Quantum Reciprocity: A Structured-Bath Hamiltonian for Coherent Amplification

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1. Verfasser: Sakidja, Ridwan
Format: Preprint
Veröffentlicht: 2025
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author Sakidja, Ridwan
author_facet Sakidja, Ridwan
contents Macroscopic quantum amplifiers maintain coherence even while strongly coupled to their surroundings, demonstrating that coherence can be preserved through architecture rather than isolation. Here we derive a finite structured-bath Hamiltonian in which dissipation and feedback originate from the same microscopic couplings. The resulting self-energy Σ(ω) exhibits coupled real and imaginary parts whose evolution reproduces the breathing dynamics observed in Josephson quantum amplifiers. This establishes quantum reciprocity: macroscopic coherence lives not in isolation, but in structured connection. We numerically validate this principle by engineering a six-qubit structured bath to demonstrate controllable transitions from dissipation to amplification. This architectural core serves as the foundation for a proposed multi-scale workflow to transform quantum noise into a design resource, preserving coherence not through isolation but through architectural reciprocity.
format Preprint
id arxiv_https___arxiv_org_abs_2510_17572
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum Reciprocity: A Structured-Bath Hamiltonian for Coherent Amplification
Sakidja, Ridwan
Quantum Physics
Macroscopic quantum amplifiers maintain coherence even while strongly coupled to their surroundings, demonstrating that coherence can be preserved through architecture rather than isolation. Here we derive a finite structured-bath Hamiltonian in which dissipation and feedback originate from the same microscopic couplings. The resulting self-energy Σ(ω) exhibits coupled real and imaginary parts whose evolution reproduces the breathing dynamics observed in Josephson quantum amplifiers. This establishes quantum reciprocity: macroscopic coherence lives not in isolation, but in structured connection. We numerically validate this principle by engineering a six-qubit structured bath to demonstrate controllable transitions from dissipation to amplification. This architectural core serves as the foundation for a proposed multi-scale workflow to transform quantum noise into a design resource, preserving coherence not through isolation but through architectural reciprocity.
title Quantum Reciprocity: A Structured-Bath Hamiltonian for Coherent Amplification
topic Quantum Physics
url https://arxiv.org/abs/2510.17572