178 citations · 462 across the 6 of their papers we have counts for
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cond-mat.stat-mech2008★ 8 cited
Geometric phase for non-Hermitian Hamiltonian evolution as anholonomy of a parallel transport along a curve
N. A. Sinitsyn, Avadh Saxena
We develop a new interpretation of the geometric phase in evolution with a non-Hermitian real value Hamiltonian by relating it to the angle developed during the parallel transport…
cond-mat.stat-mech2007★ 99 cited
The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
N. A. Sinitsyn, I. Nemenman
We construct a unifying theory of geometric effects in mesoscopic stochastic kinetics. We demonstrate that the adiabatic pump and the reversible ratchet effects, as well as similar…