Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 52 min ago
PreprintCC BY 4.0arXiv

Finite-temperature spectral functions of lattice polarons with process tensors

  • Qi Gao
  • Yuan Wan
Open at sourcePDFDOICite

Abstract

We develop a process tensor approach for calculating the finite-temperature spectral functions of lattice polarons. We show that the finite-temperature phonon influence functional can be expressed as the elementwise exponential of a low-rank matrix product state, enabling an efficient summation of electron worldlines. An embedding construction embeds worldlines of different propagation times into a single matrix product state. This construction yields the propagator over the full simulated time interval in a single calculation. We benchmark this approach against available finite-temperature density-matrix renormalization group results for the one-dimensional Holstein polaron. We further obtain numerically converged spectra for the two-dimensional Holstein polaron. The spectra reveal a progressive transfer of spectral weight from coherent spectral features into an incoherent background with increasing temperature.

Related

  1. Smeared spectral functions from lattice QCD: opportunities and challenges
    Shoji Hashimoto
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsarXiv
  2. Temperature Evolution of Magnon-Polarons in the van der Waals Antiferromagnet FePS3
    A. Krajewska, J. Kierdaszuk, M. Dub +2
    arXivPreprintCC BY-NC-ND 4.0Full textCondensed matterarXiv
  3. Limitations of Debye-Waller lattice temperature extraction under electronic excitation
    N. Medvedev, M. Kopecky, J. Chalupsky +1
    arXivPreprintarXiv licenceFull textCondensed matterarXiv
  4. Interacting Boson System at Finite Temperature: The treatment of the lattice calculations
    D. Anchishkin, V. Gnatovskyy, D. Zhuravel +1
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsNuclear physicsarXiv
  5. A complete quantum process model for physically realistic photo-detection in the joint photon-number and spectral degrees of freedom
    Sadia Rafi, Aeysha Khalique
    arXivPreprintarXiv licenceFull textQuantum physics & quantum informationarXiv

Cite

BibTeXRIS
BibTeX
@misc{gao2026finitetemperature,
  title = {{Finite-temperature spectral functions of lattice polarons with process tensors}},
  author = {Qi Gao and Yuan Wan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.27582},
  eprint = {2610.27582},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.27582},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Finite-temperature spectral functions of lattice polarons with process tensors
AU  - Qi Gao
AU  - Yuan Wan
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.27582
UR  - https://arxiv.org/abs/2610.27582
AB  - We develop a process tensor approach for calculating the finite-temperature spectral functions of lattice polarons. We show that the finite-temperature phonon influence functional can be expressed as the elementwise exponential of a low-rank matrix product state, enabling an efficient summation of electron worldlines. An embedding construction embeds worldlines of different propagation times into a single matrix product state. This construction yields the propagator over the full simulated time interval in a single calculation. We benchmark this approach against available finite-temperature density-matrix renormalization group results for the one-dimensional Holstein polaron. We further obtain numerically converged spectra for the two-dimensional Holstein polaron. The spectra reveal a progressive transfer of spectral weight from coherent spectral features into an incoherent background with increasing temperature.
ER  -