TL;DR
This paper investigates how a weakly interacting bosonic system evolves from a fragmented initial state, demonstrating that its state can be represented as a superposition of infinite Gross-Pitaevskii states over time.
Contribution
It introduces a novel framework expressing the time evolution of fragmented bosonic states as a superposition of Gross-Pitaevskii states.
Findings
State at any time is a continuous superposition of infinite Gross-Pitaevskii states.
Provides a new perspective on the dynamics of fragmented Bose systems.
Enhances understanding of many-body quantum state evolution.
Abstract
We consider the problem of evolution of the many-body state of a weakly interacting system of bosons in an initially fragmented (Fock) state. We show that the state at any time can be expressed as a continuous superposition of an infinite number of Gross-Pitaevskii states.
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