Quadratic Models for Engineered Control of Open Quantum Systems

Abstract

We introduce a framework to model the evolution of a class of open quantum systems whose environments periodically undergo an instantaneous non-unitary evolution stage. For the special case of quadratic models, we show how this approach can generalise the formalism of repeated interactions to allow for the preservation of system-environment correlations. Furthermore, its continuous zero-period limit provides a natural description of the evolution of small systems coupled to large environments in negligibly perturbed steady states. We explore the advantages and limitations of this approach in illustrative applications to thermalisation in a simple hopping ring and to the problem of initialising a qubit chain via environmental engineering.

arXiv comment10 pages, 2 figures

References in corpus (14)

• Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
• Sudden Death of Entanglement
• The foundations of statistical mechanics from entanglement: Individual states vs. averages
• On the phase structure of driven quantum systems
• Foundation of Statistical Mechanics under experimentally realistic conditions
• High threshold universal quantum computation on the surface code
• Stochastic wave function method for non-Markovian quantum master equations
• Periodic thermodynamics of isolated systems
• Thermalization and Quantum Correlations in Exactly Solvable Models
• The fate of a discrete time crystal in an open system
• Non-Markovian dynamics of a damped driven two-state system
• 2-D color code quantum computation
• Theory of quantum-circuit refrigeration by photon-assisted electron tunneling
• System-Environment Correlations in Qubit Initialization and Control