Quench Dynamics Of Two One-Dimensional Harmonically Trapped Bosons Bridging Attraction And Repulsion

Author

L. Budewig
Simeon I. Mistakidis, Missouri University of Science and TechnologyFollow
P. Schmelcher

Abstract

We Unravel The Nonequilibrium Quantum Dynamics Of Two Harmonically Confined Bosons In One Spatial Dimension When Performing An Interaction Quench From Finite Repulsive To Attractive Interaction Strengths And Vice Versa. A Closed Analytical Form Of The Expansion Coefficients Of The Time-Evolved Two-Body Wavefunction Is Derived, While Its Dynamics Is Determined In Terms Of An Expansion Over The Postquench Eigenstates. For Both Quench Scenarios The Temporal Evolution Is Analysed By Inspecting The One- And Two-Body Reduced Density Matrices And Densities, The Momentum Distribution And The Fidelity. Resorting To The Fidelity Spectrum And The Eigenspectrum We Identify The Dominant Eigenstates Of The System That Govern The Dynamics. Monitoring The Dynamics Of The Above-Mentioned Observables We Provide Signatures Of The Energetically Higher-Lying States Triggered By The Quench.

Recommended Citation

L. Budewig et al., "Quench Dynamics Of Two One-Dimensional Harmonically Trapped Bosons Bridging Attraction And Repulsion," Molecular Physics, vol. 117, no. 15 thru 16, pp. 2043 - 2057, Taylor and Francis Group; Taylor and Francis, Aug 2019.

The definitive version is available at https://doi.org/10.1080/00268976.2019.1575995

Department(s)

Physics

Comments

Deutsche Forschungsgemeinschaft, Grant SFB

Keywords and Phrases

breathing mode; correlation processes; fidelity spectrum; interaction quench; quantum dynamics; Two bosons

International Standard Serial Number (ISSN)

1362-3028; 0026-8976

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Taylor and Francis Group; Taylor and Francis, All rights reserved.

Publication Date

18 Aug 2019