Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
- URL: http://arxiv.org/abs/2304.12201v2
- Date: Mon, 29 May 2023 02:26:26 GMT
- Title: Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
- Authors: Liang-Liang Wan, Xin-You L\"u
- Abstract summary: We theoretically predict the squeezing-induced point-gap topology together with a it symmetry-protected $mathbbZ$ skin effect in a 1D quadratic-bosonic system.
Our work is fundamental interest in enriching non-Bloch topological physics by introducing quantum squeezing, and has potential applications for the engineering of symmetry-protected sensors.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We theoretically predict the squeezing-induced point-gap topology together
with a {\it symmetry-protected $\mathbb{Z}_2$ skin effect} in a one-dimensional
(1D) quadratic-bosonic system (QBS). Protected by a time-reversal symmetry,
such a topology is associated with a novel $\mathbb{Z}_2$ invariant (similar to
quantum spin-Hall insulators), which is fully capable of characterizing the
occurrence of $\mathbb{Z}_2$ skin effect. Focusing on zero energy, the
parameter regime of this skin effect in the phase diagram just corresponds to a
{\it real-gap and point-gap coexisted topological phase}. Moreover, this phase
associated with the {\it symmetry-protected $\mathbb{Z}_2$ skin effect} is
experimentally observable by detecting the steady-state power spectral density.
Our work is of fundamental interest in enriching non-Bloch topological physics
by introducing quantum squeezing, and has potential applications for the
engineering of symmetry-protected sensors based on the $\mathbb{Z}_2$ skin
effect.
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