Year: 2025
Type: article
Abstract: The investigation of quantum impurity models plays a crucial role in condensed matter physics because of their wide-ranging applications, such as embedding theories and transport problems. Traditional methods often fall short in producing accurate results for multi-orbital systems with complex interactions and off-diagonal hybridizations. Recently, tensor-train-based integration and summation techniques have shown promise as effective alternatives. In this study, we use tensor train methods to tackle quantum impurity problems formulated within the imaginary-time inchworm hybridization expansion framework. We identify key challenges in the inchworm expansion itself and its interplay with tensor-train-based methods. We demonstrate the accuracy and versatility of our approach by solving general quantum impurity problems. Our results suggest that tensor-train decomposition schemes offer a viable path toward accurate and efficient multi-orbital impurity solvers.
DOI: 10.1103/yt8p-vr1v
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
Funders: National Science Foundation, U.S. Department of Energy, Simons Foundation, Flatiron Health, Israel Science Foundation, PAZY Foundation, Office of Science, Division of Materials Research, Office of Advanced Cyberinfrastructure, Division of Chemistry, Basic Energy Sciences, Advanced Scientific Computing Research
Awards: TRAVERSING THE “DEATH VALLEY” SEPARATING SHORT AND LONG TIMES IN NON-EQUILIBRIUM QUANTUM DYNAMICAL SIMULATIONS OF REAL MATERIALS, G1453181110, G1555197637, Collaborative Research: Practical Strategies for Implementing Quantum Chemistry on Near-Term Quantum Computers, G1787346651, Track 4: Advanced CI Coordination Ecosystem: Monitoring and Measurement Services, NSF-BSF: CDS&E: Tensor Train methods for Quantum Impurity Solvers, G2699111372, G338811424, G3406661761, G3562386289, Track 1: ACCESS Resource Allocations Marketplace and Platform Services (RAMPS), G4010157413, G4174758256, ACO: An Open CI Ecosystem to Advance Scientific Discovery (OpenCI), Track 3: COre National Ecosystem for CyberinfrasTructure (CONECT), G5212984984, G5367127336, G5464919783, G5844539934, G6121277264, G6965887028, G7059278179, TRAVERSING THE “DEATH VALLEY” SEPARATING SHORT AND LONG TIMES IN NON-EQUILIBRIUM QUANTUM DYNAMICAL SIMULATIONS OF REAL MATERIALS, G7279612629, G7916508619, G8174472116, Track 2: Customized Multi-tier Assistance, Training, and Computational Help (MATCH) for End User ACCESS to CI, G8994211811
OpenAlex ID: W4413189432