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Multiconfigurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
The evolution of Bose-Einstein condensates is amply described by the time-dependent Gross-Pitaevskii mean-field theory which assumes all bosons to reside in a single time-dependent one-particle stateExpand
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Unified view on multiconfigurational time propagation for systems consisting of identical particles.
We show that the successful and formally exact multiconfigurational time-dependent Hartree method (MCTDH) takes on a unified and compact form when specified for systems of identical particles (MCTDHFExpand
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Role of excited states in the splitting of a trapped interacting Bose-Einstein condensate by a time-dependent barrier.
An essentially exact approach to compute the wave function in the time-dependent many-boson Schrödinger equation is derived and employed to study accurately the process of splitting a trappedExpand
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Formation and dynamics of many-boson fragmented states in one-dimensional attractive ultracold gases.
The dynamics of attractive ultracold bosonic clouds in one dimension is studied by solving the many-particle time-dependent Schrödinger equation. The initially coherent wave packet can dynamicallyExpand
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Swift loss of coherence of soliton trains in attractive Bose-Einstein condensates.
Experiments on ultracold attractive Bose-Einstein condensates (BECs) have demonstrated that at low dimensions atomic clouds can form localized objects, propagating for long times without significantExpand
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General mapping for bosonic and fermionic operators in Fock space
In this article, we provide an alternative and general way to construct the result of the action of any particle-conserving bosonic or fermionic operator represented in second quantized form on aExpand
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Numerically exact quantum dynamics of bosons with time-dependent interactions of harmonic type
The exactly solvable quantum many-particle model with harmonic one- and two-particle in- teraction terms is extended to include time-dependency. We show that when the external trap potential andExpand
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How an interacting many-body system tunnels through a potential barrier to open space
The tunneling process in a many-body system is a phenomenon which lies at the very heart of quantum mechanics. It appears in nature in the form of α-decay, fusion and fission in nuclear physics, andExpand
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Reduced density matrices and coherence of trapped interacting bosons
The first- and second-order correlation functions of trapped interacting Bose-Einstein condensates are investigated numerically on a many-body level from first principles. Correlations in real spaceExpand
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Exact ground state of finite Bose-Einstein condensates on a ring (14 pages)
The exact ground state of the many-body Schr\"odinger equation for $N$ bosons on a one-dimensional ring interacting via a pairwise $\ensuremath{\delta}$-function interaction is presented for up to 50Expand
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