Volume 97

iTHEMS Weekly News Letter

Hot Topic

Coffee Meeting with zoom streaming on March 27, 2020

2020-04-01

On March 27 (the last Friday in FY2019), the first zoom coffee meeting in iTHEMS was held. Many iTHEMS colleagues have connected virtually to the iTHEMS common room. Takemasa Miyoshi gave a 15 min. talk on SIR model of epidemics followed by 1 min. farewell speeches by the people who graduated iTHEMS and/or QHP lab. at the end of FY2019. From FY2020, all the iTHEMS coffee meetings and colloquiums will be held only through zoom for a while to suppress the physical interactions among researchers and at the same time to increase their virtual interactions.

Upcoming Event

Colloquium

iTHEMS Colloquium

Interaction Models in Quantum Optics, Representation Theory and Number Theory

April 10 (Fri) at 15:30 - 17:00, 2020

Masato Wakayama (Senior Advisor, iTHEMS / Vice President, Tokyo University of Science)

Recently, interaction models originated in quantum optics, with the quantum Rabi model (QRM) as a distinguished representative, are appearing ubiquitously in various quantum systems including cavity and circuit quantum electrodynamics, quantum dots and artificial atoms, with potential applications to quantum information technologies such as quantum computing. Together with the integrability of QRM, demonstrated by Daniel Braak in 2011, this has led to wide discussion and development of various aspect of the QRM and its generalizations from the point of view of theoretical physics and mathematics.

In this talk, firstly, we characterize the structure of the spectra of QRM and its asymmetric version via sℓ2-representations. Secondly, we introduce the non-commutative harmonic oscillator, which may be considered to be a “cover” of the QRM in the Heun ODE picture, and describe certain number theoretical aspects arising from its spectral zeta function. Further, we discuss the heat kernel and partition function of the QRM toward the number theoretical investigation of the model. In addition, a number of related open problems will be presented.

Venue: via Zoom

Event Official Language: English

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