Bulletin of the American Physical Society
52nd Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Volume 66, Number 6
Monday–Friday, May 31–June 4 2021; Virtual; Time Zone: Central Daylight Time, USA
Session K05: Degenerate Fermi Gases and Many-Body Physics
10:30 AM–12:30 PM,
Wednesday, June 2, 2021
Chair: Waseem Bakr, Princeton
Abstract: K05.00008 : Topological invariant for gaussian mixed states of fermion systems with time-reversal symmetry
11:54 AM–12:06 PM
Live
Presenter:
Lukas Wawer
(Technical University of Kaiserslautern)
Authors:
Lukas Wawer
(Technical University of Kaiserslautern)
Michael Fleischhauer
(Technical University of Kaiserslautern)
$\hat H_\textrm{fict}$.
If the ficticious Hamiltonian breaks time-reversal (TR) symmetry, a topological invariant can be constructed based on the ensemble geometric phase or mixed-state many-body polarization \cite{PRX}, which
is identical to the Chern number of the ground state of $\hat H_\textrm{fict}$. For a TR
invariant ficticious Hamiltonian this invariant vanishes. We here introduce a generalization of the time-reversal polarization to mixed states of fermions and show that
it defines a $Z_2$ topological invariant. Specifically we discuss the one-dimensional Fu-Kane model at finite temperature to illustrate the invariant.
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