Dynamical formation of two-fold fragmented many-body state induced by an impurity in a double-well

• URL: http://arxiv.org/abs/2211.05848v1
• Date: Thu, 10 Nov 2022 20:02:54 GMT
• Title: Dynamical formation of two-fold fragmented many-body state induced by an impurity in a double-well
• Authors: Jie Chen, Simeon I. Mistakidis, Peter Schmelcher
• Abstract summary: We unravel the correlated quantum quench dynamics of a single impurity immersed in a bosonic environment. For a non-interacting bosonic bath and weak postquench impurity-bath interactions, we observe the formation of a two-fold fragmented many-body state.
• Score: 4.2575268077562685
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We unravel the correlated quantum quench dynamics of a single impurity immersed in a bosonic environment confined in an one-dimensional double-well potential. A particular emphasis is placed on the structure of the time-evolved many-body wave function by relying on a Schmidt decomposition whose coefficients directly quantify the number of configurations that are macroscopically populated. For a non-interacting bosonic bath and weak postquench impurity-bath interactions, we observe the dynamical formation of a two-fold fragmented many-body state which is related to intra-band excitation processes of the impurity and manifests as a two-body phase separation (clustering) between the two species for repulsive (attractive) interactions. Increasing the postquench impurity-bath coupling strength leads to the destruction of the two-fold fragmentation since the impurity undergoes additional inter-band excitation dynamics. By contrast, a weakly interacting bath suppresses excitations of the bath particles and consequently the system attains a weakly fragmented many-body state. Our results explicate the interplay of intra- and inter-band impurity excitations for the dynamical generation of fragmented many-body states in multi-well traps and for designing specific entangled impurity states.

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