Piotr
Kulik
University of Warsaw
Zoom link: https://us06web.zoom.us/j/87057373249?pwd=MNnyk4rUf9cOVZoxeqIaKkhwYk5STm.1
The Hubbard model, fundamental for understanding strongly correlated electrons, remains not fully understood due to its exponential complexity. Quantum simulators, as proposed by Richard Feynman in 1981, offer a potential solution through the use of controllable artificial systems. Significant experimental advancements in Atomic, Molecular, and Optical (AMO) physics, such as laser cooling and optical lattices, have made these simulators feasible. Specifically, the Hubbard model can be realized in optical lattices, where ultracold atoms are trapped in a periodic potential created by intersecting laser beams. This setup allows precise control over the system's parameters and facilitates the study of strongly correlated electron systems.
More elaborate experimental tools allow for the realization of lattice systems composed of bosonic dipoles, corresponding to Extended Bose-Hubbard models, thus enabling the exploration of long-range interactions and exotic quantum phases. However, achieving precise control of the system is only half the challenge in quantum simulator realization; determining the corresponding microscopic parameters of the realized model is not straightforward.
This study explores dipolar systems, crucial for understanding quantum simulations. By focusing on a two-body dipolar system confined in a harmonic trap, it provides a detailed framework for mapping interactions and energy levels to the Extended Bose-Hubbard model parameters. This precise mapping aids in designing and calibrating experimental setups for studying long-range interactions and complex quantum phases. Beyond condensed matter physics, these insights extend to quantum information science, allowing for the realization of quantum logic operations and the generation of robust entanglement. The study contributes to the development of scalable quantum computing architectures by demonstrating dipolar systems as building blocks for qubits or quantum gates, paving the way for highly controllable and fault-tolerant quantum devices.
