Dynamical resistivity of a few interacting fermions to the time-dependent potential barrier

We study the dynamical response of a harmonically trapped two-component few-fermion mixture to the external Gaussian potential barrier moving across the system. The simultaneous role played by inter-particle interactions, rapidity of the barrier, and the fermionic statistics is explored for systems...

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Main Authors: Dillip K Nandy, Tomasz Sowiński
Format: Article
Language:English
Published: IOP Publishing 2021-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/abee41
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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 We study the dynamical response of a harmonically trapped two-component few-fermion mixture to the external Gaussian potential barrier moving across the system. The simultaneous role played by inter-particle interactions, rapidity of the barrier, and the fermionic statistics is explored for systems containing up to four particles. The response is quantified in terms of the temporal fidelity of the time-evolved state and the amount of quantum correlations between components being dynamically generated. Results are also supported by analysis of the single-particle densities and temporal number of occupied many-body eigenstates. In this way, we show that the dynamical properties of the system crucially depend on non-trivial mutual relations between temporal many-body eigenstates, and in consequence, they lead to volatility of the dynamics. Counterintuitively, imbalanced systems manifest much higher resistivity and stability than their balanced counterparts.
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spelling doaj.art-297009227e9a4f10b9c3a353bf670f932023-08-08T15:32:41ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123404301910.1088/1367-2630/abee41Dynamical resistivity of a few interacting fermions to the time-dependent potential barrierDillip K Nandy0https://orcid.org/0000-0002-1667-4347Tomasz Sowiński1https://orcid.org/0000-0002-7970-4371Institute of Physics , Polish Academy of Sciences Aleja Lotników 32/46, PL-02668 Warsaw, PolandInstitute of Physics , Polish Academy of Sciences Aleja Lotników 32/46, PL-02668 Warsaw, PolandWe study the dynamical response of a harmonically trapped two-component few-fermion mixture to the external Gaussian potential barrier moving across the system. The simultaneous role played by inter-particle interactions, rapidity of the barrier, and the fermionic statistics is explored for systems containing up to four particles. The response is quantified in terms of the temporal fidelity of the time-evolved state and the amount of quantum correlations between components being dynamically generated. Results are also supported by analysis of the single-particle densities and temporal number of occupied many-body eigenstates. In this way, we show that the dynamical properties of the system crucially depend on non-trivial mutual relations between temporal many-body eigenstates, and in consequence, they lead to volatility of the dynamics. Counterintuitively, imbalanced systems manifest much higher resistivity and stability than their balanced counterparts.https://doi.org/10.1088/1367-2630/abee41few-body systemultra-cold fermionsexternal drivingdynamical properties
spellingShingle Dillip K Nandy
Tomasz Sowiński
Dynamical resistivity of a few interacting fermions to the time-dependent potential barrier
New Journal of Physics
few-body system
ultra-cold fermions
external driving
dynamical properties
title Dynamical resistivity of a few interacting fermions to the time-dependent potential barrier
title_full Dynamical resistivity of a few interacting fermions to the time-dependent potential barrier
title_fullStr Dynamical resistivity of a few interacting fermions to the time-dependent potential barrier
title_full_unstemmed Dynamical resistivity of a few interacting fermions to the time-dependent potential barrier
title_short Dynamical resistivity of a few interacting fermions to the time-dependent potential barrier
title_sort dynamical resistivity of a few interacting fermions to the time dependent potential barrier
topic few-body system
ultra-cold fermions
external driving
dynamical properties
url https://doi.org/10.1088/1367-2630/abee41
work_keys_str_mv AT dillipknandy dynamicalresistivityofafewinteractingfermionstothetimedependentpotentialbarrier
AT tomaszsowinski dynamicalresistivityofafewinteractingfermionstothetimedependentpotentialbarrier