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"Man tries to make for himself in the fashion that suits him best a simplified and intelligible picture of the world; he then tries to some extent to substitute this cosmos of his for the world of experience, and thus to overcome it. This is what the painter, the poet, the speculative philosopher, and the natural scientist do, each in his own fashion. Each makes this cosmos and its construction the pivot of his emotional life, in order to find in this way the peace and security which he cannot find in the narrow whirlpool of personal experience." -- Albert Einstein (Note that some phrases are outdated. All those "man", "he" and "his" etc should be replaced by "one" and "one's".)
--- Open Quantum (Many-Body) Systems
Quantum many-body effects can exist in open quantum systems, where the interplay of driving, dissipation and system's coherent dynamics plays a crucial role.
Driven-dissipative phase transition in a Kerr oscillator. See our work arXiv:2007.01422 [with my PhD advisor Harold Baranger].
Unraveling superradiance and the underlying structure of correlations revealed by mutual information. See our work arXiv:2505.13401.
--- Phase Space Methods for Many-Body Systems
Ongoing project, stay tuned for our interesting results soon [with my postdoc advisor Peter Rabl].
--- Markovian Embedding of Time-Delayed Feedback
By using the linear chain trick to delayed differential equations, I found a way to do similar procedure for the time-delayed quantum Langevin equation. The resulting enlarged system is a Markovian open quantum system, which is then tackled efficiently using many-body methods like MPS. (See my work in arXiv:2204.02367)
--- Matrix Product State
-- MPS simulation of open quantum systems. One work is on positive MPS algorithm for Lindbladian dynamics [with Yikang Zhang and Thomas Barthel, unpublished yet].
-- Numerical study of quantum transport using DMRG and time-dependent DMRG [with Harold Baranger and Thomas Barthel, unpublised yet].
--- Waveguide Quantum Electrodynamics (QED)
Waveguide QED studies interactions between qubits and photons in a one-dimensional (1d) waveguide. Strong light-matter interactions and strong interference between photons confined in 1d lead to interesting behaviors of both photons and qubits.
See our work Phys. Rev. A 97, 023813 (2018) and Phys. Rev. Lett. 122, 140502 (2019) [with my PhD advisor Harold Baranger].
--- Quantum Trajectories and Quantum Measurement
The quantum trajectory theory can be treated as a method to unravel equations of mixed states (e.g. master equations) such that the time evolution can be described with an ensemble of pure states (trajectories). With an appropriate unraveling, it can describe the results of quantum measurements.
See our work Phys. Rev. Lett. 122, 140502 (2019) [with my PhD advisor Harold Baranger].
--- Machine Learning and Quantum Physics
We use "machine learning" techniques (with necessary m̶a̶c̶h̶i̶n̶e̶ human learning and a̶r̶t̶i̶f̶i̶c̶a̶l̶ human intelligence 😄) to solve quantum many-body problems. We are interested in regimes that are not accessible with other methods and interesting physics there.
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