| Project/Area Number |
23KF0293
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| Research Category |
Grant-in-Aid for JSPS Fellows
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| Allocation Type | Multi-year Fund |
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| Section | 外国 |
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| Review Section |
Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
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| Research Institution | Institute of Physical and Chemical Research |
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Principal Investigator |
NORI FRANCO 国立研究開発法人理化学研究所, 量子コンピュータ研究センター, チームリーダー (50415262)
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| Co-Investigator(Kenkyū-buntansha) |
MENCZEL PAUL 国立研究開発法人理化学研究所, 量子コンピュータ研究センター, 外国人特別研究員
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| Project Period (FY) |
2023-11-15 – 2026-03-31
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| Project Status |
Granted (Fiscal Year 2023)
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| Budget Amount *help |
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 2025: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2024: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2023: ¥400,000 (Direct Cost: ¥400,000)
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| Keywords | QuTiP / dissipative state / quantum jump / trajectories |
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| Outline of Research at the Start |
We first focus on the pseudomode technique, where the degrees of freedom of the open system's environment are separated into strongly interacting components and a residual, weakly coupled environment.
In the second part of this project, we plan to investigate the thermodynamics of quantum devices more closely.
We will then be able to apply the previously developed methods to a range of further applications including shortcut-to-adiabaticity protocols, the use of machine-learning techniques to simplify non-Markovian environments, or the investigation of quantum phase transitions.
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| Outline of Annual Research Achievements |
In FY 2023, we have started our research according to the submitted research plan. Some of our first achievements were based on results regarding the generalized pseudomode technique that were obtained in an earlier short-term JSPS fellowship. For example, we have studied multi-time correlation functions and interaction observables in strongly coupled open quantum systems using pseudomodes, and we have investigated the relationship between pseudomodes and dissipatons. These results were included in publication [1], which also contains the main results of the earlier fellowship. We were also able to successfully apply ideas from the pseudomode technique to the problem of dissipative state engineering, see publication [2]. Further, we have started our work on the statistics of quantum jump trajectories, focusing on an equivalence between the jump-time ensemble and the full-counting statistics of the process, and are currently preparing our first manuscript related to this topic.
In addition, we have presented our preliminary results at multiple occasions, including a workshop in Tainan, Taiwan, and we have continually been working on supporting and improving the QuTiP software package which is used not only by ourselves but all around the world for the easy and efficient simulation of open quantum dynamics.
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| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
The work is progressing as it was scheduled.
In our research plan, we proposed 4 major tasks. In our work so far, we have started attacking three of these major tasks.
Regarding the first task (“heat flow and fluctuations”), we have shown that the pseudomode framework is a suitable tool for the study of fluctuations in strongly coupled open quantum systems through their multi-time correlation functions. We have also started investigating general theoretical tools for the study of the heat flow and fluctuations in stochastic processes in general, and in open quantum systems in particular.
Regarding the third task (“beyond harmonic pseudomodes”), we have identified dissipatons as an example of generalized pseudomodes that go beyond the usual framework of harmonic pseudomodes.
Regarding the fourth task (“further goals”), we have applied our framework to dissipative state engineering, and we have started studying quantum phase transition first at weak coupling, using the illustrative example of the Su-Schrieffer-Heeger(SSH) This research is still in its early stages.
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| Strategy for Future Research Activity |
We are planning to continue our work following the submitted research plan. The next steps are to finish our studies of the statistics of quantum jump trajectories and apply it to the SSH model. We will then move back to strongly coupled open quantum systems and try to understand its fluctuations using the pseudomode framework. Beyond that, we intend to apply our theoretical results to practical examples that could be studied in the lab, we will continue to try generalizing our pseudomode framework even further, and we will explore further applications such as the implementation of shortcut-to-adiabaticity protocols in the strong-coupling regime.
Further applications might also be found through interaction with other researchers in Japan and around the world. For this reason, we intend to present our results at multiple occasions in the upcoming months, including a workshop in Kyoto, a large international conference in the United States, and the upcoming annual meeting of the Physical Society of Japan.
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