期刊
PHYSICAL REVIEW A
卷 105, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.105.023326
关键词
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资金
- AFOSR [FA9550-18-1-0319, FA9550-19-1-0275]
- DARPA
- ARO [W911NF-19-1-0210, W911NF-16-1-0576]
- NSF [JILA-PFC PHY-1734006, OMA-2016244]
- U.S. Department of Energy,Office of Science, National Quantum Information Science Research Centers, Quantum Systems Accelerator (QSA)
- NIST
- QLCI Award [OMA-2016244]
We study multilevel fermions in an optical lattice described by the Hubbard model with on-site SU(n)-symmetric interactions. We find that this system can be mapped onto a spin model with all-to-all SU(n )-symmetric couplings when the parameters are appropriate. Raman pulses that address internal spin states modify the atomic dispersion relation and induce spin-orbit coupling, which competes with the SU(n) exchange interactions. We investigate the mean-field dynamical phase diagram of the resulting model as a function of n and different initial configurations that are accessible with Raman pulses. Consistent with previous studies for n = 2, we find that for some initial states the spin model exhibits two distinct dynamical phases that obey simple scaling relations with n. Moreover, for n > 2 we find that dynamical behavior can be highly sensitive to initial intraspin coherences. Our predictions are readily testable in current experiments with ultracold alkaline-earth-metal(-like) atoms.
We study multilevel fermions in an optical lattice described by the Hubbard model with on-site SU(n)-symmetric interactions. We show that in an appropriate parameter regime this system can be mapped onto a spin model with all-to-all SU(n )-symmetric couplings. Raman pulses that address internal spin states modify the atomic dispersion relation and induce spin-orbit coupling, which can act as a synthetic inhomogeneous magnetic field that competes with the SU(n) exchange interactions. We investigate the mean-field dynamical phase diagram of the resulting model as a function of n and different initial configurations that are accessible with Raman pulses. Consistent with previous studies for n = 2, we find that for some initial states the spin model exhibits two distinct dynamical phases that obey simple scaling relations with n. Moreover, for n > 2 we find that dynamical behavior can be highly sensitive to initial intraspin coherences. Our predictions are readily testable in current experiments with ultracold alkaline-earth-metal(-like) atoms.
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