TeNeS-v2: Enhancement for Real-Time and Finite Temperature Simulations of Quantum Many-Body Systems

TL;DR

TeNeS-v2 advances tensor network simulations by enabling real-time and finite temperature analysis of quantum many-body systems, simplifying implementation and broadening research applications.

Contribution

It introduces TeNeS-v2, a software extension that incorporates real-time and finite temperature capabilities into tensor network simulations for quantum systems.

Findings

Successfully simulates quantum spin models at finite temperature.

Performs real-time evolution of quantum states efficiently.

Demonstrates applicability to various 2D lattice models.

Abstract

Quantum many-body systems are challenging targets for computational physics due to their large degrees of freedom. The tensor networks, particularly Tensor Product States (TPS) and Projected Entangled Pair States (PEPS), effectively represent these systems on two-dimensional lattices. However, the technical complexity of TPS/PEPS-based coding is often too much for researchers to handle. To reduce this problem, we developed TeNeS (Tensor Network Solver). This paper introduces TeNeS-v2, which extends TeNeS with real-time and finite temperature simulations, providing deeper insights into quantum many-body systems. We detail the new algorithms, input/output design, and application examples, demonstrating TeNeS-v2's applicability to various quantum spin and Bose models on two-dimensional lattices.