Oscillatory dynamics and non-markovian memory in dissipative quantum systems

Abstract

The nonequilibrium dynamics of a small quantum system coupled to a dissipative environment is studied. We show that (1) the oscillatory dynamics close to a coherent-to-incoherent transition is surprisingly different from the one of the classical damped harmonic oscillator and that (2) non-markovian memory plays a prominent role in the time evolution after a quantum quench.

5 pages, 3 figures

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• Generalized projected dynamics for non-system observables of non-equilibrium quantum impurity models
• Quantum Dynamics of the Driven and Dissipative Rabi Model
• Quantum interference between independent reservoirs in open quantum systems
• Non-Markovianity and memory effects in quantum open systems
• Generalization of the Time-Dependent Numerical Renormalization Group Method to Finite Temperatures and General Pulses
• Kondo model in nonequilibrium: Interplay between voltage, temperature, and crossover from weak to strong coupling
• Universal short-time dynamics: boundary functional renormalization group for a temperature quench
• Interaction quenches in the two-dimensional fermionic Hubbard model
• The quench dynamics of a dissipative quantum system: a renormalization group study
• Power-law approach to steady state in open lattices of non-interacting electrons
• A perturbative renormalization group approach to driven quantum systems
• Dissipative dynamics of a driven quantum spin coupled to a bath of ultracold fermions
• Transient dynamics of open quantum systems
• Strongly-Correlated Thermoelectric Transport beyond Linear Response
• Dissipative quantum mechanics beyond Bloch-Redfield: A consistent weak-coupling expansion of the ohmic spin boson model at arbitrary bias
• Dynamics of a Qubit in a High-Impedance Transmission Line from a Bath Perspective
• The Ohmic two-state system from the perspective of the interacting resonant level model: Thermodynamics and transient dynamics
• Uncovering nonperturbative dynamics of the biased sub-Ohmic spin-boson model with variational Matrix Product States
• Qubit quantum-dot sensors: noise cancellation by coherent backaction, initial slips, and elliptical precession
• Transport properties of fully screened Kondo models
• Physical background for parameters of the quantum Rabi model
• Dynamical regimes of dissipative quantum systems
• Comparison of the Iterated Equation of Motion Approach and the Density Matrix Formalism for the Quantum Rabi Model
• Modeling the metastable dynamics of correlated structures
• Non-Markovian dynamics for a two-atom-coupled system interacting with local reservoir at finite temperature
• Justification of the single-mode approximation for a finite-duration laser pulse interacting with an electron
• Quantum Fisher information as a witness of non-Markovianity and criticality in the spin-boson model
• Radiative decay of an emitter due to non-Markovian interactions with dissipating matter