Quantum non-Markovian collision models from colored-noise baths
arXiv:1903.08700 · doi:10.1007/978-3-030-31146-9_3
Abstract
A quantum collision model (CM), also known as repeated interactions model, can be built from the standard microscopic framework where a system S is coupled to a white-noise bosonic bath under the rotating wave approximation, which typically results in Markovian dynamics. Here, we discuss how to generalize the CM construction to the case of frequency-dependent system-bath coupling, which defines a class of colored-noise baths. This leads to an intrinsically non-Markovian CM, where each ancilla (bath subunit) collides repeatedly with S at different steps. We discuss the illustrative example of an atom in front a mirror in the regime of non-negligible retardation times.
arXiv comment13 pages, 3 figures
References in corpus (39)
- Non-Markovian dynamics in open quantum systems
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Open Quantum Systems. An Introduction
- Thermalizing Quantum Machines: Dissipation and Entanglement
- A simple model of quantum trajectories
- Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
- Photon scattering by a three-level emitter in a one-dimensional waveguide
- Nonexponential decay of a giant artificial atom
- Photonic Quantum Circuits with Time Delays
- The giant acoustic atom -- a single quantum system with a deterministic time delay
- Laser driven atoms in half-cavities
- Photonic tensor networks produced by a single quantum emitter
- Exciting a Bound State in the Continuum through Multi-Photon Scattering plus Delayed Quantum Feedback
- Time-delayed quantum feedback control
- Dynamics of spontaneous emission in a single-end photonic waveguide
- Non-Markovian Dynamics in Chiral Quantum Networks with Spins and Photons
- Collision model for non-Markovian quantum dynamics
- Composite quantum collision models
- Qubit models of weak continuous measurements
- Simulation of indivisible qubit channels in collision models
- Scattering of two photons from two distant qubits: Exact solution
- Non-Markovianity of a quantum emitter in front of a mirror
- System-environment correlations and Markovian embedding of quantum non-Markovian dynamics
- Collision models in quantum optics
- Scattering into one-dimensional waveguides from a coherently-driven quantum-optical system
- Delayed Coherent Quantum Feedback from a Scattering Theory and a Matrix Product State Perspective
- Non-Markovian quantum input-output networks
- Non-Markovian Dynamics of a Qubit Due to Single-Photon Scattering in a Waveguide
- Class of exact memory-kernel master equations
- Quantum trajectories for propagating Fock states
- Open quantum systems with delayed coherent feedback
- Unitarity, Feedback, Interactions -- Dynamics Emergent from Repeated Measurements
- Non-Markovian Open Quantum Systems: Input-Output Fields, Memory, Monitoring
- Quantum trajectories for a system interacting with environment in a single photon state: counting and diffusive processes
- Comparison between continuous- and discrete-mode coherent feedback for the Jaynes-Cummings model
- Trapped Modes in Linear Quantum Stochastic Networks with Delays
- FDTD: solving 1+1D delay PDE in parallel
- Derivation of the quantum-optical master equation based on coarse-graining of time
- Emergence of non-Markovianity in the emission process of an atom in a half-cavity
Cited by in corpus (6)
- Quantum collision models: open system dynamics from repeated interactions
- Collisional picture of quantum optics with giant emitters
- Battery charging in collision models with Bayesian risk strategies
- Quantum memory enhanced dissipative entanglement creation in non-equilibrium steady states
- Multipartite correlations in quantum collision models
- Making Quantum Collision Models Exact