By using the exact Bethe wavefunctions of the one-dimensional Hubbard model with N spin-up fermions and one spin-down impurity, we derive an analytic expression of the impurity form factor, in the form of a determinant of a \((N+1)\) by \((N+1)\) matrix. This analytic expression enables us to exactly calculate spectral properties of one-dimensional Fermi polarons in lattices, when the masses of the impurity particle and the Fermi bath are equal. We present the impurity spectral functio
Xia-Ji Liu & Hui Hu
Dark states, which are incapable of absorbing and emitting light, have been widely applied in multiple disciplines of physics. However, the existence of dark states relies on certain strict constraints on the system. For instance, in the fundamental \(\Lambda\) system, a perturbation breaking the degeneracy between two energy levels may destroy the destructive interference and demolish the dark state. Here, we show that non-Hermiticity can be exploited as a constructive means to restor
Qi Zhou
Particle accelerators, originally developed to address fundamental questions about the universe, have become essential to various scientific disciplines. The broad adoption of accelerators was enabled by substantial advancements in beam manipulation techniques, which encompass methods for generating and controlling particle beams to optimize them for specific applications. Most of these manipulations rely on controlling the beam’s correlation in its phase space. While linear control an
Gwanghui Ha
I briefly review the canonical vorticity theoretical framework and its applications in collisionless, magnetized plasma physics. The canonical vorticity is a weighted sum of the fluid vorticity and the magnetic field and is equal to the curl of the canonical momentum. By taking this variable as the primary variable instead of the magnetic field, various phenomena that require non-MHD effect in their scrutiny can be simplified. Two examples are given, namely magnetic reconnection and ma
Young Dae Yoon
We study the macroscopic quantum tunnelling of an interacting Bose-Einstein condensate in a cubic-plus-quadratic well that was approximately realized in recent experiment. We utilise the Gross-Pitaevskii equation and Wentzel-Kramers-Brillouin (WKB) method to investigate the effect of the inter-atomic interactions on the tunnelling rate of a quasi-bound condensate. We find that the existence of repulsive interaction enhances the quantum tunnelling of a trapped Bose-Einstein condensate.
Rui-Bin Liu, Mingyang Liu & Shizhong Zhang
In this work, we propose a geometric non-linear current response induced by magnetic resonance in magnetic Weyl semimetals. This phenomenon is in analog to the quantized circular photogalvanic effect (de Juan et al., Nat. Commun. 8:15995, 2017) previously proposed for Weyl semimetal phases of chiral crystals. However, the non-linear current response in our case can occur in magnetic Weyl semimetals where time-reversal symmetry, instead of inversion symmetry, is broken. The occurrence o
Ruobing Mei & Chao-Xing Liu
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