Limit Cycles from the Similarity Renormalization Group

2015/04/17 by P. Niemann, H.‐W. Hammer, Niemann, P. +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.1504.04511

openalex publication_date 2015/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate renormalization group limit cycles within the similarity renormalization group (SRG) and discuss their signatures in the evolved interaction. A quantitative method to detect limit cycles in the interaction and to extract their period is proposed. Several SRG generators are compared regarding their suitability for this purpose. As a test case, we consider the limit cycle of the inverse square potential.

Citations

• Flow‐equations for Hamiltonians

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