Dark evolution in a time-varying Zeno subspace

Abstract

We investigate the evolution of a quantum system under the influence of sequential measurements. The measurement scheme distinguishes whether or not the system is in a specified state $|f_n>$ at the $n^{\mathrm{th}}$ step, where $|f_n>$ varies with $n$. Dark evolution corresponds to the situation when all measurements give negative results. We show that dark evolution is unitary in the continuous measurement limit. We derive the effective Hamiltonian, and indicate how $|f_n>$ controls quantum state transport.

4 pages

References in corpus (3)

• Unification of Dynamical Decoupling and the Quantum Zeno Effect
• Entangled state preparation via dissipation-assisted adiabatic passages
• Quantum Zeno subspace and entangled Bose-Einstein condensates

Cited by in corpus (2)

• Loss of purity by wave packet scattering at low energies
• Quantum Zeno Effect in Cavity QED: Experimental Proposal with Non Ideal Cavities and Detectors