Detecting quantumness with generalized Loschmidt echoes

• URL: http://arxiv.org/abs/2608.06562v1
• Date: Thu, 06 Aug 2026 20:16:57 GMT
• Title: Detecting quantumness with generalized Loschmidt echoes
• Abstract summary: We present a straightforward generalization that identifies non-classical dynamical behavior.<n>In intrinsic non-commuting quantum features are analyzed in critical dynamics of a spin chain.<n>Interestingly, this phenomenon is also observed for Gaussian dynamics and high temperature limits which are generally regarded as classical.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Loschmidt echoes are a well-established method to characterize dynamical properties such as quantum chaos and sensitivity to perturbations. Here we present a straightforward generalization that identifies non-classical dynamical behavior. The generalized echoes involve four forward-backward time propagators. If these propagators do not commute, one can readily identify signatures of this property in the relations between echoes. As an example, detection of intrinsic non-commuting quantum features is analyzed in critical dynamics of a spin chain. Interestingly, this phenomenon is also observed for Gaussian dynamics and high temperature limits which are generally regarded as classical.

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