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Realizing exactly solvable SU(N) magnets with thermal atoms.

ABSTRACT: We show that n thermal fermionic alkaline-earth-metal atoms in a flat-bottom trap allow one to robustly implement a spin model displaying two symmetries: the S n symmetry that permutes atoms occupying different vibrational levels of the trap and the SU(N) symmetry associated with N nuclear spin states. The symmetries make the model exactly solvable, which, in turn, enables the analytic study of dynamical processes such as spin diffusion in this SU(N) system. We also show how to use this system to generate entangled states that allow for Heisenberg-limited metrology. This highly symmetric spin model should be experimentally realizable even when the vibrational levels are occupied according to a high-temperature thermal or an arbitrary nonthermal distribution.

SUBMITTER: Beverland ME

PROVIDER: S-EPMC6604830 | biostudies-literature | 2016

REPOSITORIES: biostudies-literature

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Realizing exactly solvable SU(N) magnets with thermal atoms.

Beverland Michael E ME Alagic Gorjan G Martin Michael J MJ Koller Andrew P AP Rey Ana M AM Gorshkov Alexey V AV

Physical review. A 20160101

We show that n thermal fermionic alkaline-earth-metal atoms in a flat-bottom trap allow one to robustly implement a spin model displaying two symmetries: the S n symmetry that permutes atoms occupying different vibrational levels of the trap and the SU(N) symmetry associated with N nuclear spin states. The symmetries make the model exactly solvable, which, in turn, enables the analytic study of dynamical processes such as spin diffusion in this SU(N) ...[more]

PMID: 31276073

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