Jump-like unravelings for non-Markovian open quantum systems

Abstract

Non-Markovian evolution of an open quantum system can be `unraveled' into pure state trajectories generated by a non-Markovian stochastic (diffusive) Schrödinger equation, as introduced by Diósi, Gisin, and Strunz. Recently we have shown that such equations can be derived using the modal (hidden variable) interpretation of quantum mechanics. In this paper we generalize this theory to treat jump-like unravelings. To illustrate the jump-like behavior we consider a simple system: A classically driven (at Rabi frequency $\Omega$) two-level atom coupled linearly to a three mode optical bath, with a central frequency equal to the frequency of the atom, ${\omega }_0$, and the two side bands have frequencies ${\omega }_0\pm \Omega$. In the large $\Omega$ limit we observed that the jump-like behavior is similar to that observed in this system with a Markovian (broad band) bath. This is expected as in the Markovian limit the fluorescence spectrum for a strongly driven two level atom takes the form of a Mollow triplet. However the length of time for which the Markovian-like behaviour persists depends upon {\em which} jump-like unraveling is used.

11 pages, 5 figures

References in corpus (13)

• Dynamical Reduction Models
• Non-Markovian Quantum State Diffusion
• Open system dynamics with non-Markovian quantum trajectories
• Stochastic wave function method for non-Markovian quantum master equations
• The non-Markovian stochastic Schrodinger equation for open systems
• Non-Markovian quantum state diffusion: Perturbation approach
• Non-Markovian stochastic Schrödinger equations: Generalization to real-valued noise using quantum measurement theory
• The interpretation of non-Markovian stochastic Schrödinger equations as a hidden-variable theory
• Dynamical Reduction Models with General Gaussian Noises
• Non-Markovian quantum trajectories for spectral detection
• A perturbative approach to non-Markovian stochastic Schrödinger equations
• Stochastic Schroedinger Equations with General Complex Gaussian Noises
• A non-Markovian quantum trajectory approach to radiation into structured continuum

Cited by in corpus (15)

• Concepts of quantum non-Markovianity: a hierarchy
• Open system dynamics with non-Markovian quantum jumps
• Pure-state quantum trajectories for general non-Markovian systems do not exist
• Entanglement between charge qubits induced by a common dissipative environment
• Non Markovian Quantum Repeated Interactions and Measurements
• Stochastic Wave-Function Unravelling of the Generalized Lindblad Master Equation
• Entanglement trapping in a non-stationary structured reservoir
• Stochastic Bloch-Redfield theory: quantum jumps in a solid-state environment
• Local in time master equations with memory effects: Applicability and interpretation
• Efficient optimization of state preparation in quantum networks using quantum trajectories
• Non-Markovian waiting time distribution
• Generalized Rate Operator Quantum Jumps via Realization-Dependent Transformations
• Connecting two jumplike unravelings for non-Markovian open quantum systems
• The Minimal Modal Interpretation of Quantum Theory
• Non-Markovian wave-function collapse models are Bohmian-like theories in disguise