Driven single-band tight-binding dynamics, mesoscopic quantum circuits and realization of generalized parafermionic polynomial algebrasDeformed parafermionic algebra from single-band tight-binding dynamics

Generalized Lieb's theorem for noninteracting non-Hermitian $n$-partite tight-binding lattices

Hermitian bipartite models are characterized by the presence of chiral symmetry and by Lieb's theorem, which derives the number of zero-energy flat bands of the model from the imbalance of sites between its two sublattices. Here, we introduce a class of non-Hermitian models with an arbitrary number of sublattices connected in a unidirectional and cyclical way and show that the number of zero-energy flat bands of these models can be found from a generalized version of Lieb's theorem, in what regards its application to noninteracting tight-binding models, involving the imbalance between each sub…

非相互作用的紧束缚模型用于Fock parafermions

Noninteracting tight-binding models for Fock parafermions

本文提出用费米子紧束缚模型构造非相互作用的parafermionic哈密顿量，通过映射实现$p=4$的Fock parafermions分解，并展示其与费米子统计的一致性。

Waiting time distributions of noninteracting fermions on a tight-binding chain

We consider the distribution of waiting times between non-interacting fermions on a tight-binding chain. We calculate the waiting time distribution for a quantum point contact and find a cross-over from Wigner-Dyson statistics at full transmission to Poisson statistics close to pinch-off as predicted by scattering theory. In addition, we consider several quantum dot structures for which we can associate oscillations in the waiting time distributions to internal energy scales of the scatterers. A detailed comparison with scattering theory and generalized master equations is provided. We focus o…

A mesoscopic Rydberg impurity in an atomic quantum gas

Giant impurity excitations with large binding energies are powerful probes for exploring new regimes of far out of equilibrium dynamics in few- and many-body quantum systems, as well as for in-situ observations of correlations. Motivated by recent experimental progress in spectroscopic studies of Rydberg excitations in ensembles of ultracold atoms, we develop a new theoretical approach for describing multiscale dynamics of Rydberg excitations in quantum Bose gases. We find that the crossover from few- to many-body dynamics manifests in a dramatic change in spectral profile from resolved molecu…

Simulation of many-body dynamics using Rydberg excitons

The recent observation of high-lying Rydberg states of excitons in semiconductors with relatively high binding energy motivates exploring their applications in quantum nonlinear optics and quantum information processing. Here, we study Rydberg excitation dynamics of a mesoscopic array of excitons to demonstrate its application in simulation of quantum many-body dynamics. We show that the $\mathbb{Z}_2$-ordered phase can be reached using physical parameters available for cuprous oxide (Cu$_2$O) by optimizing driving laser parameters such as duration, intensity, and frequency. In an example, we …

费米石墨烯-迪克相变在电路量子磁静态学中

Fermionic Stoner-Dicke phase transition in Circuit Quantum Magnetostatics

该研究提出一个费米子与量子磁通耦合的多体系统，展现石墨烯轨道不稳定性及迪克样量子相变，通过非线性磁-物质相和人工约瑟夫森结实现可调非线性。