Dresden 2026 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 51: Correlated Electrons: Method Development II

TT 51.10: Talk

Wednesday, March 11, 2026, 17:30–17:45, HSZ/0101

Finite-temperature DMRG calculations for big spin systems using matrix product states — •Lukas Horstmann and Jürgen Schnack — University of Bielefeld, Bielefeld, Germany

Nowadays DMRG is a well established method for calculating ground states. Over time and with the introduction of Matrix Product State (MPS) more and more applications were discovered. On of these is using imaginary time-evolution to calculate finite-temperature states. For this application there already exist a few different methods to achieve it: Time Evolution Block Decimation(TEBD), Time Dependent Variational Principle (TDVP) both with purification and Minimally Entangled Typical Thermal States (METTS) using a sampling approach. These methods perform differently based on the model. Here we will discuss in which scenarios which method is performing best in a one-dimensional model. The focus will be on the aspects of runtime and accuracy for temperatures down to T = 0.5, with the prospect to use it to simulate magnetic observables in real quantum systems.

Keywords: DMRG; Finite Temperature; Matrix Product States; time-evolution; TDVP