Diffusive limit of non-Markovian quantum jumps
arXiv:2004.12072 · doi:10.1103/PhysRevLett.125.150403
Abstract
We solve two long standing problems for stochastic descriptions of open quantum system dynamics. First, we find the classical stochastic processes corresponding to non-Markovian quantum state diffusion and non-Markovian quantum jumps in projective Hilbert space. Second, we show that the diffusive limit of non-Markovian quantum jumps can be taken on the projective Hilbert space in such a way that it coincides with non-Markovian quantum state diffusion. However, the very same limit taken on the Hilbert space leads to a completely new diffusive unraveling, which we call non-Markovian quantum diffusion. Further, we expand the applicability of non-Markovian quantum jumps and non-Markovian quantum diffusion by using a kernel smoothing technique allowing a significant simplification in their use. Lastly, we demonstrate the applicability of our results by studying a driven dissipative two level atom in a non-Markovian regime using all of the three methods.
arXiv comment6 pages, 2 figures. Comments are welcome!
References in corpus (23)
- Many-Body Physics with Ultracold Gases
- Entropy production along a stochastic trajectory and an integral fluctuation theorem
- An Open-System Quantum Simulator with Trapped Ions
- Non-Markovian Quantum State Diffusion
- Open system dynamics with non-Markovian quantum trajectories
- Non-Markovian quantum jumps
- Non-Markovian quantum state diffusion: Perturbation approach
- Hierarchy of stochastic pure states for open quantum system dynamics
- Open system dynamics with non-Markovian quantum jumps
- Simulating open quantum systems: from many-body interactions to stabilizer pumping
- Non-Markovian Quantum Jumps in Excitonic Energy Transfer
- Influence of Complex Exciton-Phonon Coupling on Optical Absorption and Energy Transfer of Quantum Aggregates
- Suppression of quantum oscillations and the dependence on site energies in electronic excitation transfer in the Fenna-Matthews-Olson trimer
- Exact open quantum system dynamics using the Hierarchy of Pure States (HOPS)
- Experimental signatures of an absorbing-state phase transition in an open driven many-body quantum system
- An Efficient Quantum Jump Method for Coherent Energy Transfer Dynamics in Photosynthetic Systems under the Influence of Laser Fields
- Rate operator unravelling for open quantum system dynamics
- Optimization of energy transport in the Fenna-Matthews-Olson complex via site-varying pigment-protein interactions
- Stochastic Feshbach Projection for the Dynamics of Open Quantum Systems
- Characterizing a statistical arrow of time in quantum measurement dynamics
- Proposal for probing energy transfer pathway by single-molecule pump-dump experiment
- Diffusion Approximation of Stochastic Master Equations with Jumps
- Jump probabilities in the non-Markovian quantum jump method
Cited by in corpus (11)
- Interference of Quantum Trajectories
- Non-Markovian Quantum Dynamics in Strongly Coupled Multimode Cavities Conditioned on Continuous Measurement
- Quantum trajectories for time-local non-Lindblad master equations
- Non-Markovian environment induced Schrödinger cat state transfer in an optical Newton's cradle
- Effects of non-Markovian squeezed bath on the dynamics of open systems
- How to design quantum-jump trajectories via distinct master equation representations
- Generalized Rate Operator Quantum Jumps via Realization-Dependent Transformations
- Optimized control for high-fidelity state transmission in open systems
- Temperature Controlled Open Quantum System Dynamics using Time-dependent Variational Method
- Thermalization of open quantum systems using the multiple-Davydov-D2 variational approach
- Dynamics of Open Quantum Systems with Initial System-Environment Correlations via Stochastic Unravelings