Observing different phases for the dynamics of entanglement in an ion trap

Abstract

The evolution of the entanglement between two oscillators coupled to a common thermal environment is non-trivial. The long time limit has three qualitatively different behaviors (phases) depending on parameters such as the temperature of the bath ({\em Phys. Rev. Lett.} \textbf{100}, 220401). The phases include cases with non-vanishing long-term entanglement, others with a final disentangled state, and situations displaying an infinite sequence of events of disappearance and revival of entanglement. We describe an experiment to realize these different scenarios in an ion trap. The motional degrees of freedom of two ions are used to simulate the system while the coupling to an extra (central) ion, which is continuously laser cooled, is the gateway to a decohering reservoir. The scheme proposed allows for the observation and control of motional entanglement dynamics, and is an example of a class of simulations of quantum open systems in the non-Markovian regime.

5 pages, 5 figures

References in corpus (11)

• Finite-Time Disentanglement via Spontaneous Emission
• Quantum simulation of the Dirac equation
• Dynamics of the entanglement between two oscillators in the same environment
• Symplectic invariants, entropic measures and correlations of Gaussian states
• Entangled Mechanical Oscillators
• Employing trapped cold ions to verify the quantum Jarzynski equality
• Non-Markovian entanglement dynamics of quantum continuous variable systems in thermal environments
• Dynamical phases for the evolution of the entanglement between two oscillators coupled to the same environment
• Double wells, scalar fields and quantum phase transitions in ions traps
• Dissipation and entanglement dynamics for two interacting qubits coupled to independent reservoirs
• Generation of continuous variable squeezing and entanglement of trapped ions in time-varying potentials

Cited by in corpus (7)

• Quantum correlations and mutual synchronization
• Quantum control of the motional states of trapped ions through fast switching of trapping potentials
• Entangling two distant oscillators with a quantum reservoir
• Statistical mechanics of entanglement mediated by a thermal reservoir I
• Quantum reservoirs with ion chains
• Robustness of spatial Penning trap modes against environment-assisted entanglement
• Dynamical Phase Transitions in Periodically Driving 1D Ising Model