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Acta Physica Sinica

Manipulation of quantum steering in a cavity Bose-Einstein condensate system via a single atom

JIA Shaopeng, ZHANG Rui, Bo Li, LI Wenjuan, JIAO Yafeng, 景辉 Jing Hui, KUANG Leman

Published Jan 1, 2026• 0 citations
Publisher

Abstract

本文通过单原子掺杂调控腔玻色–爱因斯坦凝聚体(Bose-Einstein condensate,BEC)系统中的量子导引性质。结果表明,单原子掺杂的腔BEC系统可等效为一个广义Dicke模型,其正常相和超辐射相均展现出丰富的量子导引特性。在有杂质原子的情况下,正常相中腔场与凝聚原子之间仅存在单向量子导引,超辐射相中则同时存在单向和双向量子导引;在无杂质原子的情况下,正常相和超辐射相中腔场与凝聚原子之间均同时存在单向和双向量子导引。研究发现,单个杂质原子可作为调控量子导引的“单原子开关”:通过开启或关闭杂质与BEC之间的相互作用,不仅能够灵活控制单向量子导引的方向,还能实现单向与双向量子导引之间的相互转换。此外,量子导引参数在量子相变临界点处发生突变,可作为判定量子相变发生的有效标志。这些结果为利用单原子调控腔场-BEC系统中的量子导引,以及探测广义Dicke模型中正常相与超辐射相之间的量子相变提供了新途径。

DOI
10.7498/aps.75.20260774

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本文通过单原子掺杂调控腔玻色–爱因斯坦凝聚体(Bose-Einstein condensate,BEC)系统中的量子导引性质。结果表明,单原子掺杂的腔BEC系统可等效为一个广义Dicke模型,其正常相和超辐射相均展现出丰富的量子导引特性。在有杂质原子的情况下,正常相中腔场与凝聚原子之间仅存在单向量子导引,超辐射相中则同时存在单向和双向量子导引;在无杂质原子的情况下,正常相和超辐射相中腔场与凝聚原子之间均同时存在单向和双向量子导引。研究发现,单个杂质原子可作为调控量子导引的“单原子开关”:通过开启或关闭杂质与BEC之间的相互作用,不仅能够灵活控制单向量子导引的方向,还能实现单向与双向量子导引之间的相互转换。此外,量子导引参数在量子相变临界点处发生突变,可作为判定量子相变发生的有效标志。这些结果为利用单原子调控腔场-BEC系统中的量子导引,以及探测广义Dicke模型中正常相与超辐射相之间的量子相变提供了新途径。
针对一维对称双势阱中玻色-爱因斯坦凝聚体(BEC)的高效量子调控问题,本文提出一种新型绝热捷径动力学方案。该方案基于含时Gross-Pitaevskii方程的标度不变性和广义Ermakov方程,结合逆向工程构建调控路径,通过实时调控系统参数动态补偿非绝热能量损耗,适配双势阱特有的势场结构。相较于传统绝热过程,该方案可在更短时间尺度内实现量子体系的高保真度调控,有效解决双势阱体系因几何复杂性与阱间相互作用导致的调控难题。研究为一维对称双势阱中BEC的精确量子操纵提供了可行路径,可进一步推广至多维双势阱量子体系的高效调控。
我们开发一个五井的模型因为描述 Bose 爱因斯坦冷凝物(BEC ) 的掘的动力学在 2D 套住光格子。在这个五井的模型的 BEC 的掘的动力学被调查经分解并且数字地。我们在二井、三井、五井的系统之中集中于自我套住的状态和掘的动力学的差别。为自我套住的状态和在零阶段的模式和 p 阶段模式的五套住的 BEC 的阶段图的标准被获得。我们发现标准和阶段图被在井之间的系统和阶段差别的尺寸大部分修改。五井的模型是一个好模型并且能给我们卓见进在 2D 套住的 BEC 的掘的动力学光格子。[从作者抽象]
We study Einstein-Podolsky-Rosen (EPR) steering properties of quantum phases in the generalized Dicke model (GDM) generated by a cavity Bose-Einstein condensate (BEC) doped with a single impurity. It is shown that the normal and superradiant phases of the GDM exhibit much rich EPR steerability. In the normal phase, there exist one-way EPR steering from the cavity field (condensed atoms) to condensed atoms (the cavity field). In the superradiant phase, there is either one-way or two-way EPR steering for the cavity field and condensed atoms. It is found that the single impurity can act as a single-atom switch of the EPR steering to control the steering direction of one-way EPR steering and the transition between one-way and two-way EPR steering through switching on or off the impurity-BEC coupling. It is proved that the EPR steering parameters can witness the quantum phase transition (QPT) occurrence through the sudden change of the EPR steering parameters at the critical point of the QPT. Our results open a new way to manipulate macroscopic EPR steering and witness the QPT between the normal phase and the superradiant phase in the GDM through a microscopic impurity atom.
Abstract We present a hybrid opto-magno-mechanical cavity system consisting of an optical cavity that creates an opto-mechanical cavity with a fixed mirror, a magnon mode in a ferrimagnetic crystal linked to the movable mirror and an intracavity Bose–Einstein condensate. The mechanical displacement is coupled to the magnon by the magnetostriction force and to the optical cavity by the radiation pressure, and the latter is also weakly coupled to a Bose–Einstein condensate. We provide a strategy to measure and quantify entanglement using logarithmic negativity. In addition, we study the quantum or EPR steering in order to present the stationary quantum steering. We consider that all composite modes in our model are given in a Gaussian state described by a covariance matrix. In these studies, we focus on the interaction between the Bose–Einstein condensate and the magnonic modes in a ferrimagnetic crystal. It is important to note that we use experimentally controllable realizable parameters to observe the interaction of modes at temperatures in the microkelvin range.