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PreprintCC BY 4.0arXiv

Thermal screening and critical scaling of quantum energy teleportation in a harmonic chain

  • Taisanul Haque
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Abstract

We develop a finite-temperature Gaussian-state formulation of quantum energy teleportation in the one-dimensional harmonic chain. For Gibbs states, the optimized measurement-feedback protocol reduces to thermal two-point functions. In the single-site protocol, the extracted energy is governed by a single correlator, which makes the thermodynamic and near-critical limits analytically tractable. At fixed finite temperature, the extracted energy is exponentially screened with distance and is controlled by a thermal correlation length for both critical and non-critical α. In the zero-temperature critical limit taken after the thermodynamic limit, we derive the exact asymptotic law Eext∼ d−4. Numerical results confirm both regimes and resolve the crossover responsible for the apparent drift of the effective decay exponent at intermediate distances. We also analyze squeezed Gaussian measurements and show that they modify the extraction prefactor: p−squeezing enhances the extracted energy, whereas q−squeezing suppresses it, without changing the large-distance scaling.

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Cite

BibTeXRIS
BibTeX
@misc{haque2026thermal,
  title = {{Thermal screening and critical scaling of quantum energy teleportation in a harmonic chain}},
  author = {Taisanul Haque},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.00928},
  eprint = {2609.00928},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00928},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Thermal screening and critical scaling of quantum energy teleportation in a harmonic chain
AU  - Taisanul Haque
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.00928
UR  - https://arxiv.org/abs/2609.00928
AB  - We develop a finite-temperature Gaussian-state formulation of quantum energy teleportation in the one-dimensional harmonic chain. For Gibbs states, the optimized measurement-feedback protocol reduces to thermal two-point functions. In the single-site protocol, the extracted energy is governed by a single correlator, which makes the thermodynamic and near-critical limits analytically tractable. At fixed finite temperature, the extracted energy is exponentially screened with distance and is controlled by a thermal correlation length for both critical and non-critical α. In the zero-temperature critical limit taken after the thermodynamic limit, we derive the exact asymptotic law E_ext∼ d^−4. Numerical results confirm both regimes and resolve the crossover responsible for the apparent drift of the effective decay exponent at intermediate distances. We also analyze squeezed Gaussian measurements and show that they modify the extraction prefactor: p−squeezing enhances the extracted energy, whereas q−squeezing suppresses it, without changing the large-distance scaling.
ER  -