Jacek Dziarmaga and Krzysztof Sacha 2006 J. Phys. B: At. Mol. Opt. Phys. 39 57 doi:10.1088/0953-4075/39/1/007
Jacek Dziarmaga and Krzysztof Sacha
Show affiliationsEvolution of a Bose–Einstein condensate subject to a time-dependent external perturbation can be described by a time-dependent number-conserving Bogoliubov theory: a condensate initially in its ground state Bogoliubov vacuum evolves into a time-dependent excited state which can be formally written as a time-dependent Bogoliubov vacuum annihilated by time-dependent quasiparticle annihilation operators. We prove that any Bogoliubov vacuum can be brought to a diagonal form in a time-dependent orthonormal basis. This diagonal form is tailored for simulations of quantum measurements on an excited condensate. As an example we work out phase imprinting of a dark soliton followed by a density measurement.
Issue 1 (14 January 2006)
Received 9 August 2005, in final form 9 September 2005
Published 5 December 2005
Jacek Dziarmaga and Krzysztof Sacha 2006 J. Phys. B: At. Mol. Opt. Phys. 39 57
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