TY  - CONF
AU  - Jin, Fengping
TI  - Quantum typicality approach: Application to transport in the one-dimensional Hubbard model
M1  - FZJ-2018-05978
PY  - 2018
AB  - In quantum theory, a typical state is a pure random state representing the majority of all possible states, drawn at random from a high-dimensional Hilbert space. The concept of typicality says that such a random state has the same properties as the full statistical ensemble. This concept, together with numerically solving the time-dependent Schrödinger equation (TDSE), is the basis of the so-called quantum typicality approach. It can be used to calculate various properties of quantum systems, such as the density of states (DOS) or certain static and dynamic functions.In this talk, I will start by reviewing the leading methods to solve the TDSE. Following this, I will present the basic concepts contained in the quantum typicality approach. Finally, I will present results of applying the method to transport in the 1D Hubbard model.
T2  - Quantum Many-Body Methods  In Condensed Matter Systems
CY  - 24 Sep 2018 - 27 Sep 2018, Julich (Germany)
Y2  - 24 Sep 2018 - 27 Sep 2018
M2  - Julich, Germany
LB  - PUB:(DE-HGF)6
UR  - https://juser.fz-juelich.de/record/856610
ER  -