Phenomenology of fully many-body-localized systems
By D. Huse, V. Oganesyan. 2013
722 citations recorded by the source corpus.
Initiative for the Theoretical Sciences, The Graduate Center, CUNY, New York, NY 10016, USA(Dated: August 20, 2014)We consider fully many-body localized systems, i.e. isolated quantum systems where all themany-body eigenstates of the Hamiltonian are localized. We define a sense in which such systems areintegrable, with localized conserved operators. These localized operators are interacting pseudospins,and the Hamiltonian is such that unitary time evolution produces dephasing but not ‘flips’ of thesepseudospins. As a result, an initial quantum state of a pseudospin can in principle be recoveredvia (pseudospin) echo procedures. We discuss how the exponentially decaying interactions betweenpseudospins lead to logarithmic-in-time spreading of entanglement starting from nonentangled initialstates. These systems exhibit multiple different length scales that can be defined from exponentialfunctions of distance; we suggest that some of these decay lengths diverge at the phase transitionout of the fully many-body localized phase while others remain finite.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/650ace1f4989eb35c7639887fc4c2c6768d02bd2
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In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Local integrals of motion in many‐body localized systems (2016, background): “It was pointed out in [45] that, for an arbitrary many-body system with N degrees of freedom, any bijection between the eigenstates and the 2N binary strings |iα1iα2 · · · iαN 〉 with iα = ±1 (or iα ∈ {0, 1}) defines a complete set of conserved quantities Iα with binary spectrum {iα}.”