Dear All,
Next Monday’s statphys seminar will be given by Dr. Naoto Shiraishi from Gakushuin University.
The announcement is also listed here.
sites.google.com/view/statphys-seminar <sites.google.com/view/statphys-seminar>
For those who wish to attend, e-mail me at
hatano@iis.u-tokyo.ac.jp <mailto:hatano@iis.u-tokyo.ac.jp>
for the zoom link.
Naomichi Hatano
皆様
１１月２２日に午後１時から以下の通り統計力学セミナーを行います。
講演者は学習院大学の白石直人さんです。講演の概要は
sites.google.com/view/statphys-seminar <sites.google.com/view/statphys-seminar>
でもご覧になれます。皆様お誘い合わせの上、是非ともご参加下さい。
参加ご希望の方は羽田野
hatano@iis.u-tokyo.ac.jp <mailto:hatano@iis.u-tokyo.ac.jp>
までご連絡頂ければ、折り返しzoomリンクをお送り致します。
羽田野
2021年11月22日（月）13:00~14:00（第13回）(13th: 1pm-2pm, Nov. 22, 2021)
Speaker: Dr. Naoto Shiraishi (Gakushuin University)
Title: Undecidability in quantum thermalization
Abstract:
A quantum many-body system at a nonequilibrium initial state will relax to the unique equilibrium state, which is called thermalization. Almost all physical quantum many-body systems are considered to show thermalization. On the other hand, some quantum many-body systems including integrable systems do not thermalize. One of the central problems in quantum thermalization is to find the conditions determining whether thermalization occurs in a given system. Despite vast literature in this field, this problem has still been left as an open problem.
We tackle this problem with a completely different approach from previous ones. Applying the viewpoint of theoretical computer science, we clarify the hardness of the problem of quantum thermalization. Surprisingly, we find that this problem is undecidable [1]. Our result is still valid even when the system is one-dimensional, Hamiltonian is shift-invariant and nearest-neighbor interaction, the initial state is a product state, and the observable is a shift-sum of a one-body observable.
References:
[1] N. Shiraishi and K. Matsumoto, Nat. Comm. 12, 5084 (2021) <www.google.com/url?q=https%3A%2F%2Fdoi.org%2F10.1038%2Fs41467-021-25053-0&sa=D&sntz=1&usg=AFQjCNElx2d6Amm_UUdfzsS_vshNgWbnZQ>
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