Local conservation laws and the structure of the many-body localized states.

By Maksym Serbyn, Z. Papi'c, D. Abanin. Physical Review Letters, 2013

720 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/639bd273835b215d4d03c0a7065abe6f0138f9cc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. V. Khemani
2. D. Abanin
3. D. Huse
4. A. Nahum
5. I. Bloch
6. Tomaz Prosen
7. S. Gopalakrishnan
8. Ashvin Vishwanath

In Condensed Matter Physics

1. V. Khemani
2. I. Bloch
3. Tomaz Prosen
4. Ashvin Vishwanath
5. R. Nandkishore
6. J. Imbrie
7. E. Altman
8. D. Huse

Citations in the corpus

• Statistical localization: From strong fragmentation to strong edge modes (2019, background): “Fixing the complete spin pattern is analogous to fixing the eigenvalues of all LIOMs in a many-body localized system, which determines a single eigenstate of the localized Hamiltonian [21, 22].”
• Constructing local integrals of motion in the many-body localized phase (2014, methodology): “Further, LIOMs constructed in this way are uniquely defined, and do not involve an arbitrary choice in labelling eigenstates (as in previously suggested schemes for constructing LIOMs [8, 10]).”
• Observation of many-body localization of interacting fermions in a quasirandom optical lattice (2015, background): “Further theoretical studies have established the many-body localized state as a distinct dynamical phase of matter that exhibits novel universal behavior [12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22].”
• Many-body localization: An introduction and selected topics (2017, neutral): “…for closed, isolated systems, a situation problematic for experiments due to the inevitable coupling with the environment While initial development of the MBL field was driven by theory (with numerics contributing actively), several major experiments, mostly on cold-atoms, changed the situation.”