2017/06/30 by Cécile Monthus, Cecile Monthus
Physics and Astronomy · #Degrees of freedom (physics and chemistry) #Eigenvalues and eigenvectors #Floquet theory #Hamiltonian (control theory) #Opinion Dynamics and Social Influence #Physics of Superconductivity and Magnetism #Quantum #Quantum many-body systems #Renormalization #Unitary state #cond-mat.dis-nn
paper · pdf · doi:10.1088/1751-8121/aac672
published as 2018 J. Phys. A: Math. Theor. 51 275302 · v2=revised version (12 pages)
openalex created_date 2017/06/30 · arxiv created 2018/04/03 · openalex publication_date 2018/06/04 · arxiv updated 2018/06/05 · openalex updated_date 2026/08/05
Abstract The Vosk–Altman strong disorder renormalization for the unitary dynamics of various random quantum spin chains is reformulated as follows: the local degree of freedom characterized by the highest eigenfrequency Ω can be considered as a high-frequency-Floquet-periodic-driving for the neighboring slower degrees of freedom. Then the two first orders of the high-frequency expansion for the effective Floquet Hamiltonian can be used to generate the emergent local integrals of motion (LIOMs) and to derive the renormalization rules for the effective dynamics of the remaining degrees of freedom. The flow for this effective Floquet Hamiltonian is equivalent to the RSRG-X procedure to construct the whole set of eigenstates that generalizes the Fisher RSRG procedure constructing the ground state. This general framework is applied to the random-transverse-field XXZ spin chain in its many-body-localized phase, in order to derive the renormalization rules associated to the elimination of the biggest transverse field and to the elimination of the biggest coupling respectively.