MCTDH-X: The Multiconfigurational Time-Dependent Hartree Method for Indistinguishable Particles High-Performance Computation Project

Lode, Axel U. J.; Alon, Ofir E.; Bastarrachea-Magnani, Miguel A.; Bhowmik, Anal; Buchleitner, Andreas; Cederbaum, Lorenz S.; Читра, Р.; Faßhauer, Elke; Parny, Laurent de Forges de; Haldar, Sudip Kumar; Lévêque, Camille; Lin, Rui; Madsen, Lars Bojer; Molignini, Paolo; Papariello, Luca; Schäfer, Frank; Streltsov, Alexej I.; Tsatsos, Marios C.; Weiner, Storm E.

doi:10.1007/978-3-030-80602-6_2

Cited by 3 publications

(4 citation statements)

References 122 publications

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“…The main focus of the applications of MCTDHB has been the emergence of fragmentation of the condensate, where the one-body reduced density matrix has multiple significant eigenvalues. For numerical simulation of the results presented in this work, we use the MCTDH-X software [74][75][76][77] . Finally, the supplemental material reports the benchmarking of MCTDHB for an exactly solvable many-body model under rotation and also presents the convergence of the many-body results of our present work.…”

Section: Fragmentation and Correlations In A Rotating Bose-einstein C...mentioning

confidence: 99%

“…In the following sections, we analyze the effect of rotation ( 14) www.nature.com/scientificreports/ on various static properties, namely the ground state energy, one-body density, natural occupations, expectation value of the angular momentum operator, and finally, the variances of the many-particle position, momentum, and angular momentum operators as a function of the rotation frequency ω r . For the numerical computations, the MCTDH-X implementation of the MCTDHB theory is employed [74][75][76][77] . In our work, we consider N = 10 weakly interacting ultracold bosonic atoms interacting via a Gaussian interaction 65,66,79 with the interaction parameter chosen as = 0.1 throughout the computations.…”

Section: Many-body Physics Of Bose-einstein Condensates Breaking Up U...mentioning

confidence: 99%

See 1 more Smart Citation

Fragmentation and correlations in a rotating Bose–Einstein condensate undergoing breakup

Dutta

Lode

Alon

2023

Sci Rep

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The theoretical investigation of rotating Bose–Einstein condensates has mainly focused on the emergence of quantum vortex states and the condensed properties of such systems. In the present work, we concentrate on other facets by examining the impact of rotation on the ground state of weakly interacting bosons confined in anharmonic potentials computed both at the mean-field level and particularly at the many-body level of theory. For the many-body computations, we employ the well-established many-body method known as the multiconfigurational time-dependent Hartree method for bosons. We present how various degrees of fragmentation can be generated following the breakup of the ground state densities in anharmonic traps without ramping up a potential barrier for strong rotations. The breakup of the densities is found to be associated with the acquisition of angular momentum in the condensate due to the rotation. In addition to fragmentation, the presence of many-body correlations is examined by computing the variances of the many-particle position and momentum operators. For strong rotations, the many-body variances become smaller than their mean-field counterparts, and one even finds a scenario with opposite anisotropies of the mean-field and many-body variances. Further, it is observed that for higher discrete symmetric systems of order k, namely three-fold and four-fold symmetry, breakup to k sub-clouds and emergence of k-fold fragmentation take place. All in all, we provide a thorough many-body investigation of how and which correlations build up when a trapped Bose–Einstein condensate breaks up under rotation.

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Section: Fragmentation and Correlations In A Rotating Bose-einstein C...mentioning

confidence: 99%

Section: Many-body Physics Of Bose-einstein Condensates Breaking Up U...mentioning

confidence: 99%

Fragmentation and correlations in a rotating Bose–Einstein condensate undergoing breakup

Dutta

Lode

Alon

2023

Sci Rep

View full text Add to dashboard Cite

show abstract

“…In the following sections, we analyze the effect of rotation on various static properties, namely the ground state energy, one-body density, natural occupations, expectation value of the angular momentum operator, and finally, the variances of the many-particle position, momentum, and angular momentum operators as a function of the rotation frequency ω r . For the numerical computations, the MCTDH-X implementation of the MCTDHB theory is employed [72][73][74][75]. In our work, we consider N = 10 weakly interacting ultracold bosonic atoms interacting via a Gaussian interaction [63,64,77] with the interaction parameter chosen as Λ = 0.1 throughout the computations.…”

Section: Many-body Physics Of Bose-einstein Condensates Breaking Up U...mentioning

confidence: 99%

“…The main focus of the applications of MCTDHB has been the emergence of fragmentation of the condensate, where the one-body reduced density matrix has multiple significant eigenvalues. For numerical simulation of the results presented in this work, we use the MCTDH-X software [72][73][74][75]. Finally, the supplemental material reports the benchmarking of MCTDHB for an exactly solvable many-body model under rotation and also presents the convergence of the many-body results of our present work.…”

Section: Introductionmentioning

confidence: 99%

Fragmentation and correlations in a rotating Bose-Einstein condensate undergoing breakup

Dutta¹,

Lode²,

Alon³

2022

Preprint

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The theoretical investigation of rotating Bose-Einstein condensates has mainly focused on the emergence of quantum vortex states and the condensed properties of such systems. In the present work, we concentrate on other facets by examining the impact of rotation on the ground state of weakly interacting bosons confined in anharmonic potentials computed both at the mean-field level and particularly at the many-body level of theory. For the many-body computations, we employ the well-established many-body method known as the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). We present how various degrees of fragmentation can be generated following the breakup of the ground state densities in anharmonic traps without ramping up a potential barrier for strong rotations. The breakup of the densities is found to be associated with the acquisition of angular momentum in the condensate due to the rotation. In addition to fragmentation, the presence of many-body correlations is examined by computing the variances of the many-particle position and momentum operators. For strong rotations, the many-body variances become smaller than their mean-field counterparts, and one even finds a scenario with opposite anisotropies of the mean-field and many-body variances. Further, it is observed that for higher discrete symmetric systems of order k, namely three-fold and four-fold symmetry, breakup to k sub-clouds and emergence of k-fold fragmentation take place. All in all, we provide a thorough many-body investigation of how and which correlations build up when a trapped Bose-Einstein condensate breaks up under rotation.

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Correlations, Shapes, and Fragmentations of Ultracold Matter

Lode,

Alon,

Bhowmik

et al. 2024

High Performance Computing in Science and Engineering '22

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MCTDH-X: The Multiconfigurational Time-Dependent Hartree Method for Indistinguishable Particles High-Performance Computation Project

Cited by 3 publications

References 122 publications

Fragmentation and correlations in a rotating Bose–Einstein condensate undergoing breakup

Fragmentation and correlations in a rotating Bose–Einstein condensate undergoing breakup

Fragmentation and correlations in a rotating Bose-Einstein condensate undergoing breakup

Correlations, Shapes, and Fragmentations of Ultracold Matter

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