

Influence of Nambu-Goldstone mode on energy-weighted sum of excitation strengths in random-phase approximation

arXiv
Authors: H. Nakada

Year

2016

Paper ID

42317

Status

Preprint

Abstract Read

~2 min

Abstract Words

99

Citations

N/A

Abstract

Influence of the Nambu-Goldstone (NG) mode on the energy-weighted sum (EWS) of the excitation strengths is analyzed, within the random-phase approximation (RPA). When a certain symmetry is broken at the mean-field level, a NG mode emerges in the RPA, which can be represented by canonical variables forming a two-dimensional Jordan block. A general formula is rederived which separates out the NG-mode contribution to the EWS, via the projection on the subspace directed by the NG mode. As examples, the formula is applied to the E1 excitation and the rotational excitations in nuclei, further confirming theoretical consistency of the RPA.

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  • Influence of the Nambu-Goldstone (NG) mode on the energy-weighted sum (EWS) of the excitation strengths is analyzed, within the random-phase approximation (RPA).

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1611.06623 [2] arXiv https://arxiv.org/abs/1611.06623 [3] Publisher https://arxiv.org/abs/1611.06623

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