Many-Body Quantum Dynamics of a Bosonic Josephson Junction with a Finite-Range Interaction

Sudip Kumar Haldar; Ofir E. Alon

doi:10.1088/1742-6596/1206/1/012010

Many-Body Quantum Dynamics of a Bosonic Josephson Junction with a Finite-Range Interaction

Sudip Kumar Haldar, Ofir E. Alon

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The out-of-equilibrium quantum dynamics of a Bose gas trapped in an asymmetric double well and interacting with a finite-range interaction has been studied in real space by solving the time-dependent many-body Schrödinger equation numerically accurately using the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). We have focused on the weakly interacting limit where the system is essentially condensed. We have examined the impact of the range of the interaction on the dynamics of the system, both at the mean-field and many-body levels. Explicitly, we have studied the maximal and the minimal values of the many-body position variance in each cycle of oscillation, and the overall pace of its growth. We find that the range of the interaction affects the dynamics of the system differently for the right well and the left well. We have also examined the infinite-particle limit and find that even there, the impact of the range of the interaction can only be described by a many-body theory such as MCTDHB.

Original language	English
Article number	012010
Number of pages	11
Journal	Journal of Physics: Conference Series
Volume	1206
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/1206/1/012010
State	Published - 17 Apr 2019
Event	27th Annual International Laser Physics Workshop, LPHYS 2018 - Nottingham, United Kingdom Duration: 16 Jul 2018 → 18 Jul 2018

Bibliographical note

Funding Information:
This research was supported by the Israel Science Foundation (Grant No. 600/15). Computation time on the High Performance Computing system Hive of the Faculty of Natural Sciences at University of Haifa is gratefully acknowledged. We also acknowledge computation time on the BwForCluster and the Cray XC40 system Hazelhen at the High Performance Computing Center Stuttgart (HLRS). SKH gratefully acknowledges the continuous hospitality at the Lewiner Institute for Theoretical Physics (LITP), Department of Physics, Technion - Israel Institute of Technology. SKH also acknowledges fruitful discussions with Anal Bhowmik.

Publisher Copyright:
© Published under licence by IOP Publishing Ltd.

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1088/1742-6596/1206/1/012010

Cite this

@article{58f676e9452f4d88808394311fa7a2c7,

title = "Many-Body Quantum Dynamics of a Bosonic Josephson Junction with a Finite-Range Interaction",

abstract = "The out-of-equilibrium quantum dynamics of a Bose gas trapped in an asymmetric double well and interacting with a finite-range interaction has been studied in real space by solving the time-dependent many-body Schr{\"o}dinger equation numerically accurately using the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). We have focused on the weakly interacting limit where the system is essentially condensed. We have examined the impact of the range of the interaction on the dynamics of the system, both at the mean-field and many-body levels. Explicitly, we have studied the maximal and the minimal values of the many-body position variance in each cycle of oscillation, and the overall pace of its growth. We find that the range of the interaction affects the dynamics of the system differently for the right well and the left well. We have also examined the infinite-particle limit and find that even there, the impact of the range of the interaction can only be described by a many-body theory such as MCTDHB.",

author = "{Kumar Haldar}, Sudip and Alon, {Ofir E.}",

note = "Funding Information: This research was supported by the Israel Science Foundation (Grant No. 600/15). Computation time on the High Performance Computing system Hive of the Faculty of Natural Sciences at University of Haifa is gratefully acknowledged. We also acknowledge computation time on the BwForCluster and the Cray XC40 system Hazelhen at the High Performance Computing Center Stuttgart (HLRS). SKH gratefully acknowledges the continuous hospitality at the Lewiner Institute for Theoretical Physics (LITP), Department of Physics, Technion - Israel Institute of Technology. SKH also acknowledges fruitful discussions with Anal Bhowmik. Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd.; 27th Annual International Laser Physics Workshop, LPHYS 2018 ; Conference date: 16-07-2018 Through 18-07-2018",

year = "2019",

month = apr,

day = "17",

doi = "10.1088/1742-6596/1206/1/012010",

language = "English",

volume = "1206",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

TY - JOUR

T1 - Many-Body Quantum Dynamics of a Bosonic Josephson Junction with a Finite-Range Interaction

AU - Kumar Haldar, Sudip

AU - Alon, Ofir E.

N1 - Funding Information: This research was supported by the Israel Science Foundation (Grant No. 600/15). Computation time on the High Performance Computing system Hive of the Faculty of Natural Sciences at University of Haifa is gratefully acknowledged. We also acknowledge computation time on the BwForCluster and the Cray XC40 system Hazelhen at the High Performance Computing Center Stuttgart (HLRS). SKH gratefully acknowledges the continuous hospitality at the Lewiner Institute for Theoretical Physics (LITP), Department of Physics, Technion - Israel Institute of Technology. SKH also acknowledges fruitful discussions with Anal Bhowmik. Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2019/4/17

Y1 - 2019/4/17

N2 - The out-of-equilibrium quantum dynamics of a Bose gas trapped in an asymmetric double well and interacting with a finite-range interaction has been studied in real space by solving the time-dependent many-body Schrödinger equation numerically accurately using the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). We have focused on the weakly interacting limit where the system is essentially condensed. We have examined the impact of the range of the interaction on the dynamics of the system, both at the mean-field and many-body levels. Explicitly, we have studied the maximal and the minimal values of the many-body position variance in each cycle of oscillation, and the overall pace of its growth. We find that the range of the interaction affects the dynamics of the system differently for the right well and the left well. We have also examined the infinite-particle limit and find that even there, the impact of the range of the interaction can only be described by a many-body theory such as MCTDHB.

AB - The out-of-equilibrium quantum dynamics of a Bose gas trapped in an asymmetric double well and interacting with a finite-range interaction has been studied in real space by solving the time-dependent many-body Schrödinger equation numerically accurately using the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). We have focused on the weakly interacting limit where the system is essentially condensed. We have examined the impact of the range of the interaction on the dynamics of the system, both at the mean-field and many-body levels. Explicitly, we have studied the maximal and the minimal values of the many-body position variance in each cycle of oscillation, and the overall pace of its growth. We find that the range of the interaction affects the dynamics of the system differently for the right well and the left well. We have also examined the infinite-particle limit and find that even there, the impact of the range of the interaction can only be described by a many-body theory such as MCTDHB.

UR - http://www.scopus.com/inward/record.url?scp=85065570731&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1206/1/012010

DO - 10.1088/1742-6596/1206/1/012010

M3 - Article

AN - SCOPUS:85065570731

SN - 1742-6588

VL - 1206

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012010

T2 - 27th Annual International Laser Physics Workshop, LPHYS 2018

Y2 - 16 July 2018 through 18 July 2018

ER -

Many-Body Quantum Dynamics of a Bosonic Josephson Junction with a Finite-Range Interaction

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this