dorsal/arxiv
View SchemaFinite-Memory Extension of Tegmark's Decoherence Bound in Biological Media
| Authors | Ramandeep Dewan |
|---|---|
| Categories | |
| ArXiv ID | 2601.07689vv2 |
| URL | https://arxiv.org/abs/2601.07689 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
Tegmark's decoherence bound is derived under the assumption of a strictly memoryless environment. We show that this result corresponds to the singular limit of a finite-memory theory. For exponentially correlated environments decoherence is generically quadratic at short times and the decoherence time scales as the square root of the bath correlation time. For the Ornstein-Uhlenbeck bath we derive the exact non-Markovian coherence equation and verify the predicted scaling using an exact pseudomode mapping. Tegmark's bound is recovered only in the vanishing-memory limit.
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"abstract": "Tegmark\u0027s decoherence bound is derived under the assumption of a strictly memoryless environment. We show that this result corresponds to the singular limit of a finite-memory theory. For exponentially correlated environments decoherence is generically quadratic at short times and the decoherence time scales as the square root of the bath correlation time. For the Ornstein-Uhlenbeck bath we derive the exact non-Markovian coherence equation and verify the predicted scaling using an exact pseudomode mapping. Tegmark\u0027s bound is recovered only in the vanishing-memory limit.",
"arxiv_id": "2601.07689",
"authors": [
"Ramandeep Dewan"
],
"categories": [
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"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Finite-Memory Extension of Tegmark\u0027s Decoherence Bound in Biological Media",
"url": "https://arxiv.org/abs/2601.07689",
"version": "v2"
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