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Local Conservation Laws and the Structure of the Many-Body Localized States
Open accessAbstract
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.
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Citations
Cites
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Cited by
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
Nandkishore, R., & Huse, D. A. (2015) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031214-014726 · Cited by 2,376
From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
D'Alessio, L., Kafri, Y., Polkovnikov, A., & Rigol, M. (2016) · Advances in Physics · doi:10.1080/00018732.2016.1198134 · Cited by 2,330
Weak ergodicity breaking from quantum many-body scars
Turner, C. J., Michailidis, A. A., Abanin, D. A., Serbyn, M., & Papić, Z. (2018) · Nature Physics · doi:10.1038/s41567-018-0137-5 · Cited by 988
Self-citationExploring the many-body localization transition in two dimensions
Choi, J.-Y., Hild, S., Zeiher, J., Schauß, P., Rubio-Abadal, A., Yefsah, T., Khemani, V., Huse, D. A., Bloch, I., & Gross, C. (2016) · Science · doi:10.1126/science.aaf8834 · Cited by 979
Phenomenology of fully many-body-localized systems
Huse, D. A., Nandkishore, R., & Oganesyan, V. (2014) · Physical Review B · doi:10.1103/physrevb.90.174202 · Cited by 938
Metadata
- Authors
- Serbyn, M., Papić, Z., & Abanin, D. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2013-09-17
- Volume
- 111
- Issue
- 12
- Pages
- 127201-127201
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1992350815
- Cited by
- 927
- References
- 1
- FWCI
- 29.47
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Serbyn, M., Papić, Z., & Abanin, D. A. (2013). Local Conservation Laws and the Structure of the Many-Body Localized States. Physical Review Letters. https://doi.org/10.1103/physrevlett.111.127201
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