Quantum theory of heating of a single trapped ion

Abstract

The heating of trapped ions due to the interaction with a {\it quantized environment} is studied {\it without performing the Born-Markov approximation}. A generalized master equation local in time is derived and a novel theoretical approach to solve it analytically is proposed. Our master equation is in the Lindblad form with time dependent coefficients, thus allowing the simulation of the dynamics by means of the Monte Carlo Wave Function (MCWF) method.

4 pages, 3 figures

References in corpus (4)

• Heating of trapped ions from the quantum ground state
• Quantum state engineering on an optical transition and decoherence in a Paul trap
• Stochastic wave function method for non-Markovian quantum master equations
• Quantum trajectories for Brownian motion

Cited by in corpus (11)

• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Finding the Kraus decomposition from a master equation and vice versa
• Entanglement oscillations in non-Markovian quantum channels
• Lindblad and non--Lindblad type dynamics of a quantum Brownian particle
• Density matrix operatorial solution of the non--Markovian Master Equation for Quantum Brownian Motion
• Simulating quantum Brownian motion with single trapped ions
• Environment-dependent dissipation in quantum Brownian motion
• Misbelief and misunderstandings on the non--Markovian dynamics of a damped harmonic oscillator
• Driven harmonic oscillator as a quantum simulator for open systems
• How modes shape Casimir Physics
• Two-Mode Bosonic State Tomography with Single-Shot Joint-Parity Measurement of a Trapped Ion