Two-body correlations and natural-orbital tomography in ultracold bosonic systems of definite parity

Krönke, Sven; Schmelcher, Peter

doi:10.1103/physreva.92.023631

Cited by 12 publications

(8 citation statements)

References 65 publications

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“…For this, we have to employ a suitable many-body theoretical and computational approach. Such a many-body tool is the multiconfigurational time-dependent Hartree (MCTDH) for bosons (MCTDHB) method [48,49] which has been extensively used in the literature [50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67]. For further documentation of MCTDHB see [68][69][70], and for its benchmarks with an exactly-solvable model [71] (and [72]).…”

Section: Resultsmentioning

confidence: 99%

Variance of an anisotropic Bose-Einstein condensate

et al. 2018

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The anisotropy of a trap potential can impact the density and variance of a Bose-Einstein condensate (BEC) in an opposite manner. We exemplify this effect for both the ground state and out-of-equilibrium dynamics of structureless bosons interacting by a long-range inter-particle interaction and trapped in a two-dimensional single-well potential. We demonstrate that even when the density of the BEC is, say, wider along the y direction and narrower along the x direction, its position variance can actually be smaller and momentum variance larger in the y direction than in the x direction. This behavior of the variance in a many-particle system is counterintuitive. It suggests using the variance as a tool to characterize the strength of correlations along the y and x directions in a trapped BEC.

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Section: Resultsmentioning

confidence: 99%

Variance of an anisotropic Bose-Einstein condensate

et al. 2018

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“…We need a suitable and proved many-body tool to arrive at detailed conclusions. Such a many-body tool is the multiconfigurational time-dependent Hartree for bosons (MCTDHB) method, which has been well documented [40][41][42][43], benchmarked [44], and extensively applied [45][46][47][48][49][50][51][52][53][54][55][56][57][58][59] in the literature. Particularly, the numericallyexact quantum dynamics of the one-dimensional bosonic-Josephson-junction system has been reported in Ref.…”

Section: B Case Study: a Bosonic Josephson Junctionmentioning

confidence: 99%

Uncertainty product of an out-of-equilibrium many-particle system

2016

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In the present work we show, analytically and numerically, that the variance of many-particle operators and their uncertainty product for an out-of-equilibrium Bose-Einstein condensate (BEC) can deviate from the outcome of the time-dependent Gross-Pitaevskii dynamics, even in the limit of infinite number of particles and at constant interaction parameter when the system becomes 100% condensed. We demonstrate our finding on the dynamics of the center-of-mass positionmomentum uncertainty product of a freely expanding as well as of a trapped BEC. This timedependent many-body phenomenon is explained by the existence of time-dependent correlations which manifest themselves in the system's reduced two-body density matrix used to evaluate the uncertainty product. Our work demonstrates that one has to use a many-body propagation theory to describe an out-of-equilibrium BEC, even in the infinite particle limit.

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“…We need a suitable and proved many-body tool to make the calculations. Such a many-body tool is the multiconfigurational time-dependent Hartree for bosons (MCTDHB) method, which has been well documented [30][31][32][33][34][35], benchmarked [36], and extensively used [37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55] in the literature.…”

Section: Applicationsmentioning

confidence: 99%

Uncertainty product of an out-of-equilibrium Bose-Einstein condensate

Klaiman

Streltsov

Alon

2017

J. Phys.: Conf. Ser.

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The variance and uncertainty product of the position and momentum many-particle operators of structureless bosons interacting by a long-range inter-particle interaction and trapped in a singlewell potential are investigated. In the first example, of an out-of-equilibrium interaction-quench scenario, it is found that, despite the system being fully condensed, already when a fraction of a particle is depleted differences with respect to the mean-field quantities emerge. In the second example, of the pathway from condensation to fragmentation of the ground state, we find out that, although the cloud's density broadens while the system's fragments, the position variance actually decreases, the momentum variance increases, and the uncertainty product is not a monotonous function but has a maximum. Implication are briefly discussed.

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Two-body correlations and natural-orbital tomography in ultracold bosonic systems of definite parity

Cited by 12 publications

References 65 publications

Variance of an anisotropic Bose-Einstein condensate

Variance of an anisotropic Bose-Einstein condensate

Uncertainty product of an out-of-equilibrium many-particle system

Uncertainty product of an out-of-equilibrium Bose-Einstein condensate

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