Quantum coherence and entanglement induced by the continuum between distant localized states

TL;DR

This paper demonstrates that two distant quantum wells can form bound states within a continuum spectrum, enabling control over quantum coherence and entanglement through measurement and parameter tuning.

Contribution

It introduces a method to generate and manipulate bound states and entanglement between distant quantum wells via continuum coupling and measurement techniques.

Findings

Bound states can exist in the continuum between distant wells.

Null-result measurement isolates superposition states.

Entanglement can be controlled by tuning system parameters.

Abstract

It is demonstrated that two distant quantum wells separated by a reservoir with a continuous spectrum can possess bound eigenstates embedded in the continuum. These represent a linear superposition of quantum states localized in the wells. We show that such a state can be isolated in the course of free evolution from any initial state by a null-result measurement in the reservoir. The latter might not be necessary in the many-body case. The resulting superposition is regulated by ratio of couplings between the wells and the reservoir. In particular, one can lock the system in one of the wells by enhancing this ratio. By tuning parameters of the quantum wells, many-body entangled states in distant wells can be produced through interactions and statistics.