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Long-range interactions keep attracting a lot of attention in the cold-atoms community as they have been theoretically shown to stabilize a plethora of exotic quantum phases such as p-wave superfluidity, superfluid of multimers, charge density waves, stripe solids, and supersolids. At the same time, rapid experimental developments in ultracold atoms and molecules have paved the way to experimentally explore these exotic phases. Long-range interactions have been realized with ultracold gases of particles with large magnetic or electronic dipole moments, atoms in Rydberg states, polar molecules, or cavity-mediated interactions. In cold atom experiments, two types of long-range interactions can be achieved: cavity-mediated long-range interactions and dipolar interactions. Cavity-mediated long-range interactions are isotropic and infinite-ranged while dipolar interactions are long-ranged (decaying as 1/r^3) and anisotropic. In this talk, I will present phase diagrams of bosonic particles trapped in optical lattices with long-range interactions and study the nature of the quantum phase transition in the above system. The method we used is quantum Monte Carlo method with the worm algorithm.
Dr. Chao Zhang obtained her Ph.D. degree at the University of Oklahoma in 2018, where she worked under the supervision of Professor Barbara Capogrosso-Sansone. During her graduate study, she used quantum Monte Carlo method with the worm algorithm and studied the properties of strongly correlated many-body bosonic systems. She studied the effect of long-range interactions on quantum phases of bosons in optical lattices. After graduation, she joined Professor Heiko Rieger’s group at Saarland University, Germany, where she extended her study to the bosonic particles in optical lattices with cavity-mediated long-range interactions. Now, Dr. Zhang is a research associate in Professor Nikolay Prokof'ev and Professor Boris Svistunov's group at the University of Massachusetts, Amherst. There, she expands her study to the strongly correlated fermionic system. She learned the Diagrammatic Monte Carlo method and studies the properties of single polarons.