Hubbard, J. Electron correlations in narrow energy bands. Proc. R. Soc. Lond. A 276, 238–257 (1963).
Esslinger, T. Fermi-Hubbard physics with atoms in an optical lattice. Annu. Rev. Condens. Matter Phys. 1, 129–152 (2010).
Bohrdt, A., Homeier, L., Reinmoser, C., Demler, E. & Grusdt, F. Exploration of doped quantum magnets with ultracold atoms. Ann. Phys. 435, 168651 (2021).
Zheng, B.-X. et al. Stripe order in the underdoped region of the two-dimensional Hubbard model. Science 358, 1155–1160 (2017).
Timusk, T. & Statt, B. The pseudogap in high-temperature superconductors: an experimental survey. Rep. Prog. Phys. 62, 61 (1999).
Xiang, T. & Wu, C. D-wave Superconductivity (Cambridge Univ. Press, 2022).
Anderson, P. W. The resonating valence bond state in La2CuO4 and superconductivity. Science 235, 1196–1198 (1987).
Scalapino, D. J., Loh, E.Jr & Hirsch, J. E. d-wave pairing near a spin-density-wave instability. Phys. Rev. B 34, 8190–8192 (1986).
Lee, P. A., Nagaosa, N. & Wen, X.-G. Doping a Mott insulator: physics of high-temperature superconductivity. Rev. Mod. Phys. 78, 17–85 (2006).
Hart, R. A. et al. Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms. Nature 519, 211–214 (2015).
Mazurenko, A. et al. A cold-atom Fermi-Hubbard antiferromagnet. Nature 545, 462–466 (2017).
Campostrini, M., Hasenbusch, M., Pelissetto, A., Rossi, P. & Vicari, E. Critical exponents and equation of state of the three-dimensional Heisenberg universality class. Phys. Rev. B 65, 144520 (2002).
Arovas, D. P., Berg, E., Kivelson, S. A. & Raghu, S. The Hubbard model. Annu. Rev. Condens. Matter Phys. 13, 239–274 (2022).
Jördens, R., Strohmaier, N., Günter, K., Moritz, H. & Esslinger, T. A Mott insulator of fermionic atoms in an optical lattice. Nature 455, 204–207 (2008).
Schneider, U. et al. Metallic and insulating phases of repulsively interacting fermions in a 3D optical lattice. Science 322, 1520–1525 (2008).
Auerbach, A. Interacting Electrons and Quantum Magnetism (Springer, 1998).
Qin, M., Schäfer, T., Andergassen, S., Corboz, P. & Gull, E. The Hubbard model: a computational perspective. Annu. Rev. Condens. Matter Phys. 13, 275–302 (2022).
Giamarchi, T. Quantum Physics in One Dimension (Clarendon Press, 2003).
Georges, A., Kotliar, G., Krauth, W. & Rozenberg, M. J. Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions. Rev. Mod. Phys. 68, 13–125 (1996).
Schollwöck, U. The density-matrix renormalization group. Rev. Mod. Phys. 77, 259–315 (2005).
Gross, C. & Bloch, I. Quantum simulations with ultracold atoms in optical lattices. Science 357, 995–1001 (2017).
Greif, D., Uehlinger, T., Jotzu, G., Tarruell, L. & Esslinger, T. Short-range quantum magnetism of ultracold fermions in an optical lattice. Science 340, 1307–1310 (2013).
Gross, C. & Bakr, W. S. Quantum gas microscopy for single atom and spin detection. Nat. Phys. 17, 1316–1323 (2021).
Norman, M. R. The challenge of unconventional superconductivity. Science 332, 196–200 (2011).
Keimer, B., Kivelson, S. A., Norman, M. R., Uchida, S. & Zaanen, J. From quantum matter to high-temperature superconductivity in copper oxides. Nature 518, 179–186 (2015).
Navon, N., Smith, R. P. & Hadzibabic, Z. Quantum gases in optical boxes. Nat. Phys. 17, 1334–1341 (2021).
Li, X. et al. Second sound attenuation near quantum criticality. Science 375, 528–533 (2022).
Ho, T.-L. & Zhou, Q. Squeezing out the entropy of fermions in optical lattices. Proc. Natl Acad. Sci. USA 106, 6916–6920 (2009).
Corcovilos, T. A., Baur, S. K., Hitchcock, J. M., Mueller, E. J. & Hulet, R. G. Detecting antiferromagnetism of atoms in an optical lattice via optical Bragg scattering. Phys. Rev. A 81, 013415 (2010).
Staudt, R., Dzierzawa, M. & Muramatsu, A. Phase diagram of the three-dimensional Hubbard model at half filling. Eur. Phys. J. B 17, 411–415 (2000).
Kozik, E., Burovski, E., Scarola, V. W. & Troyer, M. Néel temperature and thermodynamics of the half-filled three-dimensional Hubbard model by diagrammatic determinant Monte Carlo. Phys. Rev. B 87, 205102 (2013).
Song, Y.-F., Deng, Y. & He, Y.-Y. Extended metal-insulator crossover with strong antiferromagnetic spin correlation in halffilled 3D Hubbard model. Preprint at https://arxiv.org/abs/2404.08745 (2024).
Hirsch, J. E. Simulations of the three-dimensional Hubbard model: Half-filled band sector. Phys. Rev. B 35, 1851–1859 (1987).
Domb, C. & Lebowitz, J. L. (eds) Phase Transitions and Critical Phenomena (Elsevier, 2000).
Paiva, T. et al. Cooling atomic gases with disorder. Phys. Rev. Lett. 115, 240402 (2015).
Duan, L.-M., Demler, E. & Lukin, M. D. Controlling spin exchange interactions of ultracold atoms in optical lattices. Phys. Rev. Lett. 91, 090402 (2003).
Schäfer, T., Katanin, A. A., Held, K. & Toschi, A. Interplay of correlations and Kohn anomalies in three dimensions: quantum criticality with a twist. Phys. Rev. Lett. 119, 046402 (2017).
Lenihan, C., Kim, A. J., Šimkovic, F. & Kozik, E. Evaluating second-order phase transitions with diagrammatic Monte Carlo: Néel transition in the doped three-dimensional Hubbard model. Phys. Rev. Lett. 129, 107202 (2022).
Vijayan, J. et al. Time-resolved observation of spin-charge deconfinement in fermionic Hubbard chains. Science 367, 186–189 (2020).
Senaratne, R. et al. Spin-charge separation in a one-dimensional Fermi gas with tunable interactions. Science 376, 1305–1308 (2022).
Li, X. et al. Observation and quantification of the pseudogap in unitary Fermi gases. Nature 626, 288–293 (2024).
Stewart, J., Gaebler, J. & Jin, D. Using photoemission spectroscopy to probe a strongly interacting Fermi gas. Nature 454, 744–747 (2008).
Ying, T. et al. Determinant quantum Monte Carlo study of d-wave pairing in the plaquette Hubbard Hamiltonian. Phys. Rev. B 90, 075121 (2014).
Hofstetter, W., Cirac, J. I., Zoller, P., Demler, E. & Lukin, M. D. High-temperature superfluidity of Fermionic atoms in optical lattices. Phys. Rev. Lett. 89, 220407 (2002).
Hartke, T., Oreg, B., Turnbaugh, C., Jia, N. & Zwierlein, M. Direct observation of nonlocal fermion pairing in an attractive Fermi-Hubbard gas. Science 381, 82–86 (2023).
Chen, Q., Stajic, J., Tan, S. & Levin, K. BCS-BEC crossover: from high temperature superconductors to ultracold superfluids. Phys. Rep. 412, 1–88 (2005).
Zwerger, W. (ed.) The BCS-BEC Crossover and the Unitary Fermi Gas (Springer, 2011).
Yao, X.-C. et al. Observation of coupled vortex lattices in a mass-imbalance Bose and Fermi superfluid mixture. Phys. Rev. Lett. 117, 145301 (2016).
Wang, X.-Q. et al. Oscillatory-like expansion of a Fermionic superfluid. Sci. Bull. 65, 7–11 (2020).
Liu, X.-P. et al. Universal dynamical scaling of quasi-two-dimensional vortices in a strongly interacting fermionic superfluid. Phys. Rev. Lett. 126, 185302 (2021).
Hasegawa, S., Ito, H., Toyoda, H. & Hayasaki, Y. Diffraction-limited ring beam generated by radial grating. OSA Contin. 1, 283–294 (2018).
Murthy, P. A. et al. Matter-wave Fourier optics with a strongly interacting two-dimensional Fermi gas. Phys. Rev. A 90, 043611 (2014).
Ketterle, W. & Zwierlein, M. W. Making, probing and understanding ultracold Fermi gases. Riv. del Nuovo Cim. 31, 247–422 (2008).
Ji, Y. et al. Stability of the repulsive Fermi gas with contact interactions. Phys. Rev. Lett. 129, 203402 (2022).
Bloch, I., Dalibard, J. & Zwerger, W. Many-body physics with ultracold gases. Rev. Mod. 80, 885–964 (2008).
Soifer, V. A. (ed.) Methods for Computer Design of Diffractive Optical Elements (Willey, 2002).
Werner, F., Parcollet, O., Georges, A. & Hassan, S. R. Interaction-induced adiabatic cooling and antiferromagnetism of cold fermions in optical lattices. Phys. Rev. Lett. 95, 056401 (2005).
Denschlag, J. H. et al. A Bose-Einstein condensate in an optical lattice. J. Phys. B 35, 3095 (2002).
Wu, Y.-P. et al. A quantum degenerate Bose–Fermi mixture of 41K and 6Li. J. Phys. B 50, 094001 (2017).
Schäfer, F., Fukuhara, T., Sugawa, S., Takasu, Y. & Takahashi, Y. Tools for quantum simulation with ultracold atoms in optical lattices. Nat. Rev. Phys. 2, 411–425 (2020).
Campbell, G. K. et al. Imaging the Mott insulator shells by using atomic clock shifts. Science 313, 649–652 (2006).
Greif, D., Tarruell, L., Uehlinger, T., Jördens, R. & Esslinger, T. Probing nearest-neighbor correlations of ultracold fermions in an optical lattice. Phys. Rev. Lett. 106, 145302 (2011).
Tokuno, A. & Giamarchi, T. Spin correlations and doublon production rate for fermionic atoms in modulated optical lattices. Phys. Rev. A 85, 061603 (2012).
Birkl, G., Gatzke, M., Deutsch, I. H., Rolston, S. L. & Phillips, W. D. Bragg scattering from atoms in optical lattices. Phys. Rev. Lett. 75, 2823–2826 (1995).
Miyake, H. et al. Bragg scattering as a probe of atomic wave functions and quantum phase transitions in optical lattices. Phys. Rev. Lett. 107, 175302 (2011).
Blankenbecler, R., Scalapino, D. & Sugar, R. Monte Carlo calculations of coupled boson-fermion systems. I. Phys. Rev. D 24, 2278–2286 (1981).
Hirsch, J. E. Discrete Hubbard-Stratonovich transformation for fermion lattice models. Phys. Rev. B 28, 4059–4061 (1983).
He, Y.-Y., Qin, M., Shi, H., Lu, Z.-Y. & Zhang, S. Finite-temperature auxiliary-field quantum Monte Carlo: Self-consistent constraint and systematic approach to low temperatures. Phys. Rev. B 99, 045108 (2019).
McDaniel, T., D’Azevedo, E. F., Li, Y. W., Wong, K. & Kent, P. R. C. Delayed Slater determinant update algorithms for high efficiency quantum Monte Carlo. J. Chem. Phys. 147, 174107 (2017).
Scalettar, R. T., Noack, R. M. & Singh, R. R. P. Ergodicity at large couplings with the determinant Monte Carlo algorithm. Phys. Rev. B 44, 10502 (1991).
Khatami, E. Three-dimensional Hubbard model in the thermodynamic limit. Phys. Rev. B 94, 125114 (2016).
Yao, X.-C. Data for “Antiferromagnetic phase transition in a 3D fermionic Hubbard model” (v.1.0). Zenodo https://doi.org/10.5281/zenodo.11195759 (2024).
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