Global Tensor Network Renormalization for 2D Quantum systems: A new window to probe universal data from thermal transitions
Year: 2025
Type: preprint
Abstract: We propose a new tensor network renormalization group (TNR) scheme based on global optimization and introduce a new method for constructing the finite-temperature density matrix of two-dimensional quantum systems. Combining these two into a new algorithm called thermal tensor network renormalization (TTNR), we obtain highly accurate conformal field theory (CFT) data at thermal transition points. This provides a new and efficient route for numerically identifying phase transitions, offering an alternative to the conventional analysis via critical exponents.
Source: arXiv (Cornell University)
Authors: Ueda, Atsushi, De Meyer, Sander, Naravane, Adwait, Vanthilt, Victor, Verstraete, Frank
Institutions: Ghent University, University of Cambridge
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G1423675079, Fermionic tensor network simulations of thermal and quantum phase transitions, Creating highly entangled quantum states in the NISQ era (CHEQS)., G562246749, Bridging the gap between density functional theory and quantum tensor networks to accurately model strongly correlated nanostructured materials, G8236903087, Simulating, characterizing and exploiting noise in near-term quantum processors
OpenAlex ID: W6967124287