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We study multilevel fermions in an optical lattice described by the Hubbard model with on site SU($n$)-symmetric interactions.
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P. Nataf, M. Lajkó, A. Wietek, K. Penc, F. Mila, and A. M. Läuchli, Chiral spin liquids in triangular-lattice SU( n n ) fermionic mott insulators with artificial gauge fields, Physical Review Letters 117
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C. Hofrichter, L. Riegger, F. Scazza, M. Höfer, D. R. Fernandes, I. Bloch, and S. Fölling, Direct probing of the mott crossover in the SU ( n ) \mathrm{SU}(n) fermi-hubbard model, Physical Review X 6
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2012
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L. Messio and F. Mila, Entropy dependence of correlations in one-dimensional SU ( n ) \mathrm{SU}(n) antiferromagnets, Physical Review Letters 109
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P. Nataf and F. Mila, Exact diagonalization of heisenberg SU( N N ) models, Physical Review Letters 113
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M. A. Cazalilla and A. M. Rey, Ultracold fermi gases with emergent SU ( n ) \mathrm{SU}(n) symmetry, Reports on Progress in Physics 77
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2016
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M. L. Wall, A. P. Koller, S. Li, X. Zhang, N. R. Cooper, J. Ye, and A. M. Rey, Synthetic Spin-Orbit Coupling in an Optical Lattice Clock, Physical Review Letters 116
2016
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L. F. Livi, G. Cappellini, M. Diem, L. Franchi, C. Clivati, M. Frittelli, F. Levi, D. Calonico, J. Catani, M. Inguscio, and L. Fallani, Synthetic Dimensions and Spin-Orbit Coupling with an Optical Clock Transition, Physical Review Letters 117
2016
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S. Kolkowitz, S. L. Bromley, T. Bothwell, M. L. Wall, G. E. Marti, A. P. Koller, X. Zhang, A. M. Rey, and J. Ye, Spin-orbit-coupled fermions in an optical lattice clock, Nature 542
2016
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A. Goban, R. B. Hutson, G. E. Marti, S. L. Campbell, M. A. Perlin, P. S. Julienne, J. P. D’Incao, A. M. Rey, and J. Ye, Emergence of multi-body interactions in a fermionic lattice clock, Nature 563
2018
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S. L. Bromley, S. Kolkowitz, T. Bothwell, D. Kedar, A. Safavi-Naini, M. L. Wall, C. Salomon, A. M. Rey, and J. Ye, Dynamics of interacting fermions under spin–orbit coupling in an optical lattice clock, Nature Physics 14
2018
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D. Lucarelli, Quantum optimal control via gradient ascent in function space and the time-bandwidth quantum speed limit, Physical Review A 97
2018
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M. A. Perlin and A. M. Rey, Effective multi-body SU( N N )-symmetric interactions of ultracold fermionic atoms on a 3D lattice, New Journal of Physics 21
2019
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P. He, M. A. Perlin, S. R. Muleady, R. J. Lewis-Swan, R. B. Hutson, J. Ye, and A. M. Rey, Engineering spin squeezing in a 3D optical lattice with interacting spin-orbit-coupled fermions, Physical Review Research 1
2019
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S. Smale, P. He, B. A. Olsen, K. G. Jackson, H. Sharum, S. Trotzky, J. Marino, A. M. Rey, and J. H. Thywissen, Observation of a transition between dynamical phases in a quantum degenerate Fermi gas, Science Advances 5
2019
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G. Bentsen, I.-D. Potirniche, V. B. Bulchandani, T. Scaffidi, X. Cao, X.-L. Qi, M. Schleier-Smith, and E. Altman, Integrable and Chaotic Dynamics of Spins Coupled to an Optical Cavity, Physical Review X 9
2019
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S. Choudhury, K. R. Islam, Y. Hou, J. A. Aman, T. C. Killian, and K. R. A. Hazzard, Collective modes of ultracold fermionic alkaline-earth-metal gases with SU( n n ) symmetry, Physical Review A 101
2020
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B. Song, Y. Yan, C. He, Z. Ren, Q. Zhou, and G.-B. Jo, Evidence for bosonization in a three-dimensional gas of SU ( n ) \mathrm{SU}(n) fermions, Physical Review X 10
2020
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L. Sonderhouse, C. Sanner, R. B. Hutson, A. Goban, T. Bilitewski, L. Yan, W. R. Milner, A. M. Rey, and J. Ye, Thermodynamics of a deeply degenerate SU( n n )-symmetric fermi gas, Nature Physics 16
2020
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M. A. Perlin and A. M. Rey, Short-time expansion of Heisenberg operators in open collective quantum spin systems, Physical Review A 101
2020
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R. J. Lewis-Swan, D. Barberena, J. R. K. Cline, D. J. Young, J. K. Thompson, and A. M. Rey, Cavity-QED Quantum Simulator of Dynamical Phases of a Bardeen-Cooper-Schrieffer Superconductor, Physical Review Letters 126
2021
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