Berlin 2018 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 40: Dual-Method Approaches to Quantum Many-Body Systems II
TT 40.10: Vortrag
Dienstag, 13. März 2018, 12:30–12:45, H 3010
Finding purifications with minimal entanglement — •Johannes Hauschild1, Eyal Leviatan2, Jens H. Bardarson3, Ehud Altman4, Michael P. Zaletel5, and Frank Pollmann1 — 1Department of Physics, T42, Technische Universität München, James-Franck-Straße 1, D-85748 Garching, Germany — 2Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 7610001, Israel — 3Department of Physics, KTH Royal Institute of Technology, Stockholm SE-10691, Sweden — 4Department of Physics, University of California, Berkeley, CA 94720 — 5Department of Physics, Princeton University, Princeton, NJ 08540, USA
Purification is a tool that allows to represent mixed quantum states as pure states on enlarged Hilbert spaces.
A purification of a given state is not unique and its entanglement strongly depends on the particular choice made.
Moreover, in one-dimensional systems, the amount of entanglement is linked to how efficiently the purified state can be represented using matrix-product states (MPS).
We introduce an MPS based method that allows to find the minimally entangled representation by iteratively minimizing the second Rényi entropy [1].
First, we consider the thermofield double purification and show that its entanglement can be strongly reduced especially at low temperatures.
Second, we show that a slowdown of the entanglement growth following a quench of an infinite temperature state is possible.
J. Hauschild et al., arXiv:1711.01288