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Condensed Matter > Quantum Gases
Title: Few particles with an impurity in a one-dimensional harmonic trap
(Submitted on 31 Mar 2023 (v1), last revised 2 Apr 2024 (this version, v2))
Abstract: We present a comprehensive study of the static properties of a mobile impurity interacting with a bath with a few particles trapped in a one-dimensional harmonic trap. We consider baths with either identical bosons or distinguishable particles and we focus on the limiting case where the bath is non-interacting. We provide numerical results for the energy spectra and density profiles by means of the exact diagonalization of the Hamiltonian, and find that these systems show non-trivial solutions, even in the limit of infinite repulsion. A detailed physical interpretation is provided for the lowest energy states. In particular, we find a seemingly universal transition from the impurity being localized in the center of the trap to being expelled outside the majority cloud. We also develop an analytical ansatz and a mean-field solution to compare them with our numerical results in limiting configurations.
Submission history
From: Abel Rojo-Francàs [view email][v1] Fri, 31 Mar 2023 10:14:51 GMT (223kb,D)
[v2] Tue, 2 Apr 2024 09:51:02 GMT (377kb,D)
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