Decoherence and Entanglement Dynamics of Coupled Qubits
APA
Hamma, A. (2009). Decoherence and Entanglement Dynamics of Coupled Qubits. Perimeter Institute. https://pirsa.org/09030047
MLA
Hamma, Alioscia. Decoherence and Entanglement Dynamics of Coupled Qubits. Perimeter Institute, Mar. 23, 2009, https://pirsa.org/09030047
BibTex
@misc{ pirsa_PIRSA:09030047, doi = {10.48660/09030047}, url = {https://pirsa.org/09030047}, author = {Hamma, Alioscia}, keywords = {Quantum Information}, language = {en}, title = {Decoherence and Entanglement Dynamics of Coupled Qubits}, publisher = {Perimeter Institute}, year = {2009}, month = {mar}, note = {PIRSA:09030047 see, \url{https://pirsa.org}} }
University of Naples Federico II
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Abstract
We study the entanglement dynamics and relaxation properties of a system of two interacting qubits in the two cases (I) two independent bosonic baths and (II) one common bath, at temperature $T$. The entanglement dynamics is studied in terms of the concurrence C(t) between the two spins and of the von Neumann entropy S(t) with respect to the bath, as a function of time. We prove that the system does thermalize. In the case (II) of a single bath, the existence of a decoherence-free (DFS) subspace makes entanglement dynamics very rich. We show that when the system is initially in a state with a component in the DFS the relaxation time is surprisingly long, showing the existence of semi-decoherence free subspaces. The equilibrium state in this case is not the Gibbs state. The entanglement dynamics for the single bath case is also studied as a function of temperature, coupling strength with the environment and strength of tunneling coupling. The case of the mixed state is finally shown and discussed.