摘要
Quantum flutter is a ubiquitous phenomenon which can be observed from the fast moving impurity injected into a fermionic or bosonic medium of quantum liquid.In this scenario,one usually considers a medium of a fully polarized state and injects a spin-flipped impurity as the initial state.When the initial velocity of the impurity is beyond the intrinsic sound velocity of the medium,the impurity momentum dramatically exhibits a long-lived periodic oscillation with the periodicity remaining invariant with respect to the initial velocity.In this paper,we show that such a novel phenomenon can be explained by a linear Luttinger liquid coupled to a deep hole in the Fermi sea.Once the deep hole excitations are involved and the impurity momentum surpasses the Fermi momentum,the propagator thus displays a periodic oscillation after a quick relaxation decay.The oscillation periodicity is solely determined by the energy of the deepest hole excitation.Our result provides deep insights into the dynamical behavior of quantum impurities immersed into one-dimensional quantum liquids.
基金
SW is supported by the HK GRF under Grant Nos.17306024 and 17313122
the CRF under Grant No.C7012-21G
a RGC Fellowship Award under No.HKU RFS2223-7S03
XWG and ZHZ are supported by the NSFC key under Grant Nos.12134015,92365202,12121004,12175290
the National Key R&D Program of China under Grant No.2022YFA1404102.
