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Studies of the Loschmidt Echo in Two Dimensional Coupled Arrays of Quantum Ising Chains and Luttinger Liquids

Presented by: 
Robert Konik Brookhaven National Laboratory
Thursday 14th January 2016 - 14:00 to 15:00
INI Seminar Room 1
Co-authors: Andrew James (LCN), Andrew Hallam (LCN)

We describe a method for simulating the real time evolution of extended quantum systems in two dimensions. The method combines the benefits of integrability and matrix product states in one dimension. In particular it can be extended to systems whose geometry is that of an infinitely long cylinder. As example applications we present results for quantum quenches in both arrays of coupled quantum Ising chains and coupled Luttinger liquids. In quenches that cross a phase boundary we find that the return probability shows non-analyticities in time.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons