Non-Hermitian dynamics in the quantum Zeno limit

W. Kozlowski, S. F. Caballero-Benitez, I. B. Mekhov

Research output

14 Citations (Scopus)

Abstract

We show that weak measurement leads to unconventional quantum Zeno dynamics with Raman-like transitions via virtual states outside the Zeno subspace. We extend this concept into the realm of non-Hermitian dynamics by showing that the stochastic competition between measurement and a system's own dynamics can be described by a non-Hermitian Hamiltonian. We obtain a solution for ultracold bosons in a lattice and show that a dark state of tunneling is achieved as a steady state in which the observable's fluctuations are zero and tunneling is suppressed by destructive matter-wave interference.

Original languageEnglish
Article number012123
JournalPhysical Review A
Volume94
Issue number1
DOIs
Publication statusPublished - 29 Jul 2016

Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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