Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2010-04-09
Nonlinear Sciences
Chaotic Dynamics
8 pages, 6 figures
Scientific paper
Because of a formal equivalence with the partition function of an Ising chain, the semiclassical traces of the quantum baker map can be calculated using the transfer-matrix method. We analyze the transfer matrices associated with the baker map and the symmetry-reflected baker map (the latter happens to be unitary but the former is not). In both cases simple quantum-circuit representations are obtained, which exhibit the typical structure of qubit quantum bakers. In the case of the baker map it is shown that nonunitarity is restricted to a one-qubit operator (close to a Hadamard gate for some parameter values). In a suitable continuum limit we recover the already known infinite-dimensional transfer-operator. We devise truncation schemes allowing the calculation of long-time traces in regimes where the direct summation of Gutzwiller's formula is impossible. Some aspects of the long-time divergence of the semiclassical traces are also discussed.
Abreu Romulo F.
Carlo Gabriel G.
Vallejos Raul O.
No associations
LandOfFree
Transfer Matrices and Circuit Representation for the Semiclassical Traces of the Baker Map does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Transfer Matrices and Circuit Representation for the Semiclassical Traces of the Baker Map, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transfer Matrices and Circuit Representation for the Semiclassical Traces of the Baker Map will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-221698