Our research tries to answer a fundamental set of questions in context of condensed-matter, quantum many-body, and quantum information theory. A non-exhaustive list of motivations might include:

- Are there undiscovered, interesting and (potentially) useful new states of matter to be found in nature?
- What are the microscopic mechanisms behind the variety of exotic phenomena observed in strongly-correlated matter?
- Does undiscovered and novel universal behavior exist at certain phase transitions?
- Can quantum systems, and all of their hosts of intriguing phenomena, be studied with classical computers?

Computational methods, and in particular Quantum Monte Carlo (QMC) techniques, are an important tool in statistical physics and are essential for advancing studies in almost all quantum condensed matter research. In systems with a large number of accessible states, the integrals associated with various expectation values become too complicated to calculate exactly, but Monte Carlo methods allow us to calculate these values numerically using statistical sampling. Our group works on developing algorithms that use various QMC techniques, such as Anders Sandvik's Stochastic Series Expansion (SSE) methods. We have used these types of algorithms to study quantum many-body systems, and we have also applied these Monte Carlo simulations to studies of entropy and phase transitions in classical systems.

The 'K' Computer in Kobe, Japan