IISER Pune
INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH (IISER) PUNE
where tomorrow’s science begins today
An Autonomous Institution, Ministry of Human Resource Development, Govt. of India
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Seminars and Colloquia

Physics

Quantum geometry of many-electron states 
 
Mon, Mar 19, 2018,   04:20 PM at Physics Seminar Room 31, 2nd Floor, Main Building

Prof. R. Shankar
IMSc., Chennai

Abstract : 
The inner product is central to the physical interpretation of quantum
mechanics. It also induces a geometry in the space of physical states of a
quantum system. In the past few decades, these ideas have been applied to
characterize the phases of quantum condensed matter.

I will first review the concept of distances and geometric phases in quantum
systems, how it is applied to the system of electrons in a periodic potential
and it's physical manifestations therein. I will then show how it leads to
a nice visualisation of mean field states as surfaces in finite dimensional
spaces. Finally, I will discuss some of the issues involved in generalising 
these ideas to correlated states.
 
 

 

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