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8 papers · 2 filters
Non-Markovian quantum dynamics: Correlated projection superoperators and Hilbert space averaging
Heinz-Peter Breuer, Jochen Gemmer, Mathias Michel
The time-convolutionless (TCL) projection operator technique allows a systematic analysis of the non-Markovian quantum dynamics of open systems. We introduce a class of projection…
Continuous time quantum walks in phase space
Oliver Muelken, Alexander Blumen
We formulate continuous time quantum walks (CTQW) in a discrete quantum mechanical phase space. We define and calculate the Wigner function (WF) and its marginal distributions for…
Asymmetries in symmetric quantum walks on two-dimensional networks
Oliver Muelken, Antonio Volta, Alexander Blumen
We study numerically the behavior of continuous-time quantum walks over networks which are topologically equivalent to square lattices. On short time scales, when placing the initi…
State space structure and entanglement of rotationally invariant spin systems
Heinz-Peter Breuer
We investigate the structure of SO(3)-invariant quantum systems which are composed of two particles with spins j_1 and j_2. The states of the composite spin system are represented…
Entanglement in SO(3)-invariant bipartite quantum systems
Heinz-Peter Breuer
The structure of the state spaces of bipartite (N tensor N) quantum systems which are invariant under product representations of the group SO(3) of three-dimensional proper rotatio…
Multi-Instantons and Exact Results II: Specific Cases, Higher-Order Effects, and Numerical Calculations
Jean Zinn-Justin, Ulrich D. Jentschura
In this second part of the treatment of instantons in quantum mechanics, the focus is on specific calculations related to a number of quantum mechanical potentials with degenerate…