Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices
arXiv:2411.03649 · doi:10.1088/0256-307X/42/3/037301
Abstract
We discover that the interplay between Hilbert space fragmentation and multiple non-Hermitian pumping channels leads to distinct non-Hermitian skin effect (NHSE) in real and Fock spaces. Using an extended Hatano-Nelson model with next-nearest neighbor hopping and a strong interaction as an example, we find that two fermions loaded in the lattice exhibit different real-space NHSE depending on the Hilbert space fragments they belong to. Moreover, in the high-energy sector resulting from the fragmentation, the two-particle bound states form a one-dimensional lattice in Fock space, resulting in the Fock-space NHSE. At half-filling, while real-space NHSE is suppressed by many-body effects, richer patterns of Fock-space skin-like localization are found to emerge for different fragmented energy sectors and subsectors. This work extends our understanding of the interplay between NHSE and Hilbert space fragmentation and provides detailed insights into their manifestation in interacting non-Hermitian systems.
11 pages, 8 figures; v2: a typo is corrrected in the title. Comments are welcome
References in corpus (33)
- Topological Origin of Non-Hermitian Skin Effects
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Universal non-Hermitian skin effect in two and higher dimensions
- Non-Hermitian topological phenomena: A review
- Acoustic non-Hermitian skin effect from twisted winding topology
- Topological Non-Hermitian skin effect
- Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
- Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
- Non-Hermitian skin clusters from strong interactions
- Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
- Many-body localization in a fragmented Hilbert space
- Non-Hermitian Mott Skin Effect
- Interaction-induced non-Hermitian topological phases from a dynamical gauge field
- Dynamical Degeneracy Splitting and Directional Invisibility in Non-Hermitian Systems
- Non-Abelian effects in dissipative photonic topological lattices
- Zoology of non-Hermitian spectra and their graph topology
- Non-Hermitian skin effect in one-dimensional interacting Bose gas
- Exact solution of the Bose Hubbard model with unidirectional hopping
- Many-Body Non-Hermitian Skin Effect for Multipoles
- Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
- Many-body non-Hermitian skin effect under dynamic gauge coupling
- Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs
- General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
- Hilbert space fragmentation and interaction-induced localization in the extended Fermi-Hubbard model
- Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
- Hilbert space fragmentation in a long-range system
- Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
- Spectral structure and doublon dissociation in the two-particle non-Hermitian Hubbard model
- Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
- Multifractality of many-body non-Hermitian skin effect
- Hilbert space fragmentation imposed real spectrum of non-Hermitian systems
- Topologically compatible non-Hermitian skin effect
- Hilbert Space Fragmentation and Subspace Scar Time-Crystallinity in Driven Homogeneous Central-Spin Models