Time evolution of open quantum many-body systems
arXiv:1510.01339 · doi:10.1103/PhysRevA.93.012106
Abstract
We establish a generic method to analyze the time evolution of open quantum many-body systems. Our approach is based on a variational integration of the quantum master equation describing the dynamics and naturally connects to a variational principle for its nonequilibrium steady state. We successfully apply our variational method to study dissipative Rydberg gases, finding excellent quantitative agreement with small-scale simulations of the full quantum master equation. We observe that correlations related to non-Markovian behavior play a significant role during the relaxation dynamics towards the steady state. We further quantify this non-Markovianity and find it to be closely connected to an information-theoretical measure of quantum and classical correlations.
5+3 pages, 8 figures
References in corpus (18)
- Thermalization and its mechanism for generic isolated quantum systems
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- An Open-System Quantum Simulator with Trapped Ions
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Experimental Observation of a Generalized Gibbs Ensemble
- Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
- Strong dissipation inhibits losses and induces correlations in cold molecular gases
- Strongly correlated fermions after a quantum quench
- An experimental and theoretical guide to strongly interacting Rydberg gases
- Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
- Variational principle for steady states of dissipative quantum many-body systems
- Universal non-equilibrium properties of dissipative Rydberg gases
- Strongly correlated growth of Rydberg aggregates in a vapor cell
- Steady-state crystallization of Rydberg excitations in an optically driven lattice gas
- Antiferromagnetic long-range order in dissipative Rydberg lattices
- Driven-dissipative dynamics of a strongly interacting Rydberg gas
- Investigation of dephasing rates in an interacting Rydberg gas
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- Quantum and Nonlinear Optics in Strongly Interacting Atomic Ensembles
- Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems
- Cluster Gutzwiller Monte Carlo approach for a critical dissipative spin model
- Quantum many-body dynamics of driven-dissipative Rydberg polaritons
- Multiple single-photon generations in three-level atoms coupled to cavity with non-Markovian effects
- Dissipative Preparation of Antiferromagnetic Order in the Fermi-Hubbard Model
- Non-Markovian Dynamics in Ultracold Rydberg Aggregates
- Tailored jump operators for purely dissipative quantum magnetism
- Open Ising Model Perturbed by Classical Colored Noises
- Non-equilibrium physics of Rydberg lattices in the presence of noise and dissipative processes
- Time evolution of interacting bosons through squeezing Hamiltonians
- Variational analysis of driven-dissipative bosonic fields