Simulating quantum Brownian motion with single trapped ions

Abstract

We study the open system dynamics of a harmonic oscillator coupled with an artificially engineered reservoir. We single out the reservoir and system variables governing the passage between Lindblad type and non-Lindblad type dynamics of the reduced system's oscillator. We demonstrate the existence of conditions under which virtual exchanges of energy between system and reservoir take place. We propose to use a single trapped ion coupled to engineered reservoirs in order to simulate quantum Brownian motion.

9 pages, 2 figures. Version 2 focused on the experimental proposal for simulating QBM

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Cited by in corpus (29)

• Quantum Simulation
• Measure for the Non-Markovianity of Quantum Processes
• Entanglement oscillations in non-Markovian quantum channels
• Lindblad and non--Lindblad type dynamics of a quantum Brownian particle
• Equivalence of the measures of non-Markovianty for open two-level systems
• Zeno and anti-Zeno effects for quantum Brownian motion
• Non-Markovian dynamics of a damped driven two-state system
• Exact non-Markovian cavity dynamics strongly coupled to a reservoir
• Complex quantum networks as structured environments: engineering and probing
• Environment-dependent dissipation in quantum Brownian motion
• Limits in the characteristic function description of non-Lindblad-type open quantum systems
• Single-Photon Storing in Coupled Non-Markovian Atom-Cavity System
• Driven harmonic oscillator as a quantum simulator for open systems
• A Lindblad Model of Quantum Brownian Motion
• Bose-Hubbard lattice as a controllable environment for open quantum systems
• A generic map from non-Lindblad to Lindblad master equations
• Efficient Quantum Simulation of Open Quantum System Dynamics on Noisy Quantum Computers
• Multiple single-photon generations in three-level atoms coupled to cavity with non-Markovian effects
• Coupling function from bath density of states
• Non-Markovian weak coupling limit of quantum Brownian motion
• Exact decoherence dynamics of a single-mode optical field
• Quantum Brownian motion for periodic coupling to an Ohmic bath
• Finite-temperature decoherence of spin states in a $\text{{}{\text{Cu}}_3\text{}}$ single molecular magnet
• Relativistic and non-relativistic quantum Brownian motion in an anisotropic dissipative medium
• Control of quantum thermodynamic behaviour of a charged magneto oscillator with momentum dissipation
• Environment dependent vibrational heat transport in molecular Junctions : Rectification, quantum effects, vibrational mismatch
• Revealing virtual processes in the phase space
• Scaling of non-Markovian Monte Carlo wave-function methods
• Non-Markovian reservoir-dependent squeezing