Non-Hermitian glide-time symmetry
- URL: http://arxiv.org/abs/2409.13372v1
- Date: Fri, 20 Sep 2024 10:16:42 GMT
- Title: Non-Hermitian glide-time symmetry
- Authors: Li-Wei Wang, Jian-Hua Jiang,
- Abstract summary: We study a one-dimensional non-Hermitian system with glide-time reversal (GT) symmetry.
We discover that the GT symmetry leads to unique physical properties and enables rich dynamic phenomena in non-Hermitian systems.
Remarkably, we reveal the dynamic NHSEs that exhibit diverse behaviors across distinct dynamic phases.
- Score: 17.423012765773063
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: Non-Hermitian systems, going beyond conventional Hermitian systems, have brought in intriguing concepts such as exceptional points and complex spectral topology as well as exotic phenomena such as non-Hermitian skin effects (NHSEs). However, previous studies on non-Hermitian systems predominantly focus on the properties of eigenstates, with rather limited discussions on non-Hermitian dynamic phenomena. Here, inspired by the celebrated success of the parity-time symmetry in non-Hermitian physics, we theoretically study a one-dimensional non-Hermitian system with glide-time reversal (GT) symmetry. We discover that the GT symmetry leads to unique physical properties and enables rich dynamic phenomena in non-Hermitian systems. Remarkably, we reveal the dynamic NHSEs that exhibit diverse behaviors across distinct dynamic phases, elucidating the richness of non-Hermitian dynamics. We establish the theoretical frameworks for understanding the rich non-Hermitian dynamic phenomena. We further show that the rich dynamic phases in the GT-symmetric systems enable the remarkable tuning of the dynamics in the bulk as well as at the edge boundaries. These include the directional wave propagation and amplification in the bulk, as well as the wave trapping and the dynamic patterns at the edge boundaries. With both the development in the theoretical framework and the study of the rich non-Hermitian dynamic phases, this work serves as a stepstone for future studies on non-Hermitian dynamics with a special emphasize on the pivotal role of the lattice symmetry.
Related papers
- Dynamical topological phase transition in cold Rydberg quantum gases [23.439762818503013]
We report the experimental observation of dynamical topological phase transitions in cold Rydberg atomic gases under a microwave field driving.
At the transition state, where the winding number flips, the topology of these trajectories evolves into more non-trivial structures.
arXiv Detail & Related papers (2024-09-17T09:59:36Z) - Emergent non-Hermitian conservation laws at exceptional points [9.397121474087331]
Non-Hermitian systems can manifest rich static and dynamical properties at their exceptional points (EPs)
We identify yet another class of distinct phenomena that is hinged on EPs, namely, the emergence of a series of non-Hermitian conservation laws.
arXiv Detail & Related papers (2024-08-02T08:11:41Z) - Dynamical topology of chiral and nonreciprocal state transfers in a non-Hermitian quantum system [11.467872077398688]
We study topological chiral and nonreciprocal dynamics by encircling the exceptional points (EPs) of non-Hermitian Hamiltonians in a trapped ion system.
These dynamics are topologically robust against external perturbations even in the presence dissipation-induced nonadiabatic processes.
Our results mark a significant step towards exploring topological properties of open quantum systems.
arXiv Detail & Related papers (2024-06-05T07:51:58Z) - Wave-packet dynamics in non-Hermitian systems subject to complex
electric fields [0.0]
Berry phases have long been known to significantly alter the properties of periodic systems.
In non-Hermitian systems, generalizations of the Berry connection have been proposed and shown to have novel effects on dynamics and transport.
We show that the non-Hermiticities of both the band Hamiltonian and the external potential give rise to anomalous weight rate and velocity terms.
arXiv Detail & Related papers (2024-02-02T11:06:46Z) - Observation of dynamic non-Hermitian skin effects [14.653357833352828]
We report the first experimental observation of rich non-Hermitian skin dynamics using tunable one-dimensional nonreciprocal double-chain mechanical systems.
Remarkably, dynamic NHSEs are observed with various dynamic behaviors in different dynamic phases.
Our findings unveil the fundamental aspects and open a new pathway toward non-Hermitian dynamics.
arXiv Detail & Related papers (2023-12-10T01:44:59Z) - TANGO: Time-Reversal Latent GraphODE for Multi-Agent Dynamical Systems [43.39754726042369]
We propose a simple-yet-effective self-supervised regularization term as a soft constraint that aligns the forward and backward trajectories predicted by a continuous graph neural network-based ordinary differential equation (GraphODE)
It effectively imposes time-reversal symmetry to enable more accurate model predictions across a wider range of dynamical systems under classical mechanics.
Experimental results on a variety of physical systems demonstrate the effectiveness of our proposed method.
arXiv Detail & Related papers (2023-10-10T08:52:16Z) - Dynamics of inhomogeneous spin ensembles with all-to-all interactions:
breaking permutational invariance [49.1574468325115]
We investigate the consequences of introducing non-uniform initial conditions in the dynamics of spin ensembles characterized by all-to-all interactions.
We find that the dynamics of the spin ensemble now spans a more expansive effective Hilbert space.
arXiv Detail & Related papers (2023-09-19T16:44:14Z) - Emergence of fluctuating hydrodynamics in chaotic quantum systems [47.187609203210705]
macroscopic fluctuation theory (MFT) was recently developed to model the hydrodynamics of fluctuations.
We perform large-scale quantum simulations that monitor the full counting statistics of particle-number fluctuations in boson ladders.
Our results suggest that large-scale fluctuations of isolated quantum systems display emergent hydrodynamic behavior.
arXiv Detail & Related papers (2023-06-20T11:26:30Z) - Probing non-Hermitian phase transitions in curved space via quench
dynamics [0.0]
Non-Hermitian Hamiltonians are relevant to describe the features of a broad class of physical phenomena.
We study the interplay of geometry and non-Hermitian dynamics by unveiling the existence of curvature-dependent non-Hermitian phase transitions.
arXiv Detail & Related papers (2020-12-14T19:47:59Z) - Nonseparable Symplectic Neural Networks [23.77058934710737]
We propose a novel neural network architecture, Nonseparable Symplectic Neural Networks (NSSNNs)
NSSNNs uncover and embed the symplectic structure of a nonseparable Hamiltonian system from limited observation data.
We show the unique computational merits of our approach to yield long-term, accurate, and robust predictions for large-scale Hamiltonian systems.
arXiv Detail & Related papers (2020-10-23T19:50:13Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.