Kramers' degeneracy for open systems in thermal equilibrium
- URL: http://arxiv.org/abs/2105.02888v2
- Date: Thu, 10 Mar 2022 19:30:14 GMT
- Title: Kramers' degeneracy for open systems in thermal equilibrium
- Authors: Simon Lieu, Max McGinley, Oles Shtanko, Nigel R. Cooper, Alexey V.
Gorshkov
- Abstract summary: Kramers' degeneracy theorem underpins many interesting effects in quantum systems with time-reversal symmetry.
We show that the generator of dynamics for Markovian open fermionic systems can exhibit an analogous degeneracy, protected by a combination of time-reversal symmetry and the microreversibility property of systems at thermal equilibrium.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Kramers' degeneracy theorem underpins many interesting effects in quantum
systems with time-reversal symmetry. We show that the generator of dynamics for
Markovian open fermionic systems can exhibit an analogous degeneracy, protected
by a combination of time-reversal symmetry and the microreversibility (detailed
balance) property of systems at thermal equilibrium -- the degeneracy is lifted
if either condition is not met. We provide simple examples of this phenomenon
and show that the degeneracy is reflected in the single-particle Green's
functions. Furthermore, we show that certain experimental signatures of
topological edge modes in open many-body systems can be protected by
microreversibility in the same way. Our results highlight the importance of
detailed balance in characterizing open topological matter.
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