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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.

在过去的一年里，我发表了三篇关于这个项目的主要论文。其中两篇论文集中在动力学的量子系统在超对称（超对称）的潜力。超对称性允许建立一个层次的退化潜力，可以映射到另一个通过超对称性运营商。在第一项工作中，我探索了不同SUSY势之间多体状态的猝灭动力学，表明与任意势之间的猝灭相比，初始状态的恢复在周期性时间持续存在[PRR 4 033014（2022）]。对绝热性（STA）捷径的后续工作表明，SUSY可以帮助量子控制，允许仅使用关于其相互SUSY算子的信息来设计SUSY势族的STA [NJP 24 095001（2022）]。这也允许将状态的量子速度限制（QSL）与其SUSY算子相关联，表明相同层次中的状态具有密切相关的QSL，因此动态。QSL的作用在量子热机中使用的相互作用少体系统中得到进一步探索[PRR 5 013088（2023）]。这里，动态地控制陷波频率和相互作用，从而允许实现具有由于相互作用而增强的性能的奥托循环。虽然动态控制相互作用增加了QSL时间并限制了功率输出，但从相互作用中获得的增强仍然允许其优于非相互作用循环。