Symmetry Protected Topological Order In Open Quantum Systems

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Caroline de Groot^1,2, Alex Turzillo^1,2, és Schuch Norbert^1,2,3,4

¹Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Németország
²Müncheni Kvantumtudományi és Technológiai Központ, Schellingstraße 4, 80799 München, Németország
³Bécsi Egyetem, Matematikai Kar, Oskar-Morgenstern-Platz 1, 1090 Wien, Ausztria
⁴Bécsi Egyetem, Fizikai Kar, Boltzmanngasse 5, 1090 Wien, Ausztria

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Absztrakt

We systematically investigate the robustness of symmetry protected topological (SPT) order in open quantum systems by studying the evolution of string order parameters and other probes under noisy channels. We find that one-dimensional SPT order is robust against noisy couplings to the environment that satisfy a strong symmetry condition, while it is destabilized by noise that satisfies only a weak symmetry condition, which generalizes the notion of symmetry for closed systems. We also discuss “transmutation” of SPT phases into other SPT phases of equal or lesser complexity, under noisy channels that satisfy twisted versions of the strong symmetry condition.

► BibTeX adatok

@article{deGroot2022symmetryprotected, doi = {10.22331/q-2022-11-10-856}, url = {https://doi.org/10.22331/q-2022-11-10-856}, title = {Symmetry {P}rotected {T}opological {O}rder in {O}pen {Q}uantum {S}ystems}, author = {de Groot, Caroline and Turzillo, Alex and Schuch, Norbert}, journal = {{Quantum}}, issn = {2521-327X}, publisher = {{Verein zur F{“{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}}, volume = {6}, pages = {856}, month = nov, year = {2022} }

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