# Dynamical creation of entangled bosonic states in a double well

Source: [Dynamical creation of entangled bosonic states in a double well](<https://www.sota2.com/research/paper/68fa2a6f1e209131ce83de2a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T13:34:41.005Z

Authors: K. Ziegler

Published: 2011-03-22T09:19:46.000Z

## Abstract

We study the creation of a bosonic N00N state from the evolution of a Fock state in a double well. While noninteracting bosons disappear quickly in the Hilbert space, the evolution under the influence of a Bose-Hubbard Hamiltonian is much more restricted. This restriction is caused by the fragmentation of the spectrum into a high-energy part with doubly degenerate levels and a nondegenerate low-energy part. This degeneracy suppresses transitions to states of the high-energy part of the spectrum. At a moderate interaction strength this effect supports strongly the dynamical formation of a N00N state. The N00N state is suppressed in an asymmetric double well, where the double degeneracy is absent.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1103.4231>)

[PDF](<https://arxiv.org/pdf/1103.4231.pdf>)