Mathematical developments related to the quantum Rabi model

29 January 2019

This one-day workshop is focussed on recent and ongoing mathematical developments related to the quantum Rabi model. The quantum Rabi model describes the fundamental interaction between a two-level atom (a qubit) and a light field. As such it is of central importance to the physics of quantum devices.

The quantum Rabi model and its various generalisations pose a number of interesting mathematical challenges which this workshop aims to highlight and address.



Time Session
Mathematical problems around quantum Rabi model
Masato Wakayama, Institute of Mathematics for Industry, Kyushu University
Irregular singularities and the Bargmann condition
Daniel Braak, Department of Solid State Quantum Electronics, Max Planck Institute for Solid State Research, Stuttgart
tea/coffee break
Quasi-exact solvability, the asymmetric quantum Rabi model and generalised Po ̈schl-Teller potentials
Clare Dunning, School of Mathematics, Statistics & Actuarial Science, University of Kent
On the number of exceptional solutions of the asymmetric quantum Rabi model
Cid Reyes-Bustos, Graduate School of Mathematics, Kyushu University
Numerical study on the spacing distribution of quantum Rabi model and asymmetric quantum Rabi model
Linh Thi Hoai Nguyen, Institute of Mathematics for Industry, Kyushu University
tea/coffee break
Spectral statistics of the quantum Rabi model: numerical and analytical approaches
Murray Batchelor, Mathematical Sciences Institute, Australian National University

Seminar Room 1.33, Building #145, Science Road, The Australian National University


About Canberra

Canberra is located in the Australian Capital Territory, on the ancient lands of the Ngunnawal people, who have lived here for over 20,000 years. Canberra’s name is thought to mean ‘meeting place’, derived from the Aboriginal word Kamberra. European settlers arrived in the 1830s, and the area won selection by ballot for the federal capital in 1908. Since then the ‘Bush Capital’ has grown to become the proud home of the Australian story, with a growing population of around 390,000.

Canberra hosts a wide range of tourist attractions, including various national museums, galleries and Parliament House, as well as beautiful parks and walking trails. Several attractions are within walking distance of the ANU campus, including the National Museum of Australia and the Australian National Botanic Gardens. Canberra is also a fantastic base from which to explore the many treasures of the surrounding region, including historic townships, beautiful coastlines and the famous Snowy Mountains. Learn more about what to do and see during your stay in Canberra here.


Below are some accommodation options for your visit to Canberra. 


International visitors to Australia require a visa or an electronic travel authority (ETA) prior to arrival. It is your responsibility to ensure documentation is correct and complete before you commence your journey. Information on obtaining visas and ETAs can be found here.


There are many ways to get around Canberra. Below is some useful information about Bus & Taxi transport around the ANU, the Airport and surrounding areas.


If you are catching a taxi or Uber to the ANU Mathematical Sciences Institute, ask to be taken to Building #145, Science Road, ANU. We are located close to the Ian Ross Building and the ANU gym. A Taxi will generally cost around $40 and will take roughly 15 minutes. Pricing and time may vary depending on traffic.

Taxi bookings can be made through Canberra Elite Taxis - 13 22 27.

Airport Shuttle

the ACT government has implemented a public bus service from the CBD to the Canberra Airport via bus Route 11 and 11A, seven days a week. Services run approximately every half hour, and better during peak times (weekdays) and every hour (weekends).

To travel just use your MyWay card or pay a cash fare to the driver when boarding. A single adult trip when paying cash will cost $4.80 with cheaper fares for students and children. Significant savings can be made when travelling with MyWay.

View MyWay and Fares information.

For more information about the buses to Canberra airport.

Action Buses

Canberra buses are a cheap and easy way of getting around town once you're here.

For more information about bus services and fares.

Murray Batchelor