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

M. Serbyn, Z. Papić, D. Abanin, Physical Review Letters 111 (2013).


Journal Article | Published
Author
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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.
Publishing Year
Date Published
2013-09-17
Journal Title
Physical Review Letters
Acknowledgement
We thank J. Moore for useful discussions. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Economic Development & Innovation. Z. P. was supported by DOE Grant No. DE-SC0002140. M. S. was supported by the National Science Foundation under Grant No. DMR-1104498. The simulations presented in this article were performed on computational resources supported by the High Performance Computing Center (PICSciE) at Princeton University.
Volume
111
Issue
12
IST-REx-ID

Cite this

Serbyn M, Papić Z, Abanin D. Local conservation laws and the structure of the many body localized states. Physical Review Letters. 2013;111(12). doi:10.1103/PhysRevLett.111.127201
Serbyn, M., Papić, Z., & Abanin, D. (2013). Local conservation laws and the structure of the many body localized states. Physical Review Letters, 111(12). https://doi.org/10.1103/PhysRevLett.111.127201
Serbyn, Maksym, Zlatko Papić, and Dmitry Abanin. “Local Conservation Laws and the Structure of the Many Body Localized States.” Physical Review Letters 111, no. 12 (2013). https://doi.org/10.1103/PhysRevLett.111.127201.
M. Serbyn, Z. Papić, and D. Abanin, “Local conservation laws and the structure of the many body localized states,” Physical Review Letters, vol. 111, no. 12, 2013.
Serbyn M, Papić Z, Abanin D. 2013. Local conservation laws and the structure of the many body localized states. Physical Review Letters. 111(12).
Serbyn, Maksym, et al. “Local Conservation Laws and the Structure of the Many Body Localized States.” Physical Review Letters, vol. 111, no. 12, American Physical Society, 2013, doi:10.1103/PhysRevLett.111.127201.

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