The non-Hermitian skin effect with quantum jumps and interactions · revision history
Revision 1
Accepted · first revision · record
- Title
- The non-Hermitian skin effect with quantum jumps and interactions
- Plain
- With one-way loss built into a lattice, all waves pile up at one edge, an effect called the skin effect. Whether this survives when real quantum jumps and atom-atom interactions are included is open.
- Precise
- Atoms in a $1\mathrm{D}$ or $2\mathrm{D}$ lattice with engineered nonreciprocal dissipative hopping, evolving under a Lindblad master equation. The effective non-Hermitian Hamiltonian $H_{\mathrm{eff}}$ predicts boundary localization of all modes. Determine whether the full Lindblad dynamics of interacting bosons or fermions shows boundary accumulation with the $H_{\mathrm{eff}}$ length scale, and how quantum jumps and Pauli blocking modify it. Answer: mechanism and measured localization length.
- Settled by
- An experiment with interacting atoms resolving density profiles under nonreciprocal dissipation, compared with full Lindblad simulation.
- Kind
- well-posed
- Answer type
- mechanism
- References
- (empty)
- Literature status
- partially-resolved
- Status note
- A single-particle skin effect was observed in an atomic momentum-space lattice in 2022 (Liang et al., PRL), and a 2D skin effect in a weakly interacting ultracold Fermi gas was reported in 2025 (Zhao et al., Nature, doi:10.1038/s41586-024-08347-3); interaction and quantum-jump effects remain unmeasured.
- Posed since
- (empty)