Title : |
Probing quantum phase transition with spread complexity |
|
Speaker | : | Kunal Pal , Indian Institute of Technology, Kanpur |
Date | : | December 13, 2022 |
Time | : | 2:30 PM |
Venue | : | seminar room 3307 |
Abstract | : |
The notion of Krylov complexity is an effective measure of operator growth, that quantifies the evolution of a simple operator under a given Hamiltonian. In this talk, I will discuss how the Krylov basis construction generated by the Hamiltonian can be used to describe the spread complexity of preparing a target state starting from a given reference state. Then I will discuss the geometric approach of extracting the Lanczos coefficients under a quantum quench, which are essential for calculating the complexity. Finally, I will explain our recent work on using the spread complexity as an efficient marker of ground state quantum phase transition. |