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.
Recommended Citation
J. Chen et al., "Intra- And Interband Excitations Induced Residue Decay Of The Bose Polaron In A One-Dimensional Double-Well," New Journal of Physics, vol. 24, no. 3, article no. 033004, IOP Publishing, Mar 2022.
The definitive version is available at https://doi.org/10.1088/1367-2630/ac51ed
Department(s)
Physics
Publication Status
Open Access
Keywords and Phrases
Bose polaron; one-dimensional physics; ultracold atomic mixture
International Standard Serial Number (ISSN)
1367-2630
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2024 The Authors, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution 4.0 License.
Publication Date
01 Mar 2022
Comments
National Science Foundation, Grant 170620586