Synthetic dimension-induced pseudo Jahn-Teller effect in one-dimensional confined fermions

• URL: http://arxiv.org/abs/2310.17995v3
• Date: Tue, 16 Jan 2024 15:17:27 GMT
• Title: Synthetic dimension-induced pseudo Jahn-Teller effect in one-dimensional confined fermions
• Authors: Andr\'e Becker, Georgios M. Koutentakis, Peter Schmelcher
• Abstract summary: We show the failure of the adiabatic Born-Oppenheimer approximation to describe the ground state of a quantum impurity within an ultracold Fermi gas. Increasing repulsion leads to the appearance of non-adiabatic couplings between the fast bath and slow impurity degrees of freedom.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We demonstrate the failure of the adiabatic Born-Oppenheimer approximation to describe the ground state of a quantum impurity within an ultracold Fermi gas despite substantial mass differences between the bath and impurity species. Increasing repulsion leads to the appearance of non-adiabatic couplings between the fast bath and slow impurity degrees of freedom which reduce the parity symmetry of the latter according to the pseudo Jahn-Teller effect. The presence of this mechanism is associated to a conical intersection involving the impurity position and the inverse of the interaction strength which acts as a synthetic dimension. We elucidate the presence of these effects via a detailed ground state analysis involving the comparison of ab initio fully-correlated simulations with effective models. Our study suggests ultracold atomic ensembles as potent emulators of complex molecular phenomena.

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