NEW QUANTUM STATES IN SYNTHETIC CURVED SPACE AND NON-ORIENTABLE MANIFOLDS
Abstract
Here, we propose to study synthetic curved spaces and non-orientable manifolds in ultracold atoms and quantum photonics. Boundary conditions of these systems are highly controllable for bypassing standard constraints in laboratories, and provide us with a unique playground to create genus-n surfaces and non-orientable manifolds. This project will deliver recipes to realize a variety of synthetic spaces, ranging from the double and triple tori to the Klein bottle and the cross-cap. Moreover, we will search for novel few- and many states brought by the interplay of topology, interactions, gauge fields, and dissipations in such spaces. This project will prompt an emerging domain of studying quantum physics in spaces with nontrivial topologies in ultracold atom physics and quantum photonics. Our results will not only turn long-standing theoretical ideas into physical realities but also produce new few- and many quantum states not explored before. The highly interdisciplinary nature of this project will strengthen connections between ultracold atom physics and quantum photonics by applying related theoretical ideas to different setups.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Aug 12, 2021
- Source ID
- FA95502010221
Entities
People
- Qi Zhou
Organizations
- Air Force Office of Scientific Research
- Purdue University
- United States Air Force