Skip to content
DraconiticResearch
Search Sources API
186,123 studies31 sourcesUpdated 31 min ago
Peer-reviewedCC BY 4.0Journal of High Energy Physics

Gaussian continuous tensor network states: short-distance properties and imaginary-time evolution

  • Marco Rigobello1,2
  • Erez Zohar3
  1. 1Max-Planck-Institut für Quantenoptik
  2. 2Università di Padova
  3. 3Tel Aviv University
Open at sourcePDFDOICite

Abstract

A bstract : We study Gaussian continuous tensor network states (GCTNS) — a finitely parameterized subclass of Gaussian states admitting an interpretation as continuum limits of discrete tensor network states. We show that, at short distance, GCTNS correspond to vacua of free Lifshitz theories with even dynamical exponent, establishing a connection between certain entanglement properties of the two. Two schemes for approximating ground states of free bosonic field theories using GCTNS are presented: rational approximants to the exact dispersion relation and Trotterized imaginary-time evolution. We apply them to Klein-Gordon theory and characterize the resulting GCTNS, identifying the scale at which deviations from its conformal short-distance behavior appear. In particular, we construct an optimal rational approximation for which, at fixed accuracy, the bond dimension grows only logarithmically with the UV cutoff. These results provide a simple and analytically controlled setting to assess the strengths and limitations of GCTNS as variational ansätze for relativistic quantum fields.

Related

  1. Scalar Gauss-Bonnet Wormholes and the Imaginary Distance Bound
    Alex Kehagias, Antonio Riotto
    arXivPreprintCC BY 4.0Full textGravitation & general relativityHigh-energy & particle physicsarXiv
  2. Boundary conditions for axionic wormholes, imaginary distance bound and KSW allowability
    Shubhashis Mallik, Neha, Gaurav Narain
    arXivPreprintarXiv licenceFull textHigh-energy & particle physicsarXiv
  3. svPITE: A Python package for the state-vector-based probabilistic imaginary-time evolution algorithm
    Pascal Sievers, Satoshi Ejima
    arXivPreprintCC BY 4.0Full textCondensed matterQuantum physics & quantum informationarXiv
  4. Quantum Imaginary Time Evolution on an Infinite 1D Chain
    Hao-Ti Hung, Tung Tsao, Ying-Jer Kao
    arXivPreprintCC BY 4.0Full textQuantum physics & quantum informationarXiv
  5. Probabilistic imaginary-time evolution via compiled diagonal representations
    Hengyue Li, Huazhe Lou, Yang Li +5
    arXivPreprintarXiv licenceFull textQuantum physics & quantum informationarXiv

Cite

BibTeXRIS
BibTeX
@article{rigobello2026gaussian,
  title = {{Gaussian continuous tensor network states: short-distance properties and imaginary-time evolution}},
  author = {Marco Rigobello and Erez Zohar},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)107},
  url = {https://link.springer.com/10.1007/JHEP10(2026)107},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Gaussian continuous tensor network states: short-distance properties and imaginary-time evolution
AU  - Marco Rigobello
AU  - Erez Zohar
PY  - 2026
DA  - 2026/10/09
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)107
UR  - https://link.springer.com/10.1007/JHEP10(2026)107
AB  - A bstract : We study Gaussian continuous tensor network states (GCTNS) — a finitely parameterized subclass of Gaussian states admitting an interpretation as continuum limits of discrete tensor network states. We show that, at short distance, GCTNS correspond to vacua of free Lifshitz theories with even dynamical exponent, establishing a connection between certain entanglement properties of the two. Two schemes for approximating ground states of free bosonic field theories using GCTNS are presented: rational approximants to the exact dispersion relation and Trotterized imaginary-time evolution. We apply them to Klein-Gordon theory and characterize the resulting GCTNS, identifying the scale at which deviations from its conformal short-distance behavior appear. In particular, we construct an optimal rational approximation for which, at fixed accuracy, the bond dimension grows only logarithmically with the UV cutoff. These results provide a simple and analytically controlled setting to assess the strengths and limitations of GCTNS as variational ansätze for relativistic quantum fields.
SN  - 1029-8479
ER  -