guest ::
| Home > Publications database > Simulations for testing the validity of the Jarzynski relation for non-Gibbsian initial states in isolated quantum spin systems |
| Home > Publications database > Simulations for testing the validity of the Jarzynski relation for non-Gibbsian initial states in isolated quantum spin systems |
| Poster (Other) | FZJ-2016-04022 |
; ; ; ; ;
2016
Please use a persistent id in citations: http://hdl.handle.net/2128/11962
Abstract: Quantum spin systems provide rich opportunities to study properties of collective quantum behavior. There exist various numerical algorithms to simulate the real- and imaginary-time evolution of quantum spin systems, such as the second-order product formula and Chebyshev polynomial algorithms. These algorithms can easily simulate systems with up to 36 spins on current supercomputers. The system size is much larger than the size one can simulate with the exact diagonalization approach. We present large-scale simulation results for a spin ladder system to test the validity of the Jarzynski relation for non-Gibbsian initial states . Since the introduction of the Jarzynski equality many derivations of this equality have been presented in both, the classical and the quantum context. While the approaches and settings greatly differ from one to another, they all appear to rely on the initial state being a thermal Gibbs state. Here, we present an investigation of work distributions in driven isolated quantum systems, starting off from pure states that are close to energy eigenstates of the initial Hamiltonian. We find that, for the nonintegrable system in quest, the Jarzynski equality is fulfilled to good accuracy.
|
The record appears in these collections: |
PDF
PDF (PDFA)