24-30 July 2016
Highfield Campus, University of Southampton
Europe/London timezone

Tensor RG calculations and quantum simulations near criticality

26 Jul 2016, 15:40
20m
Building 67 Room 1003 (Highfield Campus, University of Southampton)

Building 67 Room 1003

Highfield Campus, University of Southampton

Talk Theoretical Developments Theoretical Developments

Speaker

Prof. Yannick Meurice (University of Iowa)

Description

We reformulate the Ising model, the O(2) model with a chemical potential and the Abelian Higgs model on a 1+1 space-time lattice using the Tensor Renormalization Group (TRG) method. The reformulation allows exact blocking and connects smoothly the classical Lagrangian approach to the quantum Hamiltonian approach. We discuss the linearization of the TRG for the Ising model near the critical point. We calculate the entanglement entropy in the superfluid phase of the O(2) model and show that it obeys the Cardy scaling (c/3)*Ln(L). We calculate the Polyakov loop in the Abelian Higgs model and discuss the possibility of a deconfinement transition at finite volume. We propose Bose-Hubbard Hamiltonians with two species implementable on optical lattices as quantum simulators.

Primary author

Prof. Yannick Meurice (University of Iowa)

Co-authors

Dr Alexei Bazavov (UCR/UIowa/UIndiana) Mr Jin Zhang (UC Riverside) Mr Judah Unmuth-Yockey (University of Iowa) Prof. Li-Ping Yang (Chongqing University) Prof. Shan-Wen Tsai (UC Riverside)

Presentation Materials