Construction of exact constants of motion and effective models for many-body localized systems
Goihl M, Gluza M, Krumnow C, Eisert J (2018)
Publication Type: Journal article
Publication year: 2018
Journal
Book Volume: 97
Article Number: 134202
Journal Issue: 13
DOI: 10.1103/PhysRevB.97.134202
Abstract
One of the defining features of many-body localization is the presence of many quasilocal conserved quantities. These constants of motion constitute a cornerstone to an intuitive understanding of much of the phenomenology of many-body localized systems arising from effective Hamiltonians. They may be seen as local magnetization operators smeared out by a quasilocal unitary. However, accurately identifying such constants of motion remains a challenging problem. Current numerical constructions often capture the conserved operators only approximately, thus restricting a conclusive understanding of many-body localization. In this work, we use methods from the theory of quantum many-body systems out of equilibrium to establish an alternative approach for finding a complete set of exact constants of motion which are in addition guaranteed to represent Pauli-z operators. By this we are able to construct and investigate the proposed effective Hamiltonian using exact diagonalization. Hence, our work provides an important tool expected to further boost inquiries into the breakdown of transport due to quenched disorder.
Involved external institutions
Germany (DE)How to cite
APA:
Goihl, M., Gluza, M., Krumnow, C., & Eisert, J. (2018). Construction of exact constants of motion and effective models for many-body localized systems. Physical Review B, 97(13). https://doi.org/10.1103/PhysRevB.97.134202
MLA:
Goihl, M., et al. "Construction of exact constants of motion and effective models for many-body localized systems." Physical Review B 97.13 (2018).
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