Journal
PHYSICAL REVIEW A
Volume 100, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.100.013619
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Funding
- Deutsche Forschungsgemeinschaft (DFG) [SFB 925]
- Humboldt Foundation
- DFG [413495248]
- Ingenium organization of Technische Universitat Darmstadt
- Danish Council for Independent Research (DFF)
- DFF Sapere Aude program
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We investigate a temporal evolution of an impurity atom in a one-dimensional trapped Bose gas following a sudden change of the boson-impurity interaction strength. Our focus is on the effects of inhomogeneity due to the harmonic confinement. These effects can be described by an effective one-body model where both the mass and the spring constant are renormalized. This is in contrast to the classic renormalization, which addresses only the mass. We propose an effective single-particle Hamiltonian and apply the multilayer multiconfiguration time-dependent Hartree method for bosons to explore its validity. Numerical results suggest that the effective mass is smaller than the impurity mass, which means that it cannot straightforwardly be extracted from translationally invariant models.
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