Events Calendar
Efficient Simulation of Quantum Transport in 1D
Thursday December 1, 2022
| 9:00 am
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Presenter: | Frank Pollmann (TMU Munich) |
|---|---|---|
| Series: | CQuIC Seminars | |
| Abstract: | Tensor product states are powerful tools for simulating area-law entangled states of many-body systems. The applicability of such methods to the non-equilibrium dynamics of many-body systems is less clear due to the presence of large amounts of entanglement. New methods seek to reduce the numerical cost by selectively discarding those parts of the many-body wavefunction, which are thought to have relatively little effect on dynamical quantities of interest. We present a theory for the sizes of "backflow corrections", i.e., systematic errors due to these truncation effects and introduce the dissipation-assisted operator evolution (DAOE) method for calculating transport properties of strongly interacting lattice systems in the high temperature regime. In the DAOE method, we represent the observable as a matrix product operator, and show that the dissipation leads to a decay of operator entanglement, allowing us to capture the dynamics to long times. We benchmark this scheme by calculating spin and energy diffusion constants in a variety of physical models and compare to other existing methods. | |
| Host: | Ivan Deutsch | |
| Location: | Zoom | |
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