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Published on: May 30, 2014
Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians
Pablo Martinez-Azcona1, Aritra Kundu1, Avadh Saxena2
1University of Luxembourg, Department of Physics and Materials Science, L-1511 Luxembourg.
Abstract:
We study the quantum dynamics generated by a non-Hermitian Hamiltonian subject to stochastic perturbations in its anti-Hermitian part, describing fluctuating gains and losses. The dynamics averaged over the noise is described by an "antidephasing" master equation. We characterize the resulting state evolution and analyze its purity. The properties of such dynamics are illustrated in a stochastic dissipative qubit. Our analytical results show that adding noise allows for a rich control of the dynamics, stabilizing the lossy state and making state purification possible to a greater variety of steady states.
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