Continuous Time Limit of the DTQW and Plasticity

Note: Meeting ID: 922 3854 5183
Speaker: Michael Bahram Manighalam , Boston University, Physics Department

When: July 30, 2020 (Thu), 04:00PM to 05:00PM (add to my calendar)

This event is part of the Departmental Seminars.

A Plastic Quantum Walk admits both continuous time and continuous spacetime. This model has been recently proposed, leading to a general quantum simulation scheme for simulating fermions in the relativistic and non relativistic regimes. The extension to two physical dimensions is still missing, and in this seminar I will present necessary and sufficient conditions concerning which discrete time quantum walks can admit plasticity, showing the resulting Hamiltonians. I will consider coin operators as general 4 parameter unitary matrices, with parameters which are function of the lattice step size ε. This dependence on ε encapsulates all functions of ε for which a Taylor series expansion in ε is well defined, making our results very general.

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Meeting ID: 922 3854 5183 Password: 913022