Exploring the effect of correlations on quantum speed limits in interacting cold atom systems

探索相互作用的冷原子系统中相关性对量子速度极限的影响

基本信息

批准号：
21K13856
负责人：
FOGARTY Thomas
金额：
$ 1.66万
依托单位：
Okinawa Institute of Science and Technology Graduate University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Early-Career Scientists
财政年份：
2021
资助国家：
日本
起止时间：
2021-04-01 至 2024-03-31
项目状态：
已结题

项目摘要

In the past year I have published 3 main papers on this project. Two of these papers focussed on dynamics of quantum systems in supersymmetric(SUSY) potentials. SUSY allows to build a hierarchy of degenerate potentials that can be mapped to one another through SUSY operators. In the first work I explored the quench dynamics of many-body states between different SUSY potentials showing that revivals of the initial state are persevered at periodic times, in comparison to quenches between arbitrary potentials [PRR 4 033014 (2022)]. Follow up work on shortcuts to adiabaticity (STAs) showed that SUSY can aid in quantum control, allowing to design STAs for a family of SUSY potentials using only information on their mutual SUSY operators [NJP 24 095001 (2022)]. This also allowed to relate the quantum speed limits (QSLs) of states with respect to their SUSY operators, showing that states in the same hierarchy have closely related QSLs and therefore dynamics.The role of QSLs was further explored in interacting few-body systems which are used in a quantum heat engine [PRR 5 013088 (2023)]. Here the trap frequency and interaction are dynamically controlled allowing to realize an Otto cycle with enhanced performance due to the interactions. While dynamically controlling the interaction increases the QSL time and limits the power output, the enhancement obtained from the interactions still allows it outperform non-interacting cycles.

在过去的一年中，我发表了有关该项目的3篇主要论文。这些论文中的两个重点介绍了超对称（SUSY）电位中量子系统的动力学。 Susy允许建立一个堕落潜力的层次结构，可以通过Susy操作员互相映射。在第一部工作中，我探讨了不同的SUSY电位之间多体状态的淬火动力学，表明初始状态的复兴在定期期间是持久的，与任意电位之间的淬火相比[PRR 4 033014（2022）]。对绝热性快捷方式（Stas）的后续工作表明，Susy可以帮助量子控制，从而使SUSY电位的家族仅使用其共同的SUSY操作员[NJP 24 095001（2022）]为SUSY电位家庭设计STA。这也允许将与其SUSY操作员有关的状态的量子速度限制（QSL）联系起来，这表明在同一层次结构中的状态具有密切相关的QSL，因此动态。在这里，陷阱频率和相互作用是动态控制的，可以通过相互作用而实现具有增强性能的OTTO循环。动态控制交互作用会增加QSL时间并限制功率输出，但从交互中获得的增强仍然使其超越非交互式循环。