Shortcuts in Real and Imaginary Time


Hsieh, T. (2019). Shortcuts in Real and Imaginary Time. Perimeter Institute. https://pirsa.org/19040114


Hsieh, Timothy. Shortcuts in Real and Imaginary Time. Perimeter Institute, Apr. 25, 2019, https://pirsa.org/19040114


          @misc{ pirsa_PIRSA:19040114,
            doi = {10.48660/19040114},
            url = {https://pirsa.org/19040114},
            author = {Hsieh, Timothy},
            keywords = {Condensed Matter},
            language = {en},
            title = {Shortcuts in Real and Imaginary Time},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {apr},
            note = {PIRSA:19040114 see, \url{https://pirsa.org}}

Timothy Hsieh Perimeter Institute for Theoretical Physics


In the first half, I will demonstrate an efficient and general approach for realizing non-trivial quantum states, such as quantum critical and topologically ordered states, in quantum simulators. In the second half, I will present a related variational ansatz for many-body quantum systems that is remarkably efficient. In particular, representing the critical point of the one-dimensional transverse field Ising model only requires a number of variational parameters scaling logarithmically with system size. Though optimizing the ansatz generally requires Monte Carlo sampling, our ansatz potentially enables a partial mitigation of the sign problem at the expense of having to optimize a few parameters.