Theory of Metastability in Discrete-Time Open Quantum Dynamics

• URL: http://arxiv.org/abs/2401.00157v2
• Date: Thu, 4 Jan 2024 05:21:00 GMT
• Title: Theory of Metastability in Discrete-Time Open Quantum Dynamics
• Authors: Yuan-De Jin and Chu-Dan Qiu and Wen-Long Ma
• Abstract summary: Metastability in open system dynamics describes the phenomena of initial relaxation to longlived metastable states before decaying to stable states. We focus on a general class of quantum channels on a target system, induced by an ancilla system with a puredephasing coupling to the target system and under Ramsey sequences. Interesting metastable behaviors are predicted and numerically demonstrated by decomposing the average dynamics into trajectories.
• Score: 0.22099217573031676
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Metastability in open system dynamics describes the phenomena of initial relaxation to longlived metastable states before decaying to the asymptotic stable states. It has been predicted in continuous-time stochastic dynamics of both classical and quantum systems. Here we present a general theory of metastability in discrete-time open quantum dynamics, described by sequential quantum channels. We focus on a general class of quantum channels on a target system, induced by an ancilla system with a pure-dephasing coupling to the target system and under Ramsey sequences. Interesting metastable behaviors are predicted and numerically demonstrated by decomposing the average dynamics into stochastic trajectories. Examples and applications are also discussed.

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