Self acceleration from spectral geometry in dissipative quantum-walk dynamics
arXiv:2310.08076 · doi:10.1038/s41467-024-48815-y
Abstract
Dynamic behaviors of a physical system often originate from its spectral properties. In open systems, where the effective non-Hermitian description enables a wealth of spectral structures on the complex plane, the concomitant dynamics is significantly enriched, whereas the identification and comprehension of the underlying connections are challenging. Here we experimentally demonstrate the correspondence between the transient self acceleration of local excitations and the non-Hermitian spectral topology using lossy photonic quantum walks. Focusing first on one-dimensional quantum walks, we show that the measured short-time acceleration of the wave function is proportional to the area enclosed by the eigenspectrum. We then reveal similar correspondence in two-dimension quantum walks, where the self acceleration is proportional to the volume enclosed by the eigenspectrum in the complex parameter space. In both dimensions, the transient self acceleration crosses over to a long-time behavior dominated by a constant flow at the drift velocity. Our results unveil the universal correspondence between spectral topology and transient dynamics, and offer a sensitive probe for phenomena in non-Hermitian systems that originate from spectral geometry.
arXiv comment12 pages, 6 figures
References in corpus (49)
- The electronic properties of graphene
- Making Sense of Non-Hermitian Hamiltonians
- Edge states and topological invariants of non-Hermitian systems
- Exceptional Topology of Non-Hermitian Systems
- Non-Hermitian Physics
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Topological Origin of Non-Hermitian Skin Effects
- Non-Bloch Band Theory of Non-Hermitian Systems
- Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
- Correspondence between winding numbers and skin modes in non-hermitian systems
- Observation of bulk boundary correspondence breakdown in topolectrical circuits
- Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
- Efficient Light Funneling based on the non-Hermitian Skin Effect
- Berry phase, hyperorbits, and the Hofstadter spectrum: semiclassical dynamics in magnetic Bloch bands
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
- Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
- Direct observation of Dirac cones and a flatband in a honeycomb lattice for polaritons
- Critical non-Hermitian Skin Effect
- A 2D Quantum Walk Simulation of Two-Particle Dynamics
- Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
- Universal non-Hermitian skin effect in two and higher dimensions
- Reciprocal skin effect and its realization in a topolectrical circuit
- Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
- Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits
- Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
- Observation of higher-order non-Hermitian skin effect
- Observation of arbitrary topological windings of a non-Hermitian band
- Topological Non-Hermitian skin effect
- Non-Hermitian Morphing of Topological Modes
- Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect
- Observation of non-Bloch parity-time symmetry and exceptional points
- Liouvillian Skin Effect: Slowing Down of Relaxation Processes without Gap Closing
- Topological framework for directional amplification in driven-dissipative cavity arrays
- Observation of non-Hermitian topological Anderson insulator in quantum dynamics
- Non-Hermitian Edge Burst
- Simulating non-Hermitian quasicrystals with single-photon quantum walks
- Non-Hermitian skin effect and self-acceleration
- Classical limit of non-Hermitian quantum dynamics - a generalised canonical structure
- Wave packet evolution in non-Hermitian quantum systems
- Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
- Symmetrized Liouvillian Gap in Markovian Open Quantum Systems
- Topological swing in Bloch oscillations
- Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
- Manipulating non-reciprocity in a two-dimensional magnetic quantum walk
- Non-Hermitian spectral flows and Berry-Chern monopoles
- Topological spin texture of chiral edge states in photonic two-dimensional quantum walks
- Non-Hermitian edge burst without skin localizations
- Husimi dynamics generated by non-Hermitian Hamiltonians
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- A comprehensive review on developments of synthetic dimensions
- The non-Hermitian skin effect: A perspective
- Manipulating the Relaxation Time of Boundary-Dissipative Systems through Bond Dissipation
- Liouvillian skin effect in quantum neural networks
- Dynamical Phase Transitions in Open Quantum Walks
- Programmable non-Hermitian photonic quantum walks via dichroic metasurfaces
- Optimal spectral transport of non-Hermitian systems
- Solution of Wave Acceleration and Non-Hermitian Jump in Nonreciprocal Lattices
- Implementation of multiparticle quantum speed limits on observables