（重複して受取られた場合はご容赦ください）
東大物性研の高橋惇です。
理研桑原研ポスドクのDonghoon Kimさんによる、ボゾン系等のエンタングルメント面積則を厳密に示した結果に関するセミナーを来週の金曜日に行います。
ご興味のある方は、現地もしくは以下のzoomリンクからぜひご参加ください。
高橋
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Date: May 30 (Friday), 2025 16:00-
Place: Seminar Room 5 (A615), 6th Floor, ISSP + zoom (URL below)
Speaker: Dr. Donghoon Kim
Affiliation: RIKEN
Title: Entanglement area law in interacting bosons: from Bose-Hubbard, φ^4,
and beyond
Abstract：
The entanglement area law is a fundamental principle that shapes
the informational structure of quantum many-body systems and is
critical for algorithms based on tensor networks. Traditionally, this
law has been established under two key assumptions: the system
must have bounded local energy and exhibit short-range
interactions. However, extending the area law to scenarios with
unbounded local energy and long-range interactions remains a
significant challenge, particularly in bosonic systems where these
standard assumptions do not hold. In this work, we affirm the validity
of the entanglement area law across a broad class of one-
dimensional interacting bosonic systems, including models such as
the Bose-Hubbard and φ^4 models, as well as systems with long-
range interactions. Our approach overcomes the limitations of
conventional assumptions by showing subexponential decay in the
boson number distribution due to repulsive interactions.
Consequently, we establish that it is possible to approximate ground
states using Matrix Product States (MPS) with quasipolynomial bond
dimensions. These findings provide crucial insights for simulating
bosonic systems with long-range interactions and advancing
quantum simulation methodologies.
zoom URL:
u-tokyo-ac-jp.zoom.us/j/81799015922?pwd=J9pYgCevcIeIV566LOTO3gFGCBz6xj.1
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