Time-dependent quantum many-body theory of identical bosons in a double well: Early time ballistic interferences of fragmented and number entangled states

Simple item page
dc.creatorMasiello, David J.
dc.creatorReinhardt, William P.
dc.date2007-02-04
dc.date2007-06-26
dc.date.accessioned2026-07-07T08:36:28Z
dc.date.available2026-07-07T08:36:28Z
dc.descriptionA time-dependent multiconfigurational self-consistent field theory is presented to describe the many-body dynamics of a gas of identical bosonic atoms confined to an external trapping potential at zero temperature from first principles. A set of generalized evolution equations are developed, through the time-dependent variational principle, which account for the complete and self-consistent coupling between the expansion coefficients of each configuration and the underlying one-body wave functions within a restricted two state Fock space basis that includes the full effects of the condensate's mean field as well as atomic correlation. The resulting dynamical equations are a classical Hamiltonian system and, by construction, form a well-defined initial value problem. They are implemented in an efficient numerical algorithm. An example is presented, highlighting the generality of the theory, in which the ballistic expansion of a fragmented condensate ground state is compared to that of a macroscopic quantum superposition state, taken here to be a highly entangled number state, upon releasing the external trapping potential. Strikingly different many-body matter-wave dynamics emerge in each case, accentuating the role of both atomic correlation and mean-field effects in the two condensate states.
dc.description16 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0702067
dc.identifierhttp://arxiv.org/abs/cond-mat/0702067
dc.identifierPhysical Review A 76, 043612 (2007)
dc.identifierdoi:10.1103/PhysRevA.76.043612
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140076
dc.subjectOther Condensed Matter
dc.titleTime-dependent quantum many-body theory of identical bosons in a double well: Early time ballistic interferences of fragmented and number entangled states
dc.typetext

Files

Collections

arXiv