Impact of the transverse direction on the many-body tunneling dynamics in a two-dimensional bosonic Josephson junction

Abstract Tunneling in a many-body system appears as one of the novel implications of quantum physics, in which particles move in space under an otherwise classically-forbidden potential barrier. Here, we theoretically describe the quantum dynamics of the tunneling phenomenon of a few intricate boson...

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Autores principales:	Anal Bhowmik, Sudip Kumar Haldar, Ofir E. Alon
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2020
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/7c1ef832ad084b25a2c16aa2fcec95ac
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spelling	oai:doaj.org-article:7c1ef832ad084b25a2c16aa2fcec95ac2021-12-02T11:43:36ZImpact of the transverse direction on the many-body tunneling dynamics in a two-dimensional bosonic Josephson junction10.1038/s41598-020-78173-w2045-2322https://doaj.org/article/7c1ef832ad084b25a2c16aa2fcec95ac2020-12-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-78173-whttps://doaj.org/toc/2045-2322Abstract Tunneling in a many-body system appears as one of the novel implications of quantum physics, in which particles move in space under an otherwise classically-forbidden potential barrier. Here, we theoretically describe the quantum dynamics of the tunneling phenomenon of a few intricate bosonic clouds in a closed system of a two-dimensional symmetric double-well potential. We examine how the inclusion of the transverse direction, orthogonal to the junction of the double-well, can intervene in the tunneling dynamics of bosonic clouds. We use a well-known many-body numerical method, called the multiconfigurational time-dependent Hartree for bosons (MCTDHB) method. MCTDHB allows one to obtain accurately the time-dependent many-particle wavefunction of the bosons which in principle entails all the information of interest about the system under investigation. We analyze the tunneling dynamics by preparing the initial state of the bosonic clouds in the left well of the double-well either as the ground, longitudinally or transversely excited, or a vortex state. We unravel the detailed mechanism of the tunneling process by analyzing the evolution in time of the survival probability, depletion and fragmentation, and the many-particle position, momentum, and angular-momentum expectation values and their variances. As a general rule, all objects lose coherence while tunneling through the barrier and the states which include transverse excitations do so faster. In particular for the later states, we show that even when the transverse direction is seemingly frozen, prominent many-body dynamics in a two-dimensional bosonic Josephson junction occurs. Implications are briefly discussed.Anal BhowmikSudip Kumar HaldarOfir E. AlonNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-18 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Anal Bhowmik Sudip Kumar Haldar Ofir E. Alon Impact of the transverse direction on the many-body tunneling dynamics in a two-dimensional bosonic Josephson junction
description	Abstract Tunneling in a many-body system appears as one of the novel implications of quantum physics, in which particles move in space under an otherwise classically-forbidden potential barrier. Here, we theoretically describe the quantum dynamics of the tunneling phenomenon of a few intricate bosonic clouds in a closed system of a two-dimensional symmetric double-well potential. We examine how the inclusion of the transverse direction, orthogonal to the junction of the double-well, can intervene in the tunneling dynamics of bosonic clouds. We use a well-known many-body numerical method, called the multiconfigurational time-dependent Hartree for bosons (MCTDHB) method. MCTDHB allows one to obtain accurately the time-dependent many-particle wavefunction of the bosons which in principle entails all the information of interest about the system under investigation. We analyze the tunneling dynamics by preparing the initial state of the bosonic clouds in the left well of the double-well either as the ground, longitudinally or transversely excited, or a vortex state. We unravel the detailed mechanism of the tunneling process by analyzing the evolution in time of the survival probability, depletion and fragmentation, and the many-particle position, momentum, and angular-momentum expectation values and their variances. As a general rule, all objects lose coherence while tunneling through the barrier and the states which include transverse excitations do so faster. In particular for the later states, we show that even when the transverse direction is seemingly frozen, prominent many-body dynamics in a two-dimensional bosonic Josephson junction occurs. Implications are briefly discussed.
format	article
author	Anal Bhowmik Sudip Kumar Haldar Ofir E. Alon
author_facet	Anal Bhowmik Sudip Kumar Haldar Ofir E. Alon
author_sort	Anal Bhowmik
title	Impact of the transverse direction on the many-body tunneling dynamics in a two-dimensional bosonic Josephson junction
title_short	Impact of the transverse direction on the many-body tunneling dynamics in a two-dimensional bosonic Josephson junction
title_full	Impact of the transverse direction on the many-body tunneling dynamics in a two-dimensional bosonic Josephson junction
title_fullStr	Impact of the transverse direction on the many-body tunneling dynamics in a two-dimensional bosonic Josephson junction
title_full_unstemmed	Impact of the transverse direction on the many-body tunneling dynamics in a two-dimensional bosonic Josephson junction
title_sort	impact of the transverse direction on the many-body tunneling dynamics in a two-dimensional bosonic josephson junction
publisher	Nature Portfolio
publishDate	2020
url	https://doaj.org/article/7c1ef832ad084b25a2c16aa2fcec95ac
work_keys_str_mv	AT analbhowmik impactofthetransversedirectiononthemanybodytunnelingdynamicsinatwodimensionalbosonicjosephsonjunction AT sudipkumarhaldar impactofthetransversedirectiononthemanybodytunnelingdynamicsinatwodimensionalbosonicjosephsonjunction AT ofirealon impactofthetransversedirectiononthemanybodytunnelingdynamicsinatwodimensionalbosonicjosephsonjunction
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Impact of the transverse direction on the many-body tunneling dynamics in a two-dimensional bosonic Josephson junction

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