Local Conservation Laws and the Structure of the Many-Body Localized States

2013/05/31 by Maksym Serbyn, Zlatko Papić, Z. Papić +1 · 955 citations
Physics and Astronomy · #Classical mechanics #Coherence (philosophical gambling strategy) #Conservation law #Eigenvalues and eigenvectors #Motion (physics) #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Relaxation (psychology) #Statistical physics #cond-mat.dis-nn #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.111.127201

published in Physical Review Letters 111(12), 127201 (American Physical Society) · 4.5 pages, 2 figures; v2: published version

arxiv created 2013/09/17 · openalex publication_date 2013/09/17 · arxiv updated 2013/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct a complete set of local integrals of motion that characterize the many-body localized (MBL) phase. Our approach relies on the assumption that local perturbations act locally on the eigenstates in the MBL phase, which is supported by numerical simulations of the random-field XXZ spin chain. We describe the structure of the eigenstates in the MBL phase and discuss the implications of local conservation laws for its nonequilibrium quantum dynamics. We argue that the many-body localization can be used to protect coherence in the system by suppressing relaxation between eigenstates with different local integrals of motion.

Citations

• Many-body physics with ultracold gases
• Many-body localization in the HeisenbergXXZmagnet in a random field
• Microscopic diagonal entropy and its connection to basic thermodynamic relations
• Quantum quenches, thermalization, and many-body localization

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