Sudden quench of harmonically trapped mass-imbalanced fermions

Abstract Dynamical properties of two-component mass-imbalanced few-fermion systems confined in a one-dimensional harmonic trap following a sudden quench of interactions are studied. It is assumed that initially the system is prepared in the non-interacting ground state and then, after a sudden quenc...

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Main Authors: Dillip K. Nandy, Tomasz Sowiński
Format: Article
Language:English
Published: Nature Portfolio 2022-11-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-24228-z
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author Dillip K. Nandy
Tomasz Sowiński
author_facet Dillip K. Nandy
Tomasz Sowiński
author_sort Dillip K. Nandy
collection DOAJ
description Abstract Dynamical properties of two-component mass-imbalanced few-fermion systems confined in a one-dimensional harmonic trap following a sudden quench of interactions are studied. It is assumed that initially the system is prepared in the non-interacting ground state and then, after a sudden quench of interactions, the unitary evolution is governed by interacting many-body Hamiltonian. By careful analysis of the evolution of the Loschmidt echo, density distributions of the components, and entanglement entropy between them, the role of mass imbalance and particle number imbalance on the system’s evolution stability are investigated. All the quantities studied manifest a dramatic dependence on the number of heavy and lighter fermions in each component at a given quench strength. The results may have implications for upcoming experiments on fermionic mixtures with a well-defined and small number of particles.
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spelling doaj.art-d2887b7064dc4887acbbcb20013580502022-12-22T02:46:22ZengNature PortfolioScientific Reports2045-23222022-11-0112111210.1038/s41598-022-24228-zSudden quench of harmonically trapped mass-imbalanced fermionsDillip K. Nandy0Tomasz Sowiński1Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS)Institute of Physics, Polish Academy of SciencesAbstract Dynamical properties of two-component mass-imbalanced few-fermion systems confined in a one-dimensional harmonic trap following a sudden quench of interactions are studied. It is assumed that initially the system is prepared in the non-interacting ground state and then, after a sudden quench of interactions, the unitary evolution is governed by interacting many-body Hamiltonian. By careful analysis of the evolution of the Loschmidt echo, density distributions of the components, and entanglement entropy between them, the role of mass imbalance and particle number imbalance on the system’s evolution stability are investigated. All the quantities studied manifest a dramatic dependence on the number of heavy and lighter fermions in each component at a given quench strength. The results may have implications for upcoming experiments on fermionic mixtures with a well-defined and small number of particles.https://doi.org/10.1038/s41598-022-24228-z
spellingShingle Dillip K. Nandy
Tomasz Sowiński
Sudden quench of harmonically trapped mass-imbalanced fermions
Scientific Reports
title Sudden quench of harmonically trapped mass-imbalanced fermions
title_full Sudden quench of harmonically trapped mass-imbalanced fermions
title_fullStr Sudden quench of harmonically trapped mass-imbalanced fermions
title_full_unstemmed Sudden quench of harmonically trapped mass-imbalanced fermions
title_short Sudden quench of harmonically trapped mass-imbalanced fermions
title_sort sudden quench of harmonically trapped mass imbalanced fermions
url https://doi.org/10.1038/s41598-022-24228-z
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