Classical-field approximation for cold weakly interacting bosons without free parameters
نویسندگان
چکیده
منابع مشابه
Yrast line for weakly interacting trapped bosons
We compute numerically the yrast line for harmonically trapped boson systems with a weak repulsive contact interaction, studying the transition to a vortex state as the angular momentum L increases and approaches N , the number of bosons. The L = N eigenstate is indeed dominated by particles with unit angular momentum, but the state has other significant components beyond the pure vortex config...
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Inspired by the works of Rodnianski and Schlein [31] and Wu [34, 35], we derive a new nonlinear Schrödinger equation that describes a second-order correction to the usual tensor product (mean-field) approximation for the Hamiltonian evolution of a many-particle system in Bose-Einstein condensation. We show that our new equation, if it has solutions with appropriate smoothness and decay properti...
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Inspired by the works of Rodnianski and Schlein [31] and Wu [34,35], we derive a new nonlinear Schrödinger equation that describes a second-order correction to the usual tensor product (mean-field) approximation for the Hamiltonian evolution of a many-particle system in Bose-Einstein condensation. We show that our new equation, if it has solutions with appropriate smoothness and decay propertie...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2004
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.70.033614