Finite-temperature simulations of strongly correlated systems
- URL: http://arxiv.org/abs/2302.14313v1
- Date: Tue, 28 Feb 2023 05:10:13 GMT
- Title: Finite-temperature simulations of strongly correlated systems
- Authors: Chong Sun
- Abstract summary: This thesis describes several topics related to finite temperature studies of strongly correlated systems.
Study of physical and chemical problems at finite temperatures, especially at low temperature, is essential for understanding the quantum behaviors of materials.
- Score: 4.562919751075539
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: This thesis describes several topics related to finite temperature studies of
strongly correlated systems: finite temperature density matrix embedding theory
(FT-DMET), finite temperature metal-insulator transition, and quantum
algorithms including quantum imaginary time evolution (QITE), quantum Lanczos
(QLanczos), and quantum minimally entangled typical thermal states (QMETTS)
algorithms. While the absolute zero temperature is not reachable, studies of
physical and chemical problems at finite temperatures, especially at low
temperature, is essential for understanding the quantum behaviors of materials
in realistic conditions. Here we define low temperature as the temperature
regime where the quantum effect is not largely dissipated due to thermal
fluctuation. Treatment of systems at low temperatures is especially difficult
compared to both high temperatures - where classical approximation can be
applied - and zero temperatures where only the ground state is required to
describe the system of interest.
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