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arXiv:1611.06369 · Physical Review A

Generation of robust entangled states in a non-Hermitian periodically driven two-band Bose-Hubbard system

Carlos A. Parra-Murillo, Manuel H. Muñoz-Arias, Javier Madroñero, Sandro Wimberger

Published Mar 22, 2017• 0 citations
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Abstract

A many-body Wannier-Stark system coupled to an effective reservoir is studied within a non-Hermitian approach in the presence of a periodic driving. We show how the interplay of dissipation and driving dynamically induces a subspace of states which are very robust against dissipation. We numerically probe the structure of these asymptotic states and their robustness to imperfections in the initial-state preparation and to the size of the system. Moreover, the asymptotic states are found to be strongly entangled making them interesting for further applications.

DOI
10.1103/physreva.95.032125

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We propose a scheme for generating an entangled state for two atoms trapped in two separate cavities coupled to each other. The scheme is based on the competition between the unitary dynamics induced by the classical fields and the collective decays induced by the dissipation of two non-local bosonic modes. In this scheme, only one qubit is driven by external classical fields, whereas the other need not be manipulated via classical driving. This is meaningful for experimental implementation between separate nodes of a quantum network. The steady entanglement can be obtained regardless of the initial state, and the robustness of the scheme against parameter fluctuations is numerically demonstrated. We also give an analytical derivation of the stationary fidelity to enable a discussion of the validity of this regime. Furthermore, based on the dissipative entanglement preparation scheme, we construct a quantum state transfer setup with multiple nodes as a practical application.
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We present a phenomenon of an asymptotic revival of bipartite entanglement between two stable solid-state qubits interacting via a single-mode cavity subject to dissipation. This effect is achievable in cavity quantum electrodynamics systems, assisted with strong classical pumping detuned from the cavity eigenmode, under the assumption of short system-bosonic reservoir correlation times. Moreover, we prove that this effect is independent of the initial cavity state and that all initially prepared Bell states experience the same qualitative effects. We present a method that can be used to generalize an arbitrary number of solid-state qubits.