Intra- and interband excitations induced residue decay of the Bose polaron in a one-dimensional double-well

Abstract

We investigate the polaronic properties of a single impurity immersed in a weakly interacting bosonic environment confined within a one-dimensional double-well potential using an exact diagonalization approach. We find that an increase of the impurity-bath coupling results in a vanishing residue, signifying the occurrence of the polaron orthogonality catastrophe. Asymptotic configurations of the systems' ground state wave function in the strongly interacting regime are obtained by means of a Schmidt decomposition, which in turn accounts for the observed orthogonality catastrophe of the polaron. We exemplify that depending on the repulsion of the Bose gas, three distinct residue behaviors appear with respect to the impurity-bath coupling. These residue regimes are characterized by two critical values of the bosonic repulsion and originate from the interplay between the intra- and the interband excitations of the impurity. Moreover, they can be clearly distinguished in the corresponding species reduced density matrices with the latter revealing a phase separation on either the one- or the two-body level. The impact of the interspecies mass-imbalance on the impurity's excitation processes is appreciated yielding an interaction shift of the residue regions. Our results explicate the interplay of intra- and interband excitation processes for the polaron generation in multiwell traps and for designing specific polaron entangled states motivating their exposure in current experiments.

15 pages, 9 figures

References in corpus (21)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Squeezing and entanglement in a Bose-Einstein condensate
• Attractive and repulsive Fermi polarons in two dimensions
• Repulsive Fermi polarons in a resonant mixture of ultracold ${}^6$Li atoms
• Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
• Reduced density matrices and coherence of trapped interacting bosons
• Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
• Dynamic generation of spin-squeezed states in bosonic Josephson junctions
• Ultracold Few-Boson Systems in a Double-Well Trap
• Composite fermionization of 1-D Bose-Bose mixtures
• Mobile impurity in a Bose-Einstein condensate and the orthogonality catastrophe
• Polaron Interactions and Bipolarons in One-Dimensional Bose Gases in the Strong Coupling Regime
• The two-site Bose--Hubbard model
• Coherent Oscillations in Small Fermi Polaron Systems
• Polarons and their induced interactions in highly imbalanced triple mixtures
• Few-boson tunneling in a double well with spatially modulated interaction
• Induced interactions and quench dynamics of bosonic impurities immersed in a Fermi sea
• Impurity induced quantum chaos for an ultracold bosonic ensemble in a double-well
• Radiofrequency spectroscopy of one-dimensional trapped Bose polarons: crossover from the adiabatic to the diabatic regime
• Critical exponents for an impurity in a bosonic Josephson junction: Position measurement as a phase transition

Cited by in corpus (2)

• Few particles with an impurity in a one-dimensional harmonic trap
• Dynamical formation of two-fold fragmented many-body state induced by an impurity in a double-well