Composite quantum collision models

Abstract

A collision model (CM) is a framework to describe open quantum dynamics. In its {\it memoryless} version, it models the reservoir $\mathcal{R}$ as consisting of a large collection of elementary ancillas: the dynamics of the open system $\mathcal{S}$ results from successive "collisions" of $\mathcal{S}$ with the ancillas of $\mathcal{R}$. Here, we present a general formulation of memoryless {\it composite} CMs, where $\mathcal{S}$ is partitioned into the very open system under study $S$ coupled to one or more auxiliary systems $\{S_i\}$. Their composite dynamics occurs through internal $S$-$\{S_i\}$ collisions interspersed with external ones involving $\{S_i\}$ and the reservoir $\mathcal{R}$. We show that important known instances of quantum {\it non-Markovian} dynamics of $S$ -- such as the emission of an atom into a reservoir featuring a Lorentzian, or multi-Lorentzian, spectral density or a qubit subject to random telegraph noise -- can be mapped on to such {\it memoryless} composite CMs.

12 pages, 4 figures

References in corpus (32)

• Non-Markovian dynamics in open quantum systems
• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Quantum Computers and Dissipation
• Open Quantum Systems. An Introduction
• Thermalizing Quantum Machines: Dissipation and Entanglement
• Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
• Atom-field dressed states in slow-light waveguide QED
• Collision-model-based approach to non-Markovian quantum dynamics
• Time-delayed quantum feedback control
• Master equations for correlated quantum channels
• Landauer's principle in multipartite open quantum system dynamics
• Collision model for non-Markovian quantum dynamics
• All (qubit) decoherences: Complete characterization and physical implementation
• Experimental observation of weak non-Markovianity
• Simulation of indivisible qubit channels in collision models
• Non-Markovianity and System-Environment Correlations in a microscopic collision model
• Implications of non-Markovian dynamics for the Landauer bound
• Photon localization versus population trapping in a coupled-cavity array
• Environmental correlations and Markovian to non-Markovian transitions in collisional models
• Generalized master equations leading to completely positive dynamics
• All-optical non-Markovian stroboscopic quantum simulator
• The multilevel four-stroke swap engine and its environment
• Non-Markovian master equations from piecewise dynamics
• Heat flux dynamics in dissipative cascaded systems
• Sufficient conditions for memory kernel master equation
• Class of exact memory-kernel master equations
• A quantum non-Markovian collision model: incoherent swap case
• General structure of quantum collisional models
• On generalized semi-Markov quantum evolution
• Quantum non-Markovianity induced by Anderson localization
• Equivalent qubit dynamics under classical and quantum noise
• Non-Markovian Toy Quantum Chain

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• Master Equation Emulation and Coherence Preservation with Classical Control of a Superconducting Qubit
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• Classical Limits and Contextuality in a Scenario of Multiple Observers
• Simulating Non-Markovian Dynamics in Multidimensional Electronic Spectroscopy via Quantum Algorithm
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