Quantum walk in stochastic environment

• URL: http://arxiv.org/abs/2308.08419v1
• Date: Wed, 16 Aug 2023 15:06:39 GMT
• Title: Quantum walk in stochastic environment
• Authors: Ben Avnit, Doron Cohen
• Abstract summary: We consider a quantized version of the Sinai-Derrida model for "random walk in random environment" We analyze in detail this enhancement and its dependence on the model parameters.
• Score: 4.51060985591184
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider a quantized version of the Sinai-Derrida model for "random walk in random environment". The model is defined in terms of a Lindblad master equation. For a ring geometry (a chain with periodic boundary condition) it features a delocalization-transition as the bias in increased beyond a critical value, indicating that the relaxation becomes under-damped. Counter intuitively, the effective disorder is enhanced due to coherent hopping. We analyze in detail this enhancement and its dependence on the model parameters. The non-monotonic dependence of the Lindbladian spectrum on the rate of the coherent transitions is highlighted.

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