Pattern Formation In One-Dimensional Polaron Systems And Temporal Orthogonality Catastrophe

Author

Georgios M. Koutentakis
Simeon I. Mistakidis, Missouri University of Science and TechnologyFollow
Peter Schmelcher

Abstract

Recent Studies Have Demonstrated That Higher Than Two-Body Bath-Impurity Correlations Are Not Important For Quantitatively Describing The Ground State Of The Bose Polaron. Motivated By The Above, We Employ The So-Called Gross Ansatz (GA) Approach To Unravel The Stationary And Dynamical Properties Of The Homogeneous One-Dimensional Bose-Polaron For Different Impurity Momenta And Bath-Impurity Couplings. We Explicate That The Character Of The Equilibrium State Crossovers From The Quasi-Particle Bose Polaron Regime To The Collective-Excitation Stationary Dark-Bright Soliton For Varying Impurity Momentum And Interactions. Following An Interspecies Interaction Quench The Temporal Orthogonality Catastrophe Is Identified, Provided That Bath-Impurity Interactions Are Sufficiently Stronger Than The Intraspecies Bath Ones, Thus Generalizing The Results Of The Confined Case. This Catastrophe Originates From The Formation Of Dispersive Shock Wave Structures Associated With The Zero-Range Character Of The Bath-Impurity Potential. For Initially Moving Impurities, A Momentum Transfer Process From The Impurity To The Dispersive Shock Waves Via The Exerted Drag Force Is Demonstrated, Resulting In A Final Polaronic State With Reduced Velocity. Our Results Clearly Demonstrate The Crucial Role Of Non-Linear Excitations For Determining The Behavior Of The One-Dimensional Bose Polaron.

Recommended Citation

G. M. Koutentakis et al., "Pattern Formation In One-Dimensional Polaron Systems And Temporal Orthogonality Catastrophe," Atoms, vol. 10, no. 1, article no. 3, MDPI, Mar 2022.

The definitive version is available at https://doi.org/10.3390/atoms10010003

Department(s)

Physics

Publication Status

Open Access

Comments

National Science Foundation, Grant 390715994

Keywords and Phrases

Bose polaron; Lee-Low-Pines transformation; Mobile and immobile impurities; Pattern formation; Temporal orthogonality catastrophe

International Standard Serial Number (ISSN)

2218-2004

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