Phase engineering of squeezed states and controlled entangled number states of Bose-Einstein condensates in multiple wells

TL;DR

This paper introduces a scheme for generating controlled entangled and squeezed states of Bose-Einstein condensates in multiple wells, enabling tunable quantum states with less restrictive adiabatic conditions.

Contribution

It presents a novel method for creating squeezed states without severe adiabatic constraints and a general formula for initial phase differences applicable to any number of wells.

Findings

Successful generation of tunable entangled states.

New method for creating squeezed states without strict adiabatic constraints.

General formula for initial phase difference in multiple wells.

Abstract

We provide a scheme for the generation of controlled entangled number states of Bose-Einstein condensates in multiple wells, and also provide a novel method for the creation of squeezed states without severe adiabatic constraints on barrier heights. The condensate in a multiple well trap can be evolved, starting with a specific initial phase difference between the neighboring wells, to a tunable entangled state or a squeezed state. We propose a general formula for the initial phase difference between the neighboring wells that is valid for any number of wells, even and odd.