Exact description of non-Markovian effect in open quantum system: the discretized environment method

Abstract

An approach, called discretized environment method, is introduced to treat exactly non-Markovian effects in open quantum systems. In this approach, a complex environment described by a spectral function is mapped into a finite set of discretized states with an appropriate coupling to the system of interest. The finite set of system plus environment degrees of freedom are then explicitly followed in time leading to a quasi-exact description. The present approach is anticipated to be particularly accurate in the low temperature and strongly non-Markovian regime. The discretized environment method is validated on a two-level system (qubit) coupled to a bosonic or fermionic heat bath. A perfect agreement with the quantum Langevin approach is found. Further illustrations are made on a three-level system (qutrit) coupled to a bosonic heat-bath. Emerging processes due to strong memory effects are discussed.

arXiv comment7 pages, 5 figures

References in corpus (19)

• Concepts and methods in the theory of open quantum systems
• Non-Markovian Quantum State Diffusion
• Open system dynamics with non-Markovian quantum trajectories
• Stochastic wave function method for non-Markovian quantum master equations
• Non-Markovian quantum jumps
• Non-Markovian Relaxation of a Three-Level System: Quantum Trajectory Approach
• Non-Markovian Quantum Jumps in Excitonic Energy Transfer
• Linear quantum state diffusion for non-Markovian open quantum systems
• Non-Gaussian Fluctuation and Non-Markovian Effect in the Nuclear Fusion Process: Langevin Dynamics Emerging from Quantum Molecular Dynamics Simulations
• Redundancy of classical and quantum correlations during decoherence
• On the spectral origin of non-Markovianity: an exact finite model
• Non-Markovian Decay of a Three Level Cascade Atom in a Structured Reservoir
• An Efficient Quantum Jump Method for Coherent Energy Transfer Dynamics in Photosynthetic Systems under the Influence of Laser Fields
• Quantum Monte-Carlo method applied to Non-Markovian barrier transmission
• Entanglement trapping in a non-stationary structured reservoir
• The non-Markovian quantum behavior of open systems: An exact Monte Carlo method employing stochastic product states
• Exact stochastic simulation of dissipation and non-Markovian effects in open quantum systems
• Optimizing stochastic trajectories in exact quantum jump approaches of interacting systems
• Non-Markovian dynamics with fermions

Cited by in corpus (5)

• Quantum Darwinism and non-Markovianity in a model of quantum harmonic oscillators
• Galvano- and thermo-magnetic effects at low and high temperatures within non-Markovian quantum Langevin approach
• Non-Markovian modeling of Fermi-Bose systems coupled to one or several Fermi-Bose thermal baths
• Non-Markovian feature of the classical Hall effect
• Open quantum system in external magnetic field within non-Markovian quantum Langevin approach