Many-Body Topological and Skin States without Open Boundaries

Understand

Robust boundary states have been the focus of much recent research, both as topologically protected states and as non-Hermitian skin states.

• In this work, we show that many-body effects can also induce analogs of these robust states in place of actual physical boundaries.
• Particle statistics or suitably engineered interactions i.e.
• in ultracold atomic lattices can restrict the accessible many-body Hilbert space, and introduce effective boundaries in a spatially periodic higher-dimensional configuration space.