Simulating spin-boson dynamics with stochastic Liouville-von Neumann equations
arXiv:cond-mat/0311544 · doi:10.1016/j.chemphys.2003.09.014
Abstract
Based on recently derived exact stochastic Liouville-von Neumann equations, several strategies for the efficient simulation of open quantum systems are developed and tested on the spin-boson model. The accuracy and efficiency of these simulations is verified for several test cases including both coherent and incoherent dynamics, involving timescales differing by several orders of magnitude. Using simulations with a time-dependent field, the time evolution of coherences in the reduced density matrix is investigated. Even in the case of weak damping, pronounced preparation effects are found. These indicate hidden coherence in the interacting system which can only be indirectly observed in the basis of the reduced quantum dynamics.
25 pages, 7 figures; to be published in Chemical Physics
References in corpus (14)
- Quantum state engineering with Josephson-junction devices
- Coherent Quantum Dynamics of a Superconducting Flux Qubit
- Non-Markovian Quantum State Diffusion
- Open system dynamics with non-Markovian quantum trajectories
- Exact c-number Representation of Non-Markovian Quantum Dissipation
- Low-temperature dynamical simulation of spin-boson systems
- Universality of Decoherence
- Dynamical simulation of current fluctuations in a dissipative two-state system
- A Stochastic Liouvillian Algorithm to Simulate Dissipative Quantum Dynamics With Arbitrary Precision
- Crossover from nonadiabatic to adiabatic electron transfer reactions: Multilevel blocking Monte Carlo simulations
- Iterative algorithm versus analytic solutions of the parametrically driven dissipative quantum harmonic oscillator
- A unified framework for the Kondo problem and for an impurity in a Luttinger liquid
- Quantum Langevin equation from forward--backward path integral
- Dynamical simulation of transport in one-dimensional quantum wires
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