Correlation functions from tensor network influence functionals: The case of the spin-boson model
Year: 2024
Type: article
Abstract: We investigate the application of matrix product state (MPS) representations of the influence functionals (IFs) for the calculation of real-time equilibrium correlation functions in open quantum systems. Focusing specifically on the unbiased spin-boson model, we explore the use of IF-MPSs for complex time propagation, as well as IF-MPSs for constructing correlation functions in the steady state. We examine three different IF approaches: one based on the Kadanoff-Baym contour targeting correlation functions at all times, one based on a complex contour targeting the correlation function at a single time, and a steady state formulation, which avoids imaginary or complex times, while providing access to correlation functions at all times. We show that within the IF language, the steady state formulation provides a powerful approach to evaluate equilibrium correlation functions.
Source: The Journal of Chemical Physics
DOI: 10.1063/5.0224880
Authors: Haimi Nguyen, Nathan Ng, Lachlan P. Lindoy, Gunhee Park, Andrew J. Millis, Garnet Kin-Lic Chan, David R. Reichman
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: G1079818582, G1143651532, G122673668, TRAVERSING THE “DEATH VALLEY” SEPARATING SHORT AND LONG TIMES IN NON-EQUILIBRIUM QUANTUM DYNAMICAL SIMULATIONS OF REAL MATERIALS, G1286236842, G1677143136, G1799333409, G3083819904, G3169062205, G3327601824, G4174758256, G419881185, G42916606, G4501827968, G498139845, G5076365615, TRAVERSING THE “DEATH VALLEY” SEPARATING SHORT AND LONG TIMES IN NON-EQUILIBRIUM QUANTUM DYNAMICAL SIMULATIONS OF REAL MATERIALS, G7354628648, Quantum digital twins for quantum dynamics based on hardware-tailored tensor networks, G969889393
OpenAlex ID: W4402522529