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Researchers from Harvard and MIT used ultracold bosonic atoms in an optical lattice to realize a dipole-conserving Bose-Hubbard model, where pairs of atoms move cooperatively even when single atoms are immobilized. The work is a quantum simulation of constrained many-body dynamics and fractonic phases, not a demonstration of a computing application. For quantum readers, it is a useful example of how engineered kinetic constraints can change collective behavior in programmable quantum platforms.
Atoms’ dipole moment controls collective quantum motion

Constrained particle motion in optical lattices can still exhibit collective behavior, as shown by realizing a Bose-Hubbard model conserving the system’s center of mass, or overall dipole moment.
Researchers from Harvard University and the Massachusetts Institute of Technology have demonstrated a surprising form of collective motion where pairs of atoms can move even when individual atoms are held immobile. The team realized a dipole-conserving Bose-Hubbard model using ultracold bosonic atoms in an optical lattice, effectively constraining particle movement while allowing pairs to move cooperatively and preserve the system’s overall dipole moment. This work provides a bottom-up investigation of a Hamiltonian with kinetic constraints and allows for the exploration of low-energy phases of fractonic matter. In many-body systems, limiting the mobility of individual particles can fundamentally alter the nature of collective dynamics. Localized excitations consisting of a hole and a doublon were generated within a one-dimensional chain of ultracold bosonic atoms, enabling the observation of constrained quantum dynamics. The research team used site-resolved optical potentials to create these excitations and subsequently characterize their quantum walks and scattering dynamics, revealing strongly-correlated multi-particle behavior. A strong linear potential effectively suppresses single-particle motion, leading to the conservation of…
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