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- W4384264695 abstract "Using the Bethe ansatz (BA) solution, we rigorously determine non-equilibrium dynamics of quantum flutter and revival of an injected impurity with a large initial momentum $Q$ into the one-dimensional (1D) interacting bosonic medium. We show that two types of BA excited eigenstates drastically dominate the oscillation nature of the quantum flutter with a periodicity which is simply given by the charge and spin dressed energies $varepsilon_{rm c,s}(0)$ at zero quasi-momentum $tau_{rm QF} = 2pi/(|varepsilon_{rm c}(0)|- |varepsilon_{rm s}(0)|)$. While we also determine quantum revival dynamics with a larger periodicity $tau_{L} = L/left(v_{rm c}(Q-k^*)-v_{rm s}(k^*)right)$ than $tau_{rm QF}$, revealing the quantum reflection of excitations induced by the periodic boundary conditions of a finite length $L$. Here $v_{rm c,s}$ are the sound velocities of charge and spin excitations, respectively, and $k^*$ is determined by the rapidity of the impurity. Our results reveals a microscopic origin of quantum supersonic phenomenon and shed light on quantum magnon metrology for a measure of the gravitational force." @default.
- W4384264695 created "2023-07-14" @default.
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- W4384264695 date "2023-07-12" @default.
- W4384264695 modified "2023-10-17" @default.
- W4384264695 title "Microscopic origin of quantum supersonic phenomenon in one dimension" @default.
- W4384264695 doi "https://doi.org/10.48550/arxiv.2307.05955" @default.
- W4384264695 hasPublicationYear "2023" @default.
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