Griffiths singularity in disordered systems by a quench dynamics

2017 Fiscal Year Final Research Report

• Project/Area Number: 26400402
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Saitama Medical University
• Principal Investigator: Suzuki Sei 埼玉医科大学, 医学部, 講師 (30391999)
• Research Collaborator: MORITA Satoshi ; OBUCHI Tomoyuki ; TAKAHASHI Kazutaka ; DAS Arnab ; DUTTA Amit ; SHARMA Shraddha ; NAG Tanay
• Project Period (FY): 2014-04-01 – 2018-03-31
• Keywords: ランダム系 / 相転移 / 量子相転移 / スケーリング / クエンチダイナミクス / キッブル・ズーレック機構 / 動的量子相転移

Outline of Final Research Achievements

By the present project, we successfully determined the exact location of the ferromagnetic-paramagnetic transition at the zero temperature in the disordered honeycomb lattice Ising model with the controllable disorder strength. We next obtained some universal scaling relations that physical quantities follow in the quench dynamics induced by quenching a parameter slowly near a quantum phase transition, which is a phase transition occurring at zero temperature in the presence of a quantum fluctuation. We also discovered singularities, called as dynamical quantum phase transitions, appearing in the time evolution of the so-called Loschmidt overlap after a sudden change of a parameter in a few non-integrable systems.

Free Research Field

統計物理、物性理論