Dissipation induced Liouville-Majorana modes in open quantum system
- URL: http://arxiv.org/abs/2305.08311v1
- Date: Mon, 15 May 2023 02:38:57 GMT
- Title: Dissipation induced Liouville-Majorana modes in open quantum system
- Authors: Xing-Shuo Xu, Xiang-Fa Zhou, Guang-Can Guo, and Zheng-Wei Zhou
- Abstract summary: In open systems, topological edge states quickly lose coherence and cannot be used in topological quantum computation and quantum memory.
Here we show that for dissipative quantum spin (or fermionic) systems, topologically non-Hermitian Liouville-Majorana edge modes (LMEMs) can survive in the extended Liouville-Fock space.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In open systems, topological edge states quickly lose coherence and cannot be
used in topological quantum computation and quantum memory. Here we show that
for dissipative quantum spin (or fermionic) systems, topologically
non-Hermitian Liouville-Majorana edge modes (LMEMs) can survive in the extended
Liouville-Fock space, which is beyond the scope of topological modes defined in
usual Hermitian system. By vectorizing the Lindblad equation of the system
using the third quantization, we prove that it reduces to a series of
non-Hermitian Kitaev chains in the extended Liouville-Fock space, and
topologically LMEMs are protected due to its internal symmetry. Furthermore, we
provide an explicit method for detecting these modes and prove that the purity
of the density matrix characterizes the long-range correlation of LMEMs. The
work opens new avenues of searching for novel stable topological states in open
systems induced by quantum jumps.
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